Question Evaluate $\frac{3x}{10(-x+4)}$ for $x=3$ and write the answer in simplest form.

Studdy Solution

STEP 1

Assumptions
1. The expression to evaluate is $\frac{3x}{10(-x+4)}$ .
2. We are given the value $x=3$ .
3. We need to substitute the value of $x$ into the expression and simplify.

STEP 2

Substitute the value of $x$ into the expression.
$\frac{3x}{10(-x+4)} = \frac{3(3)}{10(-(3)+4)}$

STEP 3

Perform the multiplication in the numerator.
$\frac{3(3)}{10(-(3)+4)} = \frac{9}{10(-3+4)}$

STEP 4

Simplify the expression inside the parentheses in the denominator.
$\frac{9}{10(-3+4)} = \frac{9}{10(1)}$

STEP 5

Multiply the denominator.
$\frac{9}{10(1)} = \frac{9}{10}$
The expression simplified for $x=3$ is $\frac{9}{10}$ .

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