Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.4 - Division of Polynomials - Exercise Set - Page 445: 58

Answer

$ f(x)=80+\frac{800}{x-110}$ $ f(70)=60$ Yes, the answer is the same.

Work Step by Step

The given expression is $(80x-8000)\div(x-110)$ $\begin{matrix} & 80 ​& & \leftarrow &Quotient\\ &-- &-- & \\ x-110) &80x&-8000 & \\ ​& 80x & -8800& \leftarrow &80(x-110) \\ & -- & -- & \leftarrow &subtract \\ & 0 & 800 & \leftarrow & Remainder ​\end{matrix}$ We can write the solution as a function. $\Rightarrow f(x)=80+\frac{800}{x-110}$ Replace $x$ with $70$. $\Rightarrow f(70)=80+\frac{800}{70-110}$ Simplify. $\Rightarrow f(70)=80+\frac{800}{-40}$ $\Rightarrow f(70)=80-20$ $\Rightarrow f(70)=60$ Yes, the answer is the same.
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