Question

A pool is being filled with a large water hose. The height of the water in a pool is determined by 5g{2} + 3g − 3. Previously, the pool had been filled with a different hose. Then, the height was determined by 6g{2} + 4g − 1. Enter an expression that determines the height of the water in the pool if both hoses are on at the same time. Simplify the expression.

Answer 1

The height of the water in the pool when both hoses are on is represented by the simplified expression 11g^2 + 7g - 4, obtained by adding the individual height expressions for each hose.

Step-by-step explanation:

To determine the height of the water in the pool when both hoses are on at the same time, we need to add the expressions for the heights given by each hose separately: 5g^2 + 3g - 3 from the first hose and 6g^2 + 4g - 1 from the second hose. The resulting expression after summing these two expressions will give us the total height of the water.

To find the combined height, add the like terms:
(5g^2 + 3g - 3) + (6g^2 + 4g - 1) = 5g^2 + 6g^2 + 3g + 4g - 3 - 1

= 11g^2 + 7g - 4.

This simplified expression, 11g^2 + 7g - 4, represents the height of the water when both hoses are running concurrently.

Answer 2

the answer ir 420, which gives 20