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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q 542. (page 217)

Solve the formula $h = 48 t + \frac{1}{2} a t^{2}$ for $t$ .

Short Answer

Expert verified

Solution is $t = \frac{- 96 卤 \sqrt{9216 + 8 a h}}{2 a}$ .

Step by step solution

Step 1. Given information

Formula is $h = 48 t + \frac{1}{2} a t^{2}$ .

Step 2. Solve the formula for t.

Formula is $h = 48 t + \frac{1}{2} a t^{2}$ .

Use the quadratic formula role="math" $\frac{- b 卤 \sqrt{b^{2} - 4 a c}}{2 a}$

So,

role="math" localid="1645119487512" $t = \frac{- 96 卤 \sqrt{96^{2} - 4 a (- 2 h)}}{2 a} = \frac{- 96 卤 \sqrt{96^{2} + 8 a h}}{2 a}$

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Solve the formulah=48t+12at2fort.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve the formula for t.

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Solve the formula $h = 48 t + \frac{1}{2} a t^{2}$ for $t$ .