Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Select the correct answer.

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
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.