One pipe fills a storage pool in 20 hours. a second pipe fills the same pool in 15 hours. when a third pipe is added and all three are used to fill the pool, it takes only 6 hours. find how long it takes the third pipe to do the job.

We work in rates per hour so we have the equation:-

1/20 + 1/15 + 1/x = 1/6 where x is the time for the third pipe

1/x = 1/6 - 1/15 - 1/20 = 1/20

so x = 20

The answer is 20 hours.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|