A shoe company is going to close one of its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store:
Store A: 1/2g^2 + 7/2
Store B: 3g^2 - 4/5g + 1/4
Which expression represents the combined inventory of the two stores?
A. 7/2g^2 - 4/5g + 15/3
B. 7/2g^2 - 4/5g + 4/3
C. 7/2g^2 + 4/5g + 15/4
D. 7/2g^2 + 4/5g + 4/3
To find the combined inventory of the two stores, we need to add the inventory from Store A to the inventory from Store B.
Combined Inventory = (1/2)g^2 + (7/2) + (3)g^2 - (4/5)g + (1/4)
Combined Inventory = (1/2 + 3)g^2 + (7/2 - 4/5)g + (1/4)
Combined Inventory = (7/2)g^2 + (7/2 - 4/5)g + (1/4)
Now, find a common denominator for the second term:
Combined Inventory = (7/2)g^2 + (35/10 - 8/10)g + (1/4)
Combined Inventory = (7/2)g^2 + (27/10)g + (1/4)
Therefore, the expression that represents the combined inventory of the two stores is:
B. 7/2g^2 + 27/10g + 1/4