Answer :
Let's solve for the value of the expression [tex]\( w^2 + 3w - 11 \)[/tex] when [tex]\( w = -5 \)[/tex] by following these steps:
1. Substitute [tex]\( w = -5 \)[/tex] into the expression:
[tex]\[ (-5)^2 + 3(-5) - 11 \][/tex]
2. Calculate each term separately:
- [tex]\( (-5)^2 = 25 \)[/tex]
- [tex]\( 3(-5) = -15 \)[/tex]
- The constant term is [tex]\(-11\)[/tex]
3. Combine these results:
[tex]\[ 25 + (-15) - 11 \][/tex]
4. Perform the arithmetic step-by-step:
[tex]\[ 25 - 15 = 10 \][/tex]
[tex]\[ 10 - 11 = -1 \][/tex]
Therefore, the value of the expression when [tex]\( w = -5 \)[/tex] is [tex]\(-1\)[/tex]. The correct answer is:
[tex]\[ \boxed{-1} \][/tex]
1. Substitute [tex]\( w = -5 \)[/tex] into the expression:
[tex]\[ (-5)^2 + 3(-5) - 11 \][/tex]
2. Calculate each term separately:
- [tex]\( (-5)^2 = 25 \)[/tex]
- [tex]\( 3(-5) = -15 \)[/tex]
- The constant term is [tex]\(-11\)[/tex]
3. Combine these results:
[tex]\[ 25 + (-15) - 11 \][/tex]
4. Perform the arithmetic step-by-step:
[tex]\[ 25 - 15 = 10 \][/tex]
[tex]\[ 10 - 11 = -1 \][/tex]
Therefore, the value of the expression when [tex]\( w = -5 \)[/tex] is [tex]\(-1\)[/tex]. The correct answer is:
[tex]\[ \boxed{-1} \][/tex]
