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Answer :
We need to evaluate the function
[tex]$$
f(x) = -5x^2 - x + 20
$$[/tex]
at [tex]$x = 3$[/tex]. Follow these steps:
1. Substitute [tex]$x = 3$[/tex] into the function:
[tex]$$
f(3) = -5(3)^2 - (3) + 20.
$$[/tex]
2. Compute the square:
[tex]$$
3^2 = 9.
$$[/tex]
3. Multiply by [tex]$-5$[/tex]:
[tex]$$
-5 \times 9 = -45.
$$[/tex]
4. Compute the linear term:
[tex]$$
-3.
$$[/tex]
5. Now combine the terms:
[tex]$$
f(3) = -45 - 3 + 20.
$$[/tex]
6. Add the numbers step by step:
[tex]$$
-45 - 3 = -48,
$$[/tex]
and then
[tex]$$
-48 + 20 = -28.
$$[/tex]
Thus, the final answer is
[tex]$$
\boxed{-28}.
$$[/tex]
[tex]$$
f(x) = -5x^2 - x + 20
$$[/tex]
at [tex]$x = 3$[/tex]. Follow these steps:
1. Substitute [tex]$x = 3$[/tex] into the function:
[tex]$$
f(3) = -5(3)^2 - (3) + 20.
$$[/tex]
2. Compute the square:
[tex]$$
3^2 = 9.
$$[/tex]
3. Multiply by [tex]$-5$[/tex]:
[tex]$$
-5 \times 9 = -45.
$$[/tex]
4. Compute the linear term:
[tex]$$
-3.
$$[/tex]
5. Now combine the terms:
[tex]$$
f(3) = -45 - 3 + 20.
$$[/tex]
6. Add the numbers step by step:
[tex]$$
-45 - 3 = -48,
$$[/tex]
and then
[tex]$$
-48 + 20 = -28.
$$[/tex]
Thus, the final answer is
[tex]$$
\boxed{-28}.
$$[/tex]
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