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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 229 (page 54)

$\begin{array}{l} Inthefollowingexercise,evaluate. \\ \frac{7}{10} 鈭� w When \\ 鈸� w = \frac{1}{2} 鈸� w = 鈭� \frac{1}{2} \end{array}$

Short Answer

Expert verified

The result of evaluating the expression is

a) $\frac{1}{5}$

b) $\frac{6}{5}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ \frac{7}{10} 鈭� w \\ Wewillevaluatetheexpressionforeachvalueof w . \end{array}$

02

Step 2. Substitute the value of w from part (a)

$\begin{array}{l} At w = \frac{1}{2}, Wehave \\ 鈬� \frac{7}{10} 鈭� (\frac{1}{2}) \\ = \frac{7 脳 2 鈭� 1 脳 10}{10 脳 2} \\ = \frac{14 鈭� 10}{20} \\ = \frac{4}{20} \\ = \frac{1}{5} \end{array}$

03

Step 3. Substitute the value of w from part (b)

$\begin{array}{l} At w = 鈭� \frac{1}{2}, Wehave \\ 鈬� \frac{7}{10} 鈭� (鈭� \frac{1}{2}) \\ \frac{7}{10} + \frac{1}{2} \\ = \frac{7 脳 2 + 1 脳 10}{10 脳 2} \\ = \frac{14 + 10}{20} \\ = \frac{24}{20} \\ = \frac{6 脳 4}{5 脳 4} \\ = \frac{6}{5} \end{array}$

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