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.

Question

Mathematics

Ethan Schroeder

8 February, 10:52

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.

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Answers (1)

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Dania Carrillo · Answer 1

The total volume of water in the pool = (6x^3 + 12x^2 - 90x) ft^3

Step-by-step explanation:

The volume of water in the deep end = (2x^3 + 12x2 + 10x) ft^3

The volume of water in the shallow = (4x^3 - 100x) ft^3

The total volume of water in the pool = (2x^3 + 12x2 + 10x) + 4x^3 - 100x)

= (6x^3 + 12x^2 - 90x) ft^3