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https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/443/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?y=x^2+x https://latex.codecogs.com/gif.latex?4x^2 https://latex.codecogs.com/gif.latex?\frac{4x^2 (x^2+2x+4)}{4x^2} https://latex.codecogs.com/gif.latex?16^x=4 https://latex.codecogs.com/gif.latex?\frac{42 \text{ dollars}}{6 \text{ dollars/ticket}} = 7 \text{ tickets} https://latex.codecogs.com/gif.latex?\frac{42 \text{ dollars} + 56 \text{ dollars}}{7 \text{ tickets}} = 14 \text{ dollars} https://latex.codecogs.com/gif.latex?4\text{ walls }\times\frac{9\text{ feet}}{\text{wall}}\times\frac{13\text{ feet}}{\text{wall}} = 468 \text{ square feet} https://latex.codecogs.com/gif.latex?\frac{2 +3}{x}=40 https://latex.codecogs.com/gif.latex?20 \text{ days}\times\frac{8 \text{ hours}}{\text{ day}} = 160 \text{ hours} https://latex.codecogs.com/gif.latex?160 \text{ hours}\times\frac{\text{\$}12}{\text{ hour}} = \$1920 https://latex.codecogs.com/gif.latex?\frac{-10 + 6}{2}=\frac{-4}{2}=-2 https://latex.codecogs.com/gif.latex?\frac{-4 + 8}{2}=\frac{4}{2}=2 https://latex.codecogs.com/gif.latex?n^{th} https://latex.codecogs.com/gif.latex?\frac{n}{2}(15+60)=\frac{10}{2}(75)=375 https://latex.codecogs.com/gif.latex?30=\sqrt{10^2+a^2}, 30^2 = 10^2 + a^2, a = \sqrt{800} https://latex.codecogs.com/gif.latex?15=\sqrt{10^2+b^2}, 15^2 = 10^2 + b^2, b = \sqrt{125}. \sqrt{800} + \sqrt{125} \doteq 39.46 https://latex.codecogs.com/gif.latex?\frac{14\text{ cups}}{\text{bag}}\times\frac{1}{2}\text{ bags} = 7 \text{ cups} https://latex.codecogs.com/gif.latex?\frac{2}{3} https://latex.codecogs.com/gif.latex?\frac{5}{3} https://latex.codecogs.com/gif.latex?\frac{7}{\frac{5}{3}}=4.2 \text{ cakes} https://latex.codecogs.com/gif.latex?\frac{4}{\frac{3}{4}}=5.3 \text{ cakes} https://latex.codecogs.com/gif.latex?\frac{1}{3} https://latex.codecogs.com/gif.latex?\frac{2}{7} https://latex.codecogs.com/gif.latex?\frac{\frac{1}{3}}{\frac{2}{7}} = (\frac{1}{3})(\frac{7}{2}) = \frac{7}{6} https://latex.codecogs.com/gif.latex?x = (3)(\frac{90}{2}) = (3)(45) =135 https://latex.codecogs.com/gif.latex?\frac{new-original}{original}=\frac{6,000-10,000}{10,000}=\frac{-4,000}{10,000}=-0.4 https://latex.codecogs.com/gif.latex?\frac{20 + 60 + 80 + 40}{2} = 100^{th} \text{ data point} https://latex.codecogs.com/gif.latex?\frac{a}{b} < 1 https://latex.codecogs.com/gif.latex?a^2 < b^2 https://latex.codecogs.com/gif.latex?a^2 b^3 https://latex.codecogs.com/gif.latex?\frac{1}{9}, https://latex.codecogs.com/gif.latex?g(8)=\sqrt{(2)(8) }=\sqrt{16}=4 https://latex.codecogs.com/gif.latex?(4)^2+2(4)=16+8=24 https://latex.codecogs.com/gif.latex?P(3)=20(10)^3=20(1000)=20,000 https://latex.codecogs.com/gif.latex?1000=40(5)^5x https://latex.codecogs.com/gif.latex?25=5^5x,\text{ and } x=\frac{2}{5} https://latex.codecogs.com/gif.latex?\sqrt{3^2+3^2} = \sqrt{18} https://latex.codecogs.com/gif.latex?4\times(10-2\times3)=4\times4=16 https://latex.codecogs.com/gif.latex?\frac{-1}{5} https://latex.codecogs.com/gif.latex? 4=(\frac{-1}{5})(-4)+b,4=\frac{4}{5}+b,\frac{16}{5}=b https://latex.codecogs.com/gif.latex?\frac{n!}{(n-r)!} https://latex.codecogs.com/gif.latex?\frac{120!}{(120-9)!} https://latex.codecogs.com/gif.latex?log_cx = a https://latex.codecogs.com/gif.latex?log_cy = b https://latex.codecogs.com/gif.latex?log_cxy = a + b https://latex.codecogs.com/gif.latex?\frac{126}{18} = 7 https://latex.codecogs.com/gif.latex?\frac{42}{7} = 6 https://latex.codecogs.com/gif.latex?(6)(7)=42 https://latex.codecogs.com/gif.latex?(6)(7)=42 https://latex.codecogs.com/gif.latex?y = \frac{37}{7} https://latex.codecogs.com/gif.latex?\frac{1}{3} https://latex.codecogs.com/gif.latex?\frac{1}{3} https://latex.codecogs.com/gif.latex?\sin^2(x) + \cos^2(x) = 1 https://latex.codecogs.com/gif.latex?\frac{2(1)}{4} = \frac{1}{2} https://www.ivyglobal.ca/study/explanations/454/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;3x&space;-&space;4&space;&=&space;-\frac{1}{2x}&space;\\&space;3x&space;&plus;\frac{1}{2x}&space;&=&space;4&space;\\&space;\frac{7}{2}x&space;&=&space;4&space;\\&space;x&space;&=&space;\frac{8}{7}&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;3x&amp;space;-&amp;space;4&amp;space;&amp;=&amp;space;-\frac{1}{2x}&amp;space;\\&amp;space;3x&amp;space;&amp;plus;\frac{1}{2x}&amp;space;&amp;=&amp;space;4&amp;space;\\&amp;space;\frac{7}{2}x&amp;space;&amp;=&amp;space;4&amp;space;\\&amp;space;x&amp;space;&amp;=&amp;space;\frac{8}{7}&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;a_{(21)}&space;&=&space;11&space;+&space;(-3)(21&space;-&space;1)\\&space;a_{(21)}&space;&=&space;11&space;-&space;3(20)\\&space;a_{(21)}&space;&=&space;-49&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;a_{(21)}&amp;space;&amp;=&amp;space;11&amp;space;+&amp;space;(-3)(21&amp;space;-&amp;space;1)\\&amp;space;a_{(21)}&amp;space;&amp;=&amp;space;11&amp;space;-&amp;space;3(20)\\&amp;space;a_{(21)}&amp;space;&amp;=&amp;space;-49&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;y&space;=&space;rq&space;=&space;x^2&space;\times&space;12x&space;=&space;12x^3 https://latex.codecogs.com/gif.latex?