It takes an older pump twice as long to drain a certain pool as it does a newer pump. Working together, it takes the two pumps hours to drain the pool. How long will it take the newer pump to drain the pool working alone? Do not do any rounding.

Correct Newer pump   x = 3 hours

Step-by-step explanation:

We will first define the variables, let x be the time of the new pump

and 2 x the time of the old pump.

We set the formula as required for both pumps to work together to

drain the pool in 2 hours.

1/x + 1/2x = 1/2  ⇒

the common denominator for both divisions is 2x and that is why we multiply the first fraction by 2 and get:

2/2x + 1/2x = 1/2 ⇒  3/2x = 1/2  ⇒ 2x = 6  ⇒ x = 3 hours

x = 3 hours

God is with you!!!

answer: h

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1