Q:

community swimming pool has a deep end and a shallow end. The volume of water in the deep end can be represented by (2x^3 + 12x2 + 10x) ft^3, and the volume of water in the shallow end can be represented by (4x^3 -100x) ft^3. Write an expression that represents the total volume of water in the pool in ft^3.​

Accepted Solution

A:
Answer:The total volume of water in the pool  = ( 6x^3 + 12x^2 - 90x ) ft^3Step-by-step explanation:The volume of water in the deep end = (2x^3 + 12x2 + 10x) ft^3The volume of water in the shallow     =  (4x^3 -100x) ft^3The total volume of water in the pool  = (2x^3 + 12x2 + 10x)  +  4x^3 -100x)                                                                = ( 6x^3 + 12x^2 - 90x ) ft^3