Question

what is the value of the expression below when $y = 5$?
$3y^2 + 7y + 2$

Explanation:

Step1: Substitute \( y = 5 \) into the expression

Substitute \( y = 5 \) into \( 3y^2 + 7y + 2 \), we get \( 3\times5^2 + 7\times5 + 2 \).

Step2: Calculate the exponent

First, calculate \( 5^2 = 25 \), so the expression becomes \( 3\times25 + 7\times5 + 2 \).

Step3: Perform the multiplications

Calculate \( 3\times25 = 75 \) and \( 7\times5 = 35 \), then the expression is \( 75 + 35 + 2 \).

Step4: Perform the additions

Add \( 75 + 35 = 110 \), then \( 110 + 2 = 112 \).

Answer:

\( 112 \)