Answer: C
<u>Step-by-step explanation:</u>
f(x) = 2x + 1 ⇒ 2x + 1
<u>- g(x) = -(x² - 7) </u>⇒ <u>-x² + 7 </u>
(f-g)(x) = -x² + 2x + 8
The necessary information's are already given in the question. Based on those information's the answer to the question can be easily determined.
Amount of water recirculated by the pump in 1/5 of an hour = 60 gallons
we already know
1/5 of an hour = (1/5) * 60 minutes
= 12 minutes
Then
Amount of water recirculated by
the pump in 60 minutes = (60/12) * 60 gallons
= 5 * 60 gallons
= 300 gallons
So the amount of water recirculated by the pump per hour is 300 gallons.
Answer:
Step-by-step explanation:
<u>Given:</u>
- Cost price = $16.50
- Mark up rate = 120%
<u>Selling price is:</u>
- $16.50 + 120% =
- $16.50*2.2 =
- $36.30
The <em>correct answer</em> is:
His height is 4.45 standard deviations above the mean.
Explanation:
A z-score is defined as the number of standard deviations a data point is away from the mean.
Since his z-score is positive, this means his height is above the mean.
Since the z-score is 4.45, this is how many standard deviations away from the mean his height is.
<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
