Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.5 Solve Quadratic Equations by Finding Square Roots - Guided Practice for Example 5 - Page 269: 20


The egg container will fall for about $1.37$ seconds.

Work Step by Step

$\qquad$ ...write height function. $ h=-16t^{2}+h_{0}\qquad$ ...substitute for $h$ and $30$ for $h_{0}$. $ 0=-16t^{2}+30\qquad$ ...add $-30$ to each side. $ 0-30=-16t^{2}+30-30\qquad$ ...simplify. $-30=-16t^{2}\qquad$ ...divide each side by $-16$ $\displaystyle \frac{30}{16}=t^{2}\qquad$ ...take square roots of each side. $\pm\sqrt{\frac{30}{16}}=t\qquad$ ...apply the Quotient Property:$\displaystyle \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ $ t=\displaystyle \pm\frac{\sqrt{30}}{\sqrt{16}}\qquad$ ...simplify.($\sqrt{16}=4$). ...since we are calculating time, we can discard the negative solution. $t=\displaystyle \frac{\sqrt{30}}{4}$ $t\approx 1.37s$
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