Answer:

Step-by-step explanation:
<u>Given functions</u>:


Solve for p(x) = r(x):

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:
<u>Quadratic Formula</u>

Therefore:

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

Therefore, the solutions are:

Learn more about quadratic equations here:
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Answer
a decrease of 0.2 gallons per second
Explanation
The drain was open for 30 seconds.
The water that ran out for 30 seconds = 20 - 14
= 6 gallons
Rate of decrease = (change in gallons)/(time taken)
= 6/30
= 0.2
The rate of change in the amount of water remaining in the tub per second will be the same as the one that ran out since the outlet is the same.
So the correct answer from the choices is "a decrease of 0.2 gallons per second".
I've attached a photo of the solution below. Hope it helps!
2w + 8 = 13
Subtract 8 from both sides.
2w = 5
Divide both sides by 2.
w = 5/2