Sure, let's evaluate the expression [tex]\(\frac{x}{2} + 3z^2\)[/tex] when [tex]\(x = 38\)[/tex] and [tex]\(z = 8\)[/tex].
1. Substitute the values:
- [tex]\(x = 38\)[/tex]
- [tex]\(z = 8\)[/tex]
So the expression becomes:
[tex]\[
\frac{38}{2} + 3 \cdot 8^2
\][/tex]
2. Evaluate the first part:
[tex]\[
\frac{38}{2} = 19
\][/tex]
3. Evaluate the exponent:
[tex]\[
8^2 = 64
\][/tex]
4. Multiply by 3:
[tex]\[
3 \cdot 64 = 192
\][/tex]
5. Add the two results together:
[tex]\[
19 + 192 = 211
\][/tex]
So, the simplified value of the expression [tex]\(\frac{x}{2} + 3z^2\)[/tex] when [tex]\(x = 38\)[/tex] and [tex]\(z = 8\)[/tex] is [tex]\(211\)[/tex].
