Chapter 1: Q8. (page 51)

Evaluate each expression if $a = - 9, b = \frac{2}{3}, c = 8,$ and $d = - 6$ .
8. $\frac{a}{b^{2}} + c$

Short Answer

Expert verified

The value of $\frac{a}{b^{2}} + c$ is $- 12.25$ .

Step by step solution

– Description of step.

Substitute $\frac{2}{3}$ for b into $b^{2}$ .

${(\frac{2}{3})}^{2} = \frac{4}{9}$

– Description of step.

Substitute $\frac{4}{9}$ for $b^{2}$ , $- 9$ for a and 8 for c.

$\frac{- 9}{(\frac{4}{9})} + 8 = \frac{- 81}{4} + 8$

– Description of step.

Simplify the expression obtained in step 2.

\begin{matrix} \frac{- 81 + 32}{4} = \frac{- 49}{4} \\ = - 12.25 \end{matrix}

Therefore, the value of $\frac{a}{b^{2}} + c$ is $- 12.25$ .

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Evaluate each expression if $a = - 9, b = \frac{2}{3}, c = 8,$ and $d = - 6$ .
8. $\frac{a}{b^{2}} + c$

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

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Evaluate each expression if $a = - 9, b = \frac{2}{3}, c = 8,$ and $d = - 6$ .
8. $\frac{a}{b^{2}} + c$