To evaluate the expression [tex]\(3(x-4) + 2x - x^2\)[/tex] for [tex]\(x = 5\)[/tex], follow these steps:
1. Substitute [tex]\(x = 5\)[/tex] into the expression:
[tex]\[
3(5-4) + 2(5) - 5^2
\][/tex]
2. Perform the operations inside the parentheses:
[tex]\[
3(1) + 2(5) - 5^2
\][/tex]
3. Evaluate each term:
[tex]\[
3 \cdot 1 + 2 \cdot 5 - 5^2
\][/tex]
[tex]\[
3 + 10 - 25
\][/tex]
4. Combine the terms by performing the additions and subtractions sequentially:
[tex]\[
3 + 10 = 13
\][/tex]
[tex]\[
13 - 25 = -12
\][/tex]
Thus, the value of the expression [tex]\(3(x-4) + 2x - x^2\)[/tex] when [tex]\(x=5\)[/tex] is [tex]\(-12\)[/tex].
The correct answer is:
A. [tex]\(-12\)[/tex]
