Solution
f(x) = -20 +14x + 12 and g(x) = 5x - 6.
(f/g)(x) =
(f/g)(x) =
<u>Step 1: </u>Now we have to factorize the numerator.
f(x) = -20x^2 + 14x + 12
Factor out -2, we get
= -2 (10x^2 - 7x - 6)
Now we can factorize 10x^2 - 7x - 6
f(x) = -2(2x + 1) (5x - 6)
<u>Step 2: </u>Plug in the factors
(f/g)(x) =
<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get
(f/g)(x) = -2(2x +1) = -4x -2
Since -4x -2 is linear expression, the domain is all the real numbers.
Therefore, the answer is –4x – 2; all real numbers
Thank you :)
Answer:
There are <u>20,000 milligrams</u> chlorine in the pool.
Step-by-step explanation:
Given:
The chlorine per liter of water in the pool is 2.5 milligrams.
The volume of water in the swimming pool is 8000 gallons.
Now, to find the quantity of chlorine in the pool.
Let the quantity of chlorine be
The gallons of water in the swimming pool = 8000.
The milligrams of chlorine per liter of water in the pool = 2.5.
According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.
So, 2.5 mg of chlorine is equivalent to 1 liter.
Thus, is equivalent to
Now, to get the quantity of chlorine by using cross multiplication method:
<em>By cross multiplying we get:</em>
Therefore, there are 20,000 milligram chlorine in the pool.