Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 28, 2023

Simplify the expression $\frac{9x}{x-8}$ and evaluate it when $x=0.8$ .

STEP 1

Assumptions1. The expression is $\frac{9x}{x-8}$ . The value of $x$ is $0.8$

STEP 2

We need to substitute the given value of $x$ into the expression. $\frac{9x}{x-8}$

STEP 3

Substitute $x =0.8$ into the expression.
$\frac{9(0.8)}{0.8-8}$

STEP 4

Perform the multiplication in the numerator.
$\frac{7.2}{0.8-8}$

STEP 5

Perform the subtraction in the denominator.
$\frac{7.2}{-7.2}$

STEP 6

Perform the division to simplify the expression.
$\frac{.2}{-.2} = -1$ The expression evaluates to $-1$ when $x =0.8$ .

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