\small&amp;space;y&amp;space;=&amp;space;rq&amp;space;=&amp;space;x^2&amp;space;\times&amp;space;12x&amp;space;=&amp;space;12x^3 https://latex.codecogs.com/gif.latex?\small&space;\frac{1}{8} https://latex.codecogs.com/gif.latex?\small&amp;space;\frac{1}{8} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;y&space;&=&space;12\left&space;(&space;\frac{1}{2}x&space;\right&space;)^3&space;\\&space;y&space;&=&space;\frac{1}{8}&space;\times&space;12x^3&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;y&amp;space;&amp;=&amp;space;12\left&amp;space;(&amp;space;\frac{1}{2}x&amp;space;\right&amp;space;)^3&amp;space;\\&amp;space;y&amp;space;&amp;=&amp;space;\frac{1}{8}&amp;space;\times&amp;space;12x^3&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\frac{1}{8} https://latex.codecogs.com/gif.latex?\small&amp;space;\frac{1}{8} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;2x&space;&\leq&space;8&space;\\&space;x&space;&\leq&space;4&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;2x&amp;space;&amp;\leq&amp;space;8&amp;space;\\&amp;space;x&amp;space;&amp;\leq&amp;space;4&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;2x^2&space;-&space;x&space;-&space;1&space;&=&space;2x^2&space;&plus;&space;(-2x&space;&plus;&space;1x)&space;-&space;1\\&space;&=&space;2x^2&space;-&space;2x&space;&plus;&space;x&space;-&space;1\\&space;&=&space;2x(x&space;-1&space;)&space;&plus;&space;1(x&space;-1&space;)\\&space;&=&space;(2x&space;&plus;&space;1&space;)(x&space;-1)\\&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;2x^2&amp;space;-&amp;space;x&amp;space;-&amp;space;1&amp;space;&amp;=&amp;space;2x^2&amp;space;&amp;plus;&amp;space;(-2x&amp;space;&amp;plus;&amp;space;1x)&amp;space;-&amp;space;1\\&amp;space;&amp;=&amp;space;2x^2&amp;space;-&amp;space;2x&amp;space;&amp;plus;&amp;space;x&amp;space;-&amp;space;1\\&amp;space;&amp;=&amp;space;2x(x&amp;space;-1&amp;space;)&amp;space;&amp;plus;&amp;space;1(x&amp;space;-1&amp;space;)\\&amp;space;&amp;=&amp;space;(2x&amp;space;&amp;plus;&amp;space;1&amp;space;)(x&amp;space;-1)\\&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;0&=x^2&plus;2x-7x&plus;1-7\\&space;0&=x^2-5x-6\\&space;0&=&space;x^2-6x&plus;x-6\\&space;0&=x(x-6)&plus;1(x-6)\\&space;0&=(x-6)(x&plus;1)\\&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;0&amp;=x^2&amp;plus;2x-7x&amp;plus;1-7\\&amp;space;0&amp;=x^2-5x-6\\&amp;space;0&amp;=&amp;space;x^2-6x&amp;plus;x-6\\&amp;space;0&amp;=x(x-6)&amp;plus;1(x-6)\\&amp;space;0&amp;=(x-6)(x&amp;plus;1)\\&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;x&plus;1=|x-7| https://latex.codecogs.com/gif.latex?\small&amp;space;x&amp;plus;1=|x-7| https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;x&plus;1&=x-7\\&space;0&=-8&space;?&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;x&amp;plus;1&amp;=x-7\\&amp;space;0&amp;=-8&amp;space;?&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;x&plus;1&=-(x-7)\\&space;x&plus;1&=-x&plus;7\\&space;2x&=6\\&space;x&=3&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;x&amp;plus;1&amp;=-(x-7)\\&amp;space;x&amp;plus;1&amp;=-x&amp;plus;7\\&amp;space;2x&amp;=6\\&amp;space;x&amp;=3&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;10&=\sqrt{20&plus;2w}\\&space;100&=20&plus;2w\\&space;50&=10&plus;w\\&space;w&=40&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;10&amp;=\sqrt{20&amp;plus;2w}\\&amp;space;100&amp;=20&amp;plus;2w\\&amp;space;50&amp;=10&amp;plus;w\\&amp;space;w&amp;=40&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;b(8)=8\text{ boards per hour} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;b\;(40)&=\sqrt{20+2(40)}\\&=\sqrt{20+80}\\&=\sqrt{100}\\&=10\;\text{boards}&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;b\;(40)&amp;=\sqrt{20+2(40)}\\&amp;=\sqrt{20+80}\\&amp;=\sqrt{100}\\&amp;=10\;\text{boards}&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;\frac{f(x)}{g(x)}&=\frac{x^2-4x-4}{x^2+5x-14}&space;\\&space;&=\frac{(x-2)(x-2)}{(x+7)(x-2)}&space;\\&=\frac{x-2}{x+7}&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;\frac{f(x)}{g(x)}&amp;=\frac{x^2-4x-4}{x^2+5x-14}&amp;space;\\&amp;space;&amp;=\frac{(x-2)(x-2)}{(x+7)(x-2)}&amp;space;\\&amp;=\frac{x-2}{x+7}&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\frac{356}{4}=89 https://latex.codecogs.com/gif.latex?\small&amp;space;\frac{356}{4}=89 https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;F-6+F=2\\&space;2F=8\\&space;F=4&space;\\&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;F-6+F=2\\&amp;space;2F=8\\&amp;space;F=4&amp;space;\\&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}4-2+F&=2\\F&=4 \end{align*} https://latex.codecogs.com/gif.latex?\small&space;\frac{n}{m} https://latex.codecogs.com/gif.latex?\small&amp;space;\frac{n}{m} https://latex.codecogs.com/gif.latex?\small&space;\text{log}_b\;b&space;=&space;1 https://latex.codecogs.com/gif.latex?