You know that the polynomial that represents the inventory of Store A is:
[tex]\frac{1}{3}g^2+\frac{5}{2}[/tex]
And this polynomial represents the inventory of Store B:
[tex]2g^2-\frac{3}{4}g+\frac{3}{4}[/tex]
Then, you can set up the following Addition of Polynomials, which represents the combined inventory of Store A and Store B:
[tex](\frac{1}{3}g^2+\frac{5}{2})+(2g^2-\frac{3}{4}g+\frac{3}{4})[/tex]
To simplify the expression, you only need to add the like terms (remember that the like terms have the same variables and the same exponents). Then, you get:
[tex]\begin{gathered} =\frac{1}{3}g^2+\frac{5}{2}+2g^2-\frac{3}{4}g+\frac{3}{4} \\ \\ =\frac{7}{3}g^2-\frac{3}{4}g+\frac{13}{4} \end{gathered}[/tex]
Therefore, the answer is:
[tex]\frac{7}{3}g^2-\frac{3}{4}g+\frac{13}{4}[/tex]
