Answer: see below
<u>Step-by-step explanation:</u>
f(x) = x(19 - x)
= 19x - x²
A) f(x+h) = (x + h)[19 - (x + h)]
= (x + h)(19 - x - h)
= 19x - x² - 2xh + 19h - h²
B) f(x+h) - f(x) = (19x - x² - 2xh + 19h - h²) - (19x - x²)
= - 2xh + 19h - h²
= h(-2x + 19 - h)
C) [f(x+h) - f(x)]/h = [h(-2x + 19 - h)]/h
= -2x + 19 - h
As h → 0: = -2x + 19
It equals 3.77952756inches
Answer:
{-infinity, infinity}
no solution
Step-by-step explanation:
|x| +15≥4
Subtract 15 from each side
|x| +15-15≥4-15
|x| ≥-11
This is always true so x can be and real number
{-infinity, infinity}
-2|5x+3| = 8
Divide by -2
-2/-2|5x+3| = 8/-2
|5x+3| = -4
This can never happen because absolute values are zero or greater
no solution
They collected 300 cans in all. I did this by multipying 63 by 100 (6300) then divided it by 21. I hope this helps!