Question

what us the value of the expression above when ×=2 and y =3 you must show all your work to recieve full credit

Answer 1

Value of a expression

We want to find the value of the following expression:

$4x+\frac{1}{3}y^2$

when x = 2 and y = 3.

We follow the next step by step:

Step 1: replacing x and y values

Step 2: solving the combined operations

Step 1

We replace in the equation x by 2 and y by 3:

$\begin{gathered} 4x+\frac{1}{3}y^2 \\ \downarrow\text{ since x=2 and y=3} \\ 4\cdot2+\frac{1}{3}\cdot3^2 \end{gathered}$

Step 2

We solve the expression we found: first we solve the multiplications:

$\begin{gathered} 4\cdot2+\frac{1}{3}\cdot3^2 \\ \downarrow\text{ since }3^2=9\text{ and }4\cdot2=8 \\ 8+\frac{1}{3}\cdot9 \\ \downarrow\text{ since }\frac{9}{3}=3 \\ 8+3 \end{gathered}$

Then, the addition:

8 + 3 = 11

Answer: 11