Question

I need help. Please explain everything I need to know in order to answer this.

Answer 1

x=-8

Explanation

$f(x)=-\frac{1}{2}x+6$

Step 1

there is a value for x , that when you replace it inthe equation you obtain 10,then

$\begin{gathered} f(x)=-\frac{1}{2}x+6=10 \\ -\frac{1}{2}x+6=10 \end{gathered}$

Step 2

solve for x

$\begin{gathered} \text{isolate x} \\ -\frac{1}{2}x+6=10 \\ \text{subtract 6 in both sides} \\ -\frac{1}{2}x+6-6=10-6 \\ -\frac{1}{2}x=4 \\ \mu ltiply\text{ each side by -2} \\ -\frac{1}{2}x\cdot-2=4\cdot-2 \\ x=-8 \end{gathered}$

so, the answer is x=-8