\small&amp;space;\text{log}_b\;b&amp;space;=&amp;space;1 https://latex.codecogs.com/gif.latex?\small&space;6^\frac{n}{m} https://latex.codecogs.com/gif.latex?\small&amp;space;6^\frac{n}{m} https://latex.codecogs.com/gif.latex?\small&space;\frac{n}{m} https://latex.codecogs.com/gif.latex?\small&amp;space;\frac{n}{m} https://latex.codecogs.com/gif.latex?\small&space;\text{log}_6\;6^{\left&space;(&space;\frac{n}{m}&space;\right&space;)}&space;>&space;1 https://latex.codecogs.com/gif.latex?\small&amp;space;\text{log}_6\;6^{\left&amp;space;(&amp;space;\frac{n}{m}&amp;space;\right&amp;space;)}&amp;space;&gt;&amp;space;1 https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;\frac{(i+a)(i-a)}{i^3-ia^2}&space;&=\frac{i^2-a^2}{i(i^2-a^2&space;)}&space;\\&space;&=&space;\frac{1}{i}&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;\frac{(i+a)(i-a)}{i^3-ia^2}&amp;space;&amp;=\frac{i^2-a^2}{i(i^2-a^2&amp;space;)}&amp;space;\\&amp;space;&amp;=&amp;space;\frac{1}{i}&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\small&space;\begin{align*}&space;\frac{1}{i}\times&space;\frac{i}{i}&space;&=&space;\frac{i}{-1}\\&space;&=-i&space;\end{align*} https://latex.codecogs.com/gif.latex?\small&amp;space;\begin{align*}&amp;space;\frac{1}{i}\times&amp;space;\frac{i}{i}&amp;space;&amp;=&amp;space;\frac{i}{-1}\\&amp;space;&amp;=-i&amp;space;\end{align*} https://www.ivyglobal.ca/study/explanations/464/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/468/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/499/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/504/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/642/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;\overline{BC}&=&\sqrt{\overline{AB}^2+\overline{AC}^2}\\&space;&=&\sqrt{(3x^2)^2+(\sqrt{x})^2}\\&space;&=&\sqrt{9x^4+x}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;\overline{BC}&amp;=&amp;\sqrt{\overline{AB}^2+\overline{AC}^2}\\&amp;space;&amp;=&amp;\sqrt{(3x^2)^2+(\sqrt{x})^2}\\&amp;space;&amp;=&amp;\sqrt{9x^4+x}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;200-10x&=&320-20x\\&space;10x&=&120\\&space;x&=&12\degree&space;\mathrm{C}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;200-10x&amp;=&amp;320-20x\\&amp;space;10x&amp;=&amp;120\\&amp;space;x&amp;=&amp;12\degree&amp;space;\mathrm{C}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;s=l&=&200-10x\\&space;&=&200-10(12)\\&space;&=&80\mathrm{\&space;bacteria&space;}\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;s=l&amp;=&amp;200-10x\\&amp;space;&amp;=&amp;200-10(12)\\&amp;space;&amp;=&amp;80\mathrm{\&amp;space;bacteria&amp;space;}\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;5+3w&=&48\\&space;w&=&\frac{43}{3}\\&space;w&=&14.\overline{3}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;5+3w&amp;=&amp;48\\&amp;space;w&amp;=&amp;\frac{43}{3}\\&amp;space;w&amp;=&amp;14.\overline{3}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;5x&=&15\\&space;x&=&3&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;5x&amp;=&amp;15\\&amp;space;x&amp;=&amp;3&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;2^a&=&\frac{4^{2(3)}}{2^3}\\&space;2^a&=&\frac{(2^2)^6}{2^3}\\&space;2^a&=&2^{12-3}\\&space;a&=&9&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;2^a&amp;=&amp;\frac{4^{2(3)}}{2^3}\\&amp;space;2^a&amp;=&amp;\frac{(2^2)^6}{2^3}\\&amp;space;2^a&amp;=&amp;2^{12-3}\\&amp;space;a&amp;=&amp;9&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;0&>&3^2-4(2)c\\&space;0&>&9-8c\\&space;c&>&\frac{9}{8}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;0&amp;&gt;&amp;3^2-4(2)c\\&amp;space;0&amp;&gt;&amp;9-8c\\&amp;space;c&amp;&gt;&amp;\frac{9}{8}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;\frac{x-5}{x&plus;2}-\frac{7}{x-2}&=&(\frac{x-5}{x&plus;2}\times\frac{x-2}{x-2})-(\frac{7}{x-2}\times\frac{x&plus;2}{x&plus;2})\\&space;&=&\frac{x^2-7x&plus;10}{x^2-4}-\frac{7x&plus;14}{x^2-4}\\&space;&=&\frac{x^2-14x-4}{x^2-4}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;\frac{x-5}{x&amp;plus;2}-\frac{7}{x-2}&amp;=&amp;(\frac{x-5}{x&amp;plus;2}\times\frac{x-2}{x-2})-(\frac{7}{x-2}\times\frac{x&amp;plus;2}{x&amp;plus;2})\\&amp;space;&amp;=&amp;\frac{x^2-7x&amp;plus;10}{x^2-4}-\frac{7x&amp;plus;14}{x^2-4}\\&amp;space;&amp;=&amp;\frac{x^2-14x-4}{x^2-4}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;\frac{x^2-14x-4}{x^2-4}&=&\frac{x^2-4}{x^2-4}&plus;\frac{-14x}{x^2-4}\\&space;&=&1-\frac{14x}{x^2-4}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;\frac{x^2-14x-4}{x^2-4}&amp;=&amp;\frac{x^2-4}{x^2-4}&amp;plus;\frac{-14x}{x^2-4}\\&amp;space;&amp;=&amp;1-\frac{14x}{x^2-4}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;2&=&-a(4-3)^2&plus;5\\&space;-3&=&-1a\\&space;a&=&3&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;2&amp;=&amp;-a(4-3)^2&amp;plus;5\\&amp;space;-3&amp;=&amp;-1a\\&amp;space;a&amp;=&amp;3&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\begin{align*}&space;3(12-x^2)&plus;4x&space;&=&space;32