Answer:

Step-by-step explanation:
Step 1: Define
Difference Quotient: 
f(x) = -x² - 3x + 1
f(x + h) means that x = (x + h)
f(x) is just the normal function
Step 2: Find difference quotient
- <u>Substitute:</u>
![\frac{[-(x+h)^2-3(x+h)+1]-(-x^2-3x+1)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B-%28x%2Bh%29%5E2-3%28x%2Bh%29%2B1%5D-%28-x%5E2-3x%2B1%29%7D%7Bh%7D)
- <u>Expand and Distribute:</u>
![\frac{[-(x^2+2hx+h^2)-3x-3h+1]+x^2+3x-1}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B-%28x%5E2%2B2hx%2Bh%5E2%29-3x-3h%2B1%5D%2Bx%5E2%2B3x-1%7D%7Bh%7D)
- <u>Distribute:</u>

- <u>Combine like terms:</u>

- <u>Factor out </u><em><u>h</u></em><u>:</u>

- <u>Simplify:</u>

Answer:
A. 18.25
Step-by-step explanation:
After you do the multiplications, the problem is
... (56 +90)/8 = 146/8 = 18.25
_____
The division bar is a grouping symbol, equivalent to parentheses around both numerator and denominator. You must evaluate the numerator before you can divide by the denominator, which also must be evaluated before that division.
The closest distance is C. 12 feet
The <em>correct answer</em> is:
C) The quantity of distance measured in feet depends on the quantity of time measured in minutes.
Explanation:
The rate of an airplane's descent would be found using the distance it descends and the amount of time that takes.
In this situation, the amount of time that passes causes the distance the plane descends to change; this means that the distance depends on the time.
815 x 360 = 293,400 gal per second.
293,400 gal ÷ 4 quarts = 73,350 quarts per sec.
I'm fairly certain that's right - someone correct me if I'm mistaken.