Question

evaluate the expression when b = 38 and c = 8.
\\(\frac{b}{2} + 3c^2\\)
simplify your answer as much as possible.

Explanation:

Step1: Substitute \( b = 38 \) and \( c = 8 \) into the expression

First, substitute \( b = 38 \) into \( \frac{b}{2} \), we get \( \frac{38}{2} \). Then substitute \( c = 8 \) into \( 3c^2 \), we get \( 3\times8^2 \). So the expression becomes \( \frac{38}{2}+3\times8^2 \).

Step2: Calculate each part

Calculate \( \frac{38}{2} \), we have \( \frac{38}{2}=19 \). Calculate \( 8^2 = 64 \), then \( 3\times64 = 192 \). Now the expression is \( 19 + 192 \).

Step3: Add the two results

Add \( 19 \) and \( 192 \), \( 19+192 = 211 \).

Answer:

\( 211 \)