49.9k views
25 votes
.

A company is closing one of its two stores and will combine all the inventory from both stores. These polynomials represent the inventory in each store:

Store A: 7 + 10r
2
− r

Store B: 5r
2
− 19 − 7r


Which expression represents the combined inventory of the two stores?

2 Answers

4 votes
Can you message me it full out together bc ik how to do it but it looks messy on here
User TinOfBeans
by
4.0k points
12 votes

The combined inventory expression is:
15r^2 - 8r - 12

The combined inventory of both stores can be obtained by simply adding the polynomials representing their individual inventories. Here's how:

Combined Inventory = Inventory of Store A + Inventory of Store B

Substituting the given polynomials:

Combined Inventory =
(7 + 10r^2 - r) + (5r^2 - 19 - 7r)

Now, combine like terms:


10r^2 + 5r^2 = 15r^2

-r - 7r = -8r

7 - 19 = -12

Therefore, the combined inventory expression is:


15r^2 - 8r - 12

User Zzob
by
4.4k points