&space;\\&space;-3x^2&plus;4x&plus;4&space;&=&space;0&space;\\&space;3x^2-4x-4&space;&=&space;0&space;\\&space;(3x&plus;2)(x-2)&space;&=&space;0&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;3(12-x^2)&amp;plus;4x&amp;space;&amp;=&amp;space;32&amp;space;\\&amp;space;-3x^2&amp;plus;4x&amp;plus;4&amp;space;&amp;=&amp;space;0&amp;space;\\&amp;space;3x^2-4x-4&amp;space;&amp;=&amp;space;0&amp;space;\\&amp;space;(3x&amp;plus;2)(x-2)&amp;space;&amp;=&amp;space;0&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;x^2-6x&plus;y^2&plus;12y&plus;44&space;&=&space;0&space;\\&space;(x^2-6x&plus;9)-9&plus;(y^2&plus;12y&plus;36)-36&space;&plus;44&space;&=&space;0&space;\\&space;(x-3)^2&space;&plus;&space;(y&plus;6)^2&space;-&space;1&space;&=&space;0&space;\\&space;(x-3)^2&space;&plus;&space;(y&plus;6)^2&space;&=&space;1&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;x^2-6x&amp;plus;y^2&amp;plus;12y&amp;plus;44&amp;space;&amp;=&amp;space;0&amp;space;\\&amp;space;(x^2-6x&amp;plus;9)-9&amp;plus;(y^2&amp;plus;12y&amp;plus;36)-36&amp;space;&amp;plus;44&amp;space;&amp;=&amp;space;0&amp;space;\\&amp;space;(x-3)^2&amp;space;&amp;plus;&amp;space;(y&amp;plus;6)^2&amp;space;-&amp;space;1&amp;space;&amp;=&amp;space;0&amp;space;\\&amp;space;(x-3)^2&amp;space;&amp;plus;&amp;space;(y&amp;plus;6)^2&amp;space;&amp;=&amp;space;1&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;50\mathrm{J}&=&S(1\mathrm{g})(100\mathrm{C}-50\mathrm{C})\\&space;S&=&1\frac{\mathrm{J}}{g\cdot&space;\mathrm{C}}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;50\mathrm{J}&amp;=&amp;S(1\mathrm{g})(100\mathrm{C}-50\mathrm{C})\\&amp;space;S&amp;=&amp;1\frac{\mathrm{J}}{g\cdot&amp;space;\mathrm{C}}&amp;space;\end{array} https://www.ivyglobal.ca/study/explanations/643/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?\begin{array}{rcl}&space;0.75k&=&12.25-3.25\\&space;k&=&9\times\frac{4}{3}\\&space;&=&12\mathrm{\;kilometers}&space;\end{array} https://latex.codecogs.com/gif.latex?\begin{array}{rcl}&amp;space;0.75k&amp;=&amp;12.25-3.25\\&amp;space;k&amp;=&amp;9\times\frac{4}{3}\\&amp;space;&amp;=&amp;12\mathrm{\;kilometers}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\frac{20+21+28+28+18+31+22+24}{8}=24 https://latex.codecogs.com/gif.latex?\inline&amp;space;\frac{20+21+28+28+18+31+22+24}{8}=24 https://latex.codecogs.com/gif.latex?\inline&space;(\frac{24}{40})(200)=120 https://latex.codecogs.com/gif.latex?\inline&amp;space;(\frac{24}{40})(200)=120 https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;5&=&\frac{1}{4}(8)&plus;b\\&space;b&=&5-2\\&space;b&=&3&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;5&amp;=&amp;\frac{1}{4}(8)&amp;plus;b\\&amp;space;b&amp;=&amp;5-2\\&amp;space;b&amp;=&amp;3&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;\frac{\mathrm{height}}{\mathrm{base\;&space;length}}=\frac{40}{b}&=&\frac{4}{1}\\&space;40\times1&=&4b\\&space;b&=&10\mathrm{\;centimeters}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;\frac{\mathrm{height}}{\mathrm{base\;&amp;space;length}}=\frac{40}{b}&amp;=&amp;\frac{4}{1}\\&amp;space;40\times1&amp;=&amp;4b\\&amp;space;b&amp;=&amp;10\mathrm{\;centimeters}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\frac{0-(-6)}{4-0}=\frac{6}{4}=\frac{3}{2} https://latex.codecogs.com/gif.latex?\inline&amp;space;\frac{0-(-6)}{4-0}=\frac{6}{4}=\frac{3}{2} https://latex.codecogs.com/gif.latex?\inline&space;8\frac{\mathrm{words}}{\mathrm{minute}}\times60\frac{\mathrm{minutes}}{\mathrm{hour}}\times2\mathrm{\;hours}=960\mathrm{\;words} https://latex.codecogs.com/gif.latex?\inline&amp;space;8\frac{\mathrm{words}}{\mathrm{minute}}\times60\frac{\mathrm{minutes}}{\mathrm{hour}}\times2\mathrm{\;hours}=960\mathrm{\;words} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;\frac{x}{5&plus;10}&=&\frac{4}{10}\\&space;10x&=&4\times15\\&space;x&=&\frac{60}{10}=6&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;\frac{x}{5&amp;plus;10}&amp;=&amp;\frac{4}{10}\\&amp;space;10x&amp;=&amp;4\times15\\&amp;space;x&amp;=&amp;\frac{60}{10}=6&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\frac{a}{16}=b^2 https://latex.codecogs.com/gif.latex?\inline&amp;space;\frac{a}{16}=b^2 https://latex.codecogs.com/gif.latex?\inline&space;\pm\frac{\sqrt{a}}{\sqrt{16}}=b https://latex.codecogs.com/gif.latex?\inline&amp;space;\pm\frac{\sqrt{a}}{\sqrt{16}}=b https://latex.codecogs.com/gif.latex?\inline&space;\sqrt{16}=4,\;b=\pm\frac{\sqrt{a}}{4} https://latex.codecogs.com/gif.latex?