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Evaluate [tex]$3(x-4) + 2x - x^2$[/tex] for [tex]$x=5$[/tex].

A. -12
B. 0
C. 40
D. -4


Sagot :

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]