Chapter 1: Q. 229 (page 54)

$\begin{array}{l} Inthefollowingexercise,evaluate. \\ \frac{7}{10} - w When \\ ⓐ w = \frac{1}{2} ⓑ w = - \frac{1}{2} \end{array}$

Short Answer

Expert verified

The result of evaluating the expression is

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

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

Step by step solution

Step 1. Given information

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

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

$\begin{array}{l} At w = \frac{1}{2}, Wehave \\ \Rightarrow \frac{7}{10} - (\frac{1}{2}) \\ = \frac{7 \times 2 - 1 \times 10}{10 \times 2} \\ = \frac{14 - 10}{20} \\ = \frac{4}{20} \\ = \frac{1}{5} \end{array}$

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

$\begin{array}{l} At w = - \frac{1}{2}, Wehave \\ \Rightarrow \frac{7}{10} - (- \frac{1}{2}) \\ \frac{7}{10} + \frac{1}{2} \\ = \frac{7 \times 2 + 1 \times 10}{10 \times 2} \\ = \frac{14 + 10}{20} \\ = \frac{24}{20} \\ = \frac{6 \times 4}{5 \times 4} \\ = \frac{6}{5} \end{array}$

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$\begin{array}{l} Inthefollowingexercise,evaluate. \\ \frac{7}{10} - w When \\ ⓐ w = \frac{1}{2} ⓑ w = - \frac{1}{2} \end{array}$

Short Answer

Step by step solution

Step 1. Given information

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

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

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Inthefollowingexercise,evaluate.710−wWhenⓐw=12ⓑw=−12

Short Answer

Step by step solution

Step 1. Given information

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

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

One App. One Place for Learning.

Most popular questions from this chapter

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$\begin{array}{l} Inthefollowingexercise,evaluate. \\ \frac{7}{10} - w When \\ ⓐ w = \frac{1}{2} ⓑ w = - \frac{1}{2} \end{array}$