Question

select the correct answer.
what is the value of this expression when w = -5?
w² + 3w - 11

a. -51
b. -36
c. -16
d. -1

Explanation:

Step1: Substitute \( w = -5 \) into the expression

Substitute \( w = -5 \) into \( w^2 + 3w - 11 \), we get \( (-5)^2 + 3\times(-5) - 11 \).

Step2: Calculate each term

First, calculate \( (-5)^2 = 25 \), then \( 3\times(-5) = -15 \).

Step3: Combine the terms

Now combine the terms: \( 25 + (-15) - 11 = 25 - 15 - 11 \).
Calculate \( 25 - 15 = 10 \), then \( 10 - 11 = -1 \).

Answer:

D. -1