Question

evaluate the expression when y = 4 and z = 3. $8y^{2}+\frac{51}{z}$ simplify your answer as much as possible.

Explanation:

Step1: Substitute \( y = 4 \) and \( z = 3 \) into the expression

First, calculate \( y^2 \) when \( y = 4 \), so \( y^2=4^2 = 16 \). Then substitute into \( 8y^2 \), we get \( 8\times16 \). For the fraction \( \frac{51}{z} \), substitute \( z = 3 \), we get \( \frac{51}{3} \).
So the expression becomes \( 8\times16+\frac{51}{3} \).

Step2: Calculate each part

Calculate \( 8\times16 = 128 \), and \( \frac{51}{3}=17 \).

Step3: Add the results

Add \( 128 \) and \( 17 \), \( 128 + 17=145 \).

Answer:

\( 145 \)