\inline&amp;space;\sqrt{16}=4,\;b=\pm\frac{\sqrt{a}}{4} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;3^x\times9^y&=&243\\&space;3^x\times(3^2)^y&=&3^5\\&space;3^{x&plus;2y}&=&3^5\\&space;x&plus;2y&=&5&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;3^x\times9^y&amp;=&amp;243\\&amp;space;3^x\times(3^2)^y&amp;=&amp;3^5\\&amp;space;3^{x&amp;plus;2y}&amp;=&amp;3^5\\&amp;space;x&amp;plus;2y&amp;=&amp;5&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;\sqrt{3k^2&plus;9}-6&=&0\\&space;3k^2&plus;9-36&=&0\\&space;3k^2&=&27\\&space;k&=&\pm\sqrt{9}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;\sqrt{3k^2&amp;plus;9}-6&amp;=&amp;0\\&amp;space;3k^2&amp;plus;9-36&amp;=&amp;0\\&amp;space;3k^2&amp;=&amp;27\\&amp;space;k&amp;=&amp;\pm\sqrt{9}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;\frac{4((4x-13)-6)}{6}&=&\frac{3x+2}{3}\\&space;12(4x-19)&=&6(3x+2)\\&space;2(4x-19)&=&3x+2\\&space;8x-3x&=&38+2\\&space;5x&=&40\\&space;x&=&8&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;\frac{4((4x-13)-6)}{6}&amp;=&amp;\frac{3x+2}{3}\\&amp;space;12(4x-19)&amp;=&amp;6(3x+2)\\&amp;space;2(4x-19)&amp;=&amp;3x+2\\&amp;space;8x-3x&amp;=&amp;38+2\\&amp;space;5x&amp;=&amp;40\\&amp;space;x&amp;=&amp;8&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;2y&=&4(8)-13\\&space;y&=&\frac{19}{2}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;2y&amp;=&amp;4(8)-13\\&amp;space;y&amp;=&amp;\frac{19}{2}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;\sqrt{31x&plus;8}&=&2x\\&space;31x&plus;8&=&4x^2\\&space;4x^2-31x-8&=&0\\&space;4x^2-32x&plus;x-8&=&0\\&space;4x(x-8)&plus;1(x-8)&=&0\\&space;(4x&plus;1)(x-8)&=&0\\&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;\sqrt{31x&amp;plus;8}&amp;=&amp;2x\\&amp;space;31x&amp;plus;8&amp;=&amp;4x^2\\&amp;space;4x^2-31x-8&amp;=&amp;0\\&amp;space;4x^2-32x&amp;plus;x-8&amp;=&amp;0\\&amp;space;4x(x-8)&amp;plus;1(x-8)&amp;=&amp;0\\&amp;space;(4x&amp;plus;1)(x-8)&amp;=&amp;0\\&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\frac{-b\pm\sqrt{b^2-4ac}}{2a}=-\frac{b}{2a} https://latex.codecogs.com/gif.latex?\inline&amp;space;\frac{-b\pm\sqrt{b^2-4ac}}{2a}=-\frac{b}{2a} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;b^2-4ac&=&0\\&space;b&=&\pm\sqrt{4ac}&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;b^2-4ac&amp;=&amp;0\\&amp;space;b&amp;=&amp;\pm\sqrt{4ac}&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\frac{360\mathrm{km}}{\frac{80\mathrm{km}}{1\mathrm{h}}} https://latex.codecogs.com/gif.latex?\inline&amp;space;\frac{360\mathrm{km}}{\frac{80\mathrm{km}}{1\mathrm{h}}} https://latex.codecogs.com/gif.latex?\inline&space;6.5\mathrm{ft}\times\frac{12\mathrm{in}}{1\mathrm{ft}}\times\frac{2.5\mathrm{cm}}{1\mathrm{in}}=195\mathrm{cm} https://latex.codecogs.com/gif.latex?\inline&amp;space;6.5\mathrm{ft}\times\frac{12\mathrm{in}}{1\mathrm{ft}}\times\frac{2.5\mathrm{cm}}{1\mathrm{in}}=195\mathrm{cm} https://latex.codecogs.com/gif.latex?\inline&space;\begin{array}{rcl}&space;x^2+2x+1-1+y^2-8y+16-16+8&=&0\\&space;(x+1)^2+(y-4)^2-1-16+8&=&0\\&space;(x+1)^2+(y-4)^2&=&9&space;\end{array} https://latex.codecogs.com/gif.latex?\inline&amp;space;\begin{array}{rcl}&amp;space;x^2+2x+1-1+y^2-8y+16-16+8&amp;=&amp;0\\&amp;space;(x+1)^2+(y-4)^2-1-16+8&amp;=&amp;0\\&amp;space;(x+1)^2+(y-4)^2&amp;=&amp;9&amp;space;\end{array} https://latex.codecogs.com/gif.latex?\inline&space;\frac{4.5-2.5}{2.5}\times100\%=0.8\times100\%=80\% https://latex.codecogs.com/gif.latex?\inline&amp;space;\frac{4.5-2.5}{2.5}\times100\%=0.8\times100\%=80\% https://www.ivyglobal.ca/study/explanations/651/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?\frac{8}{1.5}&space;=&space;\frac{p}{6} https://latex.codecogs.com/gif.latex?\frac{8}{1.5}&amp;space;=&amp;space;\frac{p}{6} https://latex.codecogs.com/gif.latex?\begin{align*}&space;x&space;&=&space;2(x-2)+4\\&space;x-2x&=-4+4\\&space;-x&=0&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;x&amp;space;&amp;=&amp;space;2(x-2)+4\\&amp;space;x-2x&amp;=-4+4\\&amp;space;-x&amp;=0&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;\frac{t-1}{3}&space;&=&space;\frac{2t-6}{4}\\&space;4t-4&=6t-18\\&space;14&space;&=2t\\&space;t&=7&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;\frac{t-1}{3}&amp;space;&amp;=&amp;space;\frac{2t-6}{4}\\&amp;space;4t-4&amp;=6t-18\\&amp;space;14&amp;space;&amp;=2t\\&amp;space;t&amp;=7&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\frac{(y_2&space;-&space;y_1)}{(x_2&space;-&space;x_1)}&space;=&space;\frac{(-3&space;-&space;0)}{(0&space;-&space;2)}&space;=&space;\frac32 https://latex.codecogs.com/gif.latex?\frac{(y_2&amp;space;-&amp;space;y_1)}{(x_2&amp;space;-&amp;space;x_1)}&amp;space;=&amp;space;\frac{(-3&amp;space;-&amp;space;0)}{(0&amp;space;-&amp;space;2)}&amp;space;=&amp;space;\frac32 https://latex.codecogs.com/gif.latex?\frac{(x&space;&plus;&space;2x&space;&plus;&space;0.5x&space;&plus;&space;x&space;&plus;&space;3.5x)}{5}&space;=&space;\frac{8x}{5} https://latex.codecogs.com/gif.latex?\frac{(x&amp;space;&amp;plus;&amp;space;2x&amp;space;&amp;plus;&amp;space;0.5x&amp;space;&amp;plus;&amp;space;x&amp;space;&amp;plus;&amp;space;3.5x)}{5}&amp;space;=&amp;space;\frac{8x}{5} https://latex.codecogs.com/gif.latex?