Answer:
18
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

here [ a, b ] = [ 1, 5 ]
f(b) = f(5) = 3 × 5² = 75
f(a) = f(1) = 3 × 1² = 3, hence
average rate of change =
=
= 18
Answer:
x = 5
Step-by-step explanation:
By remote exterior angle theorem:

Step-by-step explanation:
x = number of cans.
790 total cans and bottles.
790 - x = number of bottles.
y = weight of the cans and bottles in ounces.
y = 14x + 70×(790 - x) = 14x + 55300 - 70x = 55300 - 56x
Answer:
one solution only
Step-by-step explanation:
16y + 7 = -3y + 10 + 8y
16y + 3y - 8y = 10 - 7
11y = 3
y = 3/11
Answer:
1) (x-6)^2=49
2) C
Step-by-step explanation:
Subtract 12 x and you get
-x^2-12x+13=0
You will be left with, after making a perfect square
(x-6)^2=49
To get rid of the squared/2nd power, add plus or minus to the opposite side and square root both sides. You will be left with
x-6=plus or minus 7
Your answer comes out to the to problem. Setting both to 0, you get -13, and 1. -6 plus 7 is 1, and -6 plus a -7 is -13.