Question

what is the answer for Rudy's restaurant is going to close one of its locations in the rio grande valley and will combine all of its inventory with another store. these polynomials represent the inventory in each store store a: 3÷2 9÷8x^2-2x store b: 1÷2×+2×^2 which expression represent the combined inventory of the two stores?

Answer 1

ANSWER

$\frac{7}{8}x^2-\frac{3}{2}x+\frac{3}{2}$

EXPLANATION

To find the combined inventory for the two stores, we have to add the polynomials that represent the inventory in each store.

That is:

$\frac{3}{2}-\frac{9}{8}x^2-2x+(\frac{1}{2}x+2x^2)$

Collect like terms and simplify:

$\begin{gathered} -\frac{9}{8}x^2+2x^2-2x+\frac{1}{2}x+\frac{3}{2} \\ \frac{7}{8}x^2-\frac{3}{2}x+\frac{3}{2} \end{gathered}$

The answer is option B.