\begin{align*}&space;\frac{j+n}{k}&space;&=&space;\frac13\\&space;\frac{925+n}{5,550}&=\frac13\\&space;n&space;&=&space;\left(&space;\frac{5,550}{3}\right)-925\\&space;n&=&space;925&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;\frac{j+n}{k}&amp;space;&amp;=&amp;space;\frac13\\&amp;space;\frac{925+n}{5,550}&amp;=\frac13\\&amp;space;n&amp;space;&amp;=&amp;space;\left(&amp;space;\frac{5,550}{3}\right)-925\\&amp;space;n&amp;=&amp;space;925&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;\frac{n}{j&plus;n}&space;&=&space;\frac{x}{100}&space;\\&space;\frac{925}{925&plus;925}&space;&=&space;\frac{x}{100}&space;\\&space;\frac{1}{2}&space;&=&space;\frac{x}{100}&space;\\&space;x&space;&=&space;50&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;\frac{n}{j&amp;plus;n}&amp;space;&amp;=&amp;space;\frac{x}{100}&amp;space;\\&amp;space;\frac{925}{925&amp;plus;925}&amp;space;&amp;=&amp;space;\frac{x}{100}&amp;space;\\&amp;space;\frac{1}{2}&amp;space;&amp;=&amp;space;\frac{x}{100}&amp;space;\\&amp;space;x&amp;space;&amp;=&amp;space;50&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\frac{s}{b}=\frac31 https://latex.codecogs.com/gif.latex?\frac{s}{b}=\frac31 https://latex.codecogs.com/gif.latex?\begin{align*}&space;s&space;+&space;\left(\frac{s}{3}\right)&space;&=&space;w&space;\\\frac43s&space;&=w\\&space;s&=\frac34&space;w&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;s&amp;space;+&amp;space;\left(\frac{s}{3}\right)&amp;space;&amp;=&amp;space;w&amp;space;\\\frac43s&amp;space;&amp;=w\\&amp;space;s&amp;=\frac34&amp;space;w&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;8^{3x-1}\times4^{3x-21}&=1&space;\\&space;2^{3\times(3x-1)}\times&space;2^{2\times(3x-21)}&=2^0&space;\\&space;(9x-3)+(6x-42)&=0\\&space;15x-45&=0\\15x&=45\\x&=3&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;8^{3x-1}\times4^{3x-21}&amp;=1&amp;space;\\&amp;space;2^{3\times(3x-1)}\times&amp;space;2^{2\times(3x-21)}&amp;=2^0&amp;space;\\&amp;space;(9x-3)+(6x-42)&amp;=0\\&amp;space;15x-45&amp;=0\\15x&amp;=45\\x&amp;=3&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;\text{Syringe}&\text{&space;A&space;}&space;&\text{&space;Syringe}&\text{&space;B}&space;\\&space;30\times&space;P&space;&=&space;780&space;&&space;30\times&space;P&space;&=&space;624\\&space;P&space;&=&space;26&space;&&space;P&space;&=&space;20.8\\&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;\text{Syringe}&amp;\text{&amp;space;A&amp;space;}&amp;space;&amp;\text{&amp;space;Syringe}&amp;\text{&amp;space;B}&amp;space;\\&amp;space;30\times&amp;space;P&amp;space;&amp;=&amp;space;780&amp;space;&amp;&amp;space;30\times&amp;space;P&amp;space;&amp;=&amp;space;624\\&amp;space;P&amp;space;&amp;=&amp;space;26&amp;space;&amp;&amp;space;P&amp;space;&amp;=&amp;space;20.8\\&amp;space;\end{align*} https://www.ivyglobal.ca/study/explanations/654/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?\begin{align*}&space;8x&plus;y&space;&=&space;2y&plus;4x&space;\\&space;4x&space;&=&space;y&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;8x&amp;plus;y&amp;space;&amp;=&amp;space;2y&amp;plus;4x&amp;space;\\&amp;space;4x&amp;space;&amp;=&amp;space;y&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;2(4x)&plus;4x&space;&=&space;36&space;\\&space;12x&space;&=&space;36&space;\\&space;x&space;&=&space;3&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;2(4x)&amp;plus;4x&amp;space;&amp;=&amp;space;36&amp;space;\\&amp;space;12x&amp;space;&amp;=&amp;space;36&amp;space;\\&amp;space;x&amp;space;&amp;=&amp;space;3&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?-\frac{28x^2}{ax}+\frac{20x}{ax}+\frac{19}{ax}&space;=&space;-\frac{28}{a}x&space;+&space;\frac{20}{a}&space;+&space;\frac{19}{ax} https://latex.codecogs.com/gif.latex?-\frac{28x^2}{ax}+\frac{20x}{ax}+\frac{19}{ax}&amp;space;=&amp;space;-\frac{28}{a}x&amp;space;+&amp;space;\frac{20}{a}&amp;space;+&amp;space;\frac{19}{ax} https://latex.codecogs.com/gif.latex?\begin{align*}&space;x-(16-x)&space;&=-2&space;\\&space;x&plus;x-16&space;&=-2&space;\\&space;2x&space;&=14&space;\\&space;x&space;&=7&space;\\&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;x-(16-x)&amp;space;&amp;=-2&amp;space;\\&amp;space;x&amp;plus;x-16&amp;space;&amp;=-2&amp;space;\\&amp;space;2x&amp;space;&amp;=14&amp;space;\\&amp;space;x&amp;space;&amp;=7&amp;space;\\&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;3x-1&space;&\leq&space;2x&space;\\&space;3x-2x&space;&\leq&space;1&space;\\&space;x&space;&\leq&space;1&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;3x-1&amp;space;&amp;\leq&amp;space;2x&amp;space;\\&amp;space;3x-2x&amp;space;&amp;\leq&amp;space;1&amp;space;\\&amp;space;x&amp;space;&amp;\leq&amp;space;1&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;3x-1&space;&\geq&space;-2x&space;\\&space;3x+2x&space;&\geq&space;1&space;\\&space;5x&space;&\geq&space;1&space;\\&space;x&space;&\geq&space;\frac{1}{5}&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;3x-1&amp;space;&amp;\geq&amp;space;-2x&amp;space;\\&amp;space;3x+2x&amp;space;&amp;\geq&amp;space;1&amp;space;\\&amp;space;5x&amp;space;&amp;\geq&amp;space;1&amp;space;\\&amp;space;x&amp;space;&amp;\geq&amp;space;\frac{1}{5}&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\frac{1-5}{a-1}=-\frac{2}{3} https://latex.codecogs.com/gif.latex?