Let's evaluate the expression [tex]\( m^2 + 5m - 7 \)[/tex] when [tex]\( m = -2 \)[/tex].
1. First, substitute [tex]\( m = -2 \)[/tex] into the expression:
[tex]\[
(-2)^2 + 5(-2) - 7
\][/tex]
2. Evaluate the square term:
[tex]\[
(-2)^2 = 4
\][/tex]
3. Evaluate the multiplication term:
[tex]\[
5(-2) = -10
\][/tex]
4. Subtract 7 from the sum of the evaluated terms:
[tex]\[
4 + (-10) - 7
\][/tex]
5. Combine the terms:
[tex]\[
4 - 10 = -6
\][/tex]
[tex]\[
-6 - 7 = -13
\][/tex]
So, the value of the expression when [tex]\( m = -2 \)[/tex] is [tex]\( -13 \)[/tex]. Therefore, the correct answer is:
B [tex]\(-13\)[/tex].
