Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - 7.5 Formulas, Applications, and Variation - 7.5 Exercise Set: 32

Answer

$\color{blue}{c+f=\dfrac{g}{d^2}}$

Work Step by Step

Use the rule $\frac{a}{b}=\frac{c}{d}\longrightarrow ad=bc$ to obtain: $$d\cdot d(c+f)=g \\d^2(c+f)=g$$ Divide $d^2$ to both sides to obtain: $$\frac{d^2(c+f)}{d^2}=\frac{g}{d^2} \\\color{blue}{c+f=\frac{g}{d^2}}$$
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