\begin{align*}&space;(x&plus;\frac{9}{x})^2&space;&=&space;(-6)^2&space;\\&space;x^2&space;&plus;&space;2(x)(\frac{9}{x})&space;&plus;&space;\frac{81}{x^2}&space;&=&space;36&space;\\&space;x^2&space;&plus;&space;18&space;&plus;&space;\frac{81}{x^2}&space;&=&space;36&space;\\&space;x^2&space;&plus;&space;\frac{81}{x^2}&space;&=&space;18&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;(x&amp;plus;\frac{9}{x})^2&amp;space;&amp;=&amp;space;(-6)^2&amp;space;\\&amp;space;x^2&amp;space;&amp;plus;&amp;space;2(x)(\frac{9}{x})&amp;space;&amp;plus;&amp;space;\frac{81}{x^2}&amp;space;&amp;=&amp;space;36&amp;space;\\&amp;space;x^2&amp;space;&amp;plus;&amp;space;18&amp;space;&amp;plus;&amp;space;\frac{81}{x^2}&amp;space;&amp;=&amp;space;36&amp;space;\\&amp;space;x^2&amp;space;&amp;plus;&amp;space;\frac{81}{x^2}&amp;space;&amp;=&amp;space;18&amp;space;\end{align*} https://www.ivyglobal.ca/study/explanations/663/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?\inline&space;\frac{6x}{y}=6\frac{x}{y} https://latex.codecogs.com/gif.latex?\inline&space;\frac{x}{y}=4 https://latex.codecogs.com/gif.latex?\inline&space;6(\frac{x}{y})=6(4)=24 https://latex.codecogs.com/gif.latex?\begin{align*}&space;6x+2&space;&=&space;x^2+5x-4&space;\\&space;x^2-x-6&space;&=&space;0&space;\\&space;(x-3)(x+2)&space;&=&space;0&space;\\&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;6x+2&amp;space;&amp;=&amp;space;x^2+5x-4&amp;space;\\&amp;space;x^2-x-6&amp;space;&amp;=&amp;space;0&amp;space;\\&amp;space;(x-3)(x+2)&amp;space;&amp;=&amp;space;0&amp;space;\\&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&space;3(x+5)+7&space;&=22&space;\\&space;3x+15+7&space;&=22&space;\\&space;3x+22&space;&=&space;22&space;\\&space;3x&space;&=&space;0&space;\\&space;x&space;&=&space;0&space;\end{align*} https://latex.codecogs.com/gif.latex?\begin{align*}&amp;space;3(x+5)+7&amp;space;&amp;=22&amp;space;\\&amp;space;3x+15+7&amp;space;&amp;=22&amp;space;\\&amp;space;3x+22&amp;space;&amp;=&amp;space;22&amp;space;\\&amp;space;3x&amp;space;&amp;=&amp;space;0&amp;space;\\&amp;space;x&amp;space;&amp;=&amp;space;0&amp;space;\end{align*} https://latex.codecogs.com/gif.latex?\inline&space;m=\frac{y_1 - y_2}{x_1 - x_2} https://latex.codecogs.com/gif.latex?\inline&space;\frac{6-2}{3-0}=\frac{4}{3} https://latex.codecogs.com/gif.latex?\inline&space;m=\frac{4}{3} https://latex.codecogs.com/gif.latex?\inline&space;f(x)=\frac{4}{3}x + 2 https://latex.codecogs.com/gif.latex?\frac{80-40}{400-200}=0.2 https://latex.codecogs.com/gif.latex?\frac{4-2}{6-2}=\frac{1}{2} https://latex.codecogs.com/gif.latex?\inline&space;\frac{1+1+2+4+4+6}{6}=3 https://latex.codecogs.com/gif.latex?\inline&space;\frac{2+2+3+3+5}{5}=3 https://latex.codecogs.com/gif.latex?\frac{8}{100}=\frac{56}{x} https://latex.codecogs.com/gif.latex?y=\frac{x}{10}-\frac{1}{2} https://latex.codecogs.com/gif.latex?\frac{2x+8}{3}=\frac{x}{10}-\frac{1}{2} https://latex.codecogs.com/gif.latex?\inline&space;\frac{413545}{301231207} https://latex.codecogs.com/gif.latex?\inline&space;\frac{182911}{287625193} https://latex.codecogs.com/gif.latex?\inline&space;\frac{173985}{20798}=8.365 https://latex.codecogs.com/gif.latex?\inline&space;\frac{413525}{40687}=10.164 https://latex.codecogs.com/gif.latex?\inline&space;\frac{10.164}{8.365} https://latex.codecogs.com/gif.latex?\frac{AC}{20\pi}=\frac{100\degree}{360\degree} https://latex.codecogs.com/gif.latex?\frac{50\pi}{9} https://latex.codecogs.com/gif.latex?\frac{f(3)}{g(f(0))} https://latex.codecogs.com/gif.latex?3\sqrt{m} = \sqrt{162} https://www.ivyglobal.ca/study/explanations/73/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/74/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?4^{3x&space;-21} https://latex.codecogs.com/gif.latex?4^{3x&amp;space;-21} https://latex.codecogs.com/gif.latex?(8^{3x&space;-1})(4^{3x-21})=&space;1 https://latex.codecogs.com/gif.latex?(8^{3x&amp;space;-1})(4^{3x-21})=&amp;space;1 https://latex.codecogs.com/gif.latex?((2^{3})^{3x-1})((2^{2})^{^{3x-21}})&space;=&space;(2^{0}) https://latex.codecogs.com/gif.latex?((2^{3})^{3x-1})((2^{2})^{^{3x-21}})&amp;space;=&amp;space;(2^{0}) https://latex.codecogs.com/gif.latex?(2^{9x-3})(2^{^{6x-42}}) https://latex.codecogs.com/gif.latex?(2^{9x-3})(2^{^{6x-42}}) https://latex.codecogs.com/gif.latex?2^{15x-45} https://latex.codecogs.com/gif.latex?2^{15x-45} https://www.ivyglobal.ca/study/explanations/76/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/764/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/765/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/768/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/77/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?x&space;=&space;\frac{-(4)\pm&space;\sqrt{(-4)^{^{2}}-&space;4(1)(6)}}{2(1)} https://latex.codecogs.com/gif.latex?x&amp;space;=&amp;space;\frac{-(4)\pm&amp;space;\sqrt{(-4)^{^{2}}-&amp;space;4(1)(6)}}{2(1)} https://latex.codecogs.com/gif.latex?(\sqrt{3}-\sqrt{2})(\sqrt{3}&plus;\sqrt{2}, https://latex.codecogs.com/gif.latex?