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What is the value of this expression when [tex][tex]$w=-5$[/tex][/tex]?

[tex][tex]$w^2 + 3w - 11$[/tex][/tex]

A. -51
B. -36
C. -16
D. -1

Sagot :

GinnyAnswer
To find the value of the expression [tex]\( w^2 + 3w - 11 \)[/tex] when [tex]\( w = -5 \)[/tex], we will substitute [tex]\(-5\)[/tex] into the expression for [tex]\( w \)[/tex] and simplify step-by-step.

1. Start with the expression:
[tex]\[ w^2 + 3w - 11 \][/tex]

2. Substitute [tex]\( w = -5 \)[/tex] into the expression:
[tex]\[ (-5)^2 + 3(-5) - 11 \][/tex]

3. Compute the square of [tex]\(-5\)[/tex]:
[tex]\[ 25 + 3(-5) - 11 \][/tex]

4. Multiply [tex]\( 3 \)[/tex] by [tex]\(-5\)[/tex]:
[tex]\[ 25 - 15 - 11 \][/tex]

5. Simplify the expression step-by-step. First, add [tex]\( 25 \)[/tex] and [tex]\(-15\)[/tex]:
[tex]\[ 10 - 11 \][/tex]

6. Finally, subtract [tex]\( 11 \)[/tex] from [tex]\( 10 \)[/tex]:
[tex]\[ -1 \][/tex]

So, the value of the expression when [tex]\( w = -5 \)[/tex] is [tex]\(-1\)[/tex]. The correct answer is:
D. -1
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