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Answer:  -3.33

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Explanation:

Everywhere you see an x, replace it with -4. Then apply the order of operations PEMDAS to evaluate.

[tex]f(x) = \frac{-14-x^2}{9}\\\\f(-4) = \frac{-14-(-4)^2}{9}\\\\f(-4) = \frac{-14-16}{9}\\\\f(-4) = \frac{-30}{9}\\\\f(-4) \approx -3.33333333 \\\\f(-4) \approx -3.33 \\\\[/tex]

Answer:

-3.33

Step-by-step explanation:

The question is simply asking you to plug -4 in for x.This turns our equation into:

(-14 - (-4)^2)/9.

Remember, PEMDAS.

First, let's square -4.

-4 * -4 = 16 (A negative times a negative is a positive.)

Next, let's turn the top into a single number.

-14 - 16 = -30

So, now our equation has boiled down to:

-30/9.

Our solution before we round:

-3.333333

Finally, we round it. Keep in mind the hundredths place is two decimal places.

-3.33 (REMEMBER: if the 3rd decimal place is ≥ 5, we would round up, however it isn't so we round down.)

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