To evaluate the expression [tex]\( 4(x - 3) + 5x - x^2 \)[/tex] for [tex]\( x = 2 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 2 \)[/tex] into the expression:
[tex]\[
4(2 - 3) + 5(2) - (2)^2
\][/tex]
2. Simplify the terms inside the parentheses:
[tex]\[
4(-1) + 5(2) - 4
\][/tex]
3. Perform the multiplications:
[tex]\[
-4 + 10 - 4
\][/tex]
4. Add and subtract the terms sequentially:
[tex]\[
-4 + 10 = 6
\][/tex]
[tex]\[
6 - 4 = 2
\][/tex]
So, the value of the expression [tex]\( 4(x - 3) + 5x - x^2 \)[/tex] when [tex]\( x = 2 \)[/tex] is [tex]\( 2 \)[/tex].
Therefore, the correct answer is:
C. 2
