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

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

Sagot :

GinnyAnswer
Sure, let's evaluate the expression [tex]\(3(x-4) + 2x - x^2\)[/tex] for [tex]\(x = 5\)[/tex].

Step-by-Step Solution:

1. Substitute [tex]\(x = 5\)[/tex] into the expression:
[tex]\[ 3(5-4) + 2(5) - 5^2 \][/tex]

2. Simplify inside the parentheses:
[tex]\[ 3(1) + 2(5) - 5^2 \][/tex]

3. Multiply:
[tex]\[ 3 \cdot 1 + 2 \cdot 5 - 5^2 \][/tex]

This simplifies to:
[tex]\[ 3 + 10 - 25 \][/tex]

4. Add and subtract the remaining terms:
[tex]\[ 3 + 10 - 25 = 13 - 25 = -12 \][/tex]

Therefore, the value of the expression [tex]\(3(x-4) + 2x - x^2\)[/tex] when [tex]\(x = 5\)[/tex] is [tex]\(-12\)[/tex].

Answer: A. [tex]\(-12\)[/tex]
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