Answer:
11
Step-by-step explanation:
We are given the expression:
[tex]4x+ \frac{1}{3} y^2[/tex]
We know that x=2 and y=3. Therefore, we can substitute 2 for x and 3 for y.
[tex]4(2)+ \frac{1}{3} (3)^2[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, evaluate the exponent.
3^2 = 3*3 = 9
[tex]4(2)+ \frac{1}{3} (9)[/tex]
Next, multiply 4 and 2.
[tex]8+ \frac{1}{3} (9)[/tex]
Multiply 1/3 and 9, or divide 9 by 3.
[tex]8+3[/tex]
Add 8 and 3
[tex]11[/tex]