(\sqrt{3}-\sqrt{2})(\sqrt{3}&amp;plus;\sqrt{2}, https://latex.codecogs.com/gif.latex?3&space;-&space;\sqrt{3}\sqrt{2}&space;&plus;&space;\sqrt{3}\sqrt{2}&space;-&space;2&space;=1. https://latex.codecogs.com/gif.latex?3&amp;space;-&amp;space;\sqrt{3}\sqrt{2}&amp;space;&amp;plus;&amp;space;\sqrt{3}\sqrt{2}&amp;space;-&amp;space;2&amp;space;=1. https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\leq https://latex.codecogs.com/gif.latex?\frac{y^{_{2}}-&space;y^{_{1}}}{x_{2}&space;-&space;x&space;_{1}} https://latex.codecogs.com/gif.latex?\frac{y^{_{2}}-&amp;space;y^{_{1}}}{x_{2}&amp;space;-&amp;space;x&amp;space;_{1}} https://latex.codecogs.com/gif.latex?({x_{2}&space;-&space;x&space;_{1}})(y_{2}-y_{1}) https://latex.codecogs.com/gif.latex?({x_{2}&amp;space;-&amp;space;x&amp;space;_{1}})(y_{2}-y_{1}) https://www.ivyglobal.ca/study/explanations/78/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/88/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/89/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/explanations/90/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://latex.codecogs.com/gif.latex?n^{2} https://latex.codecogs.com/gif.latex?n^{2} https://latex.codecogs.com/gif.latex?n^{2} https://latex.codecogs.com/gif.latex?n^{2} https://latex.codecogs.com/gif.latex?\sqrt{9x^{2}} https://latex.codecogs.com/gif.latex?\sqrt{9x^{2}} https://latex.codecogs.com/gif.latex?i^{8} https://latex.codecogs.com/gif.latex?i^{8} https://latex.codecogs.com/gif.latex?i^{2} https://latex.codecogs.com/gif.latex?i^{2} https://latex.codecogs.com/gif.latex?i^{2} https://latex.codecogs.com/gif.latex?i^{2} https://latex.codecogs.com/gif.latex?i^{2} https://latex.codecogs.com/gif.latex?i^{2} https://latex.codecogs.com/gif.latex?i^{2} https://latex.codecogs.com/gif.latex?i^{2} https://latex.codecogs.com/gif.latex?\pi&space;r^{2}h https://latex.codecogs.com/gif.latex?\pi&amp;space;r^{2}h https://latex.codecogs.com/gif.latex?\pi&space;8^{2}6 https://latex.codecogs.com/gif.latex?\pi&amp;space;8^{2}6 https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?n^{2}(n^{3}&space;-&space;3n^{^{2}}&space;+&space;5)&space;-&space;n(n^{3}&space;-&space;3n^{2}&space;+&space;5) https://latex.codecogs.com/gif.latex?n^{2}(n^{3}&amp;space;-&amp;space;3n^{^{2}}&amp;space;+&amp;space;5)&amp;space;-&amp;space;n(n^{3}&amp;space;-&amp;space;3n^{2}&amp;space;+&amp;space;5) https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?\pi https://latex.codecogs.com/gif.latex?-12^{d} https://latex.codecogs.com/gif.latex?-12^{d} https://latex.codecogs.com/gif.latex?-d^{2} https://latex.codecogs.com/gif.latex?-d^{2} https://latex.codecogs.com/gif.latex?-10^{d} https://latex.codecogs.com/gif.latex?-10^{d} https://latex.codecogs.com/gif.latex?10d^{2} https://latex.codecogs.com/gif.latex?10d^{2} https://latex.codecogs.com/gif.latex?(2d)^{2} https://latex.codecogs.com/gif.latex?(2d)^{2} https://latex.codecogs.com/gif.latex?4d^{2} https://latex.codecogs.com/gif.latex?4d^{2} https://www.ivyglobal.ca/study/fullcatalog/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif /assets/img/books/study3d/new_sat.png /assets/img/books/study3d/sat_6pt.png /assets/img/books/study3d/new_sat_subject_test_lit.png /assets/img/books/study3d/new_sat_subject_test_math.png /assets/img/books/study3d/psat_3pt.png /assets/img/books/study3d/act.png /assets/img/books/study3d/ssat_english.png /assets/img/books/study3d/ssat_math.png /assets/img/books/study3d/ssat_practice.png /assets/img/books/study3d/ssat_quick_review.png /assets/img/books/study3d/isee_english.png /assets/img/books/study3d/isee_math.png /assets/img/books/study3d/isee_practice.png /assets/img/books/study3d/isee_practice_group.png /assets/img/books/study3d/ssat_isee_vocab_group.png https://www.ivyglobal.ca/study/help/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://www.ivyglobal.ca/study/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif https://cdn.shopify.com/s/files/1/0509/2245/5231/products/UltimateSATGuide3.0_470x.png?v=1619538129 /assets/img/books/ivy-g-new-sat-6-pt.png /assets/img/books/act-guide-2.1.png /assets/img/books/study/new_psat.jpg /assets/img/books/study/sat_2hr.jpg /assets/img/study/book_ivyf.jpg /Content/assets/img/Books/study/SAT_6_Subject_Tests_Lit.png /Content/assets/img/Books/study/SAT_Subject_Tests_Online_Lit.png /assets/img/books/ivy-g-new-sat-guide.png /assets/img/books/study/new_sat_test_4tests.jpg /assets/img/books/study/new_sat.jpg https://www.ivyglobal.ca/tech/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif /assets/img/placeholders/icon-tech-flexible.png /assets/img/placeholders/icon-tech-easy.png /assets/img/placeholders/icon-tech-accurate.png /assets/img/placeholders/icon-tech-responsive.png /assets/img/placeholders/cloud-placeholder-3000px.jpg /assets/img/placeholders/next-placeholder-3000px.jpg https://www.ivyglobal.ca/tech/projects/ 2026-05-27T13:49:28+00:00 0.8 https://www.facebook.com/tr?id=1783769501841137&ev=PageView&noscript=1 https://dc.ads.linkedin.com/collect/?pid=603346&fmt=gif