Question

a pool is being filled with a large water hose. the height of the water in a pool is determined by 7g^2+3g-4. Previously the pool had been filled with a different hose. then the height was determined by 8g^2+2g-2. Enter an expression that determines the height of the water in the pool if both hoses are on the same time simplify the expression.

Answer 1

If both the hoses are on the same time then the height of the water in the pool is given by the expression 15g^2 + 5g - 6

Explanation:

(7g^2 + 3g - 4) + (8g^2 + 2g - 2)

= (7g^2 + 8g^2) + ( 3g + 2g) + (-4 -2)

with the help of distribution law,

= (7 +8)g^2 + (3 + 2)g - (4 + 2)

= 15g^2 + 5g - 6

Therefore if both the hoses are on the same time then the height of the water in the pool is given by the expression 15g^2 + 5g - 6