Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2
He need to earn 48
Inequality : 80-32=x
Answer:
Alfonso will need to work 8 hours. What i did was multiply 8 by 6 which is 48 then subtracted 48 by 144 and got 96 then you divide that by 12 which is 8, and that is how many hours he will have to work.
Step-by-step explanation:
give me the big brain
Answer:
x=12, but if x2 is an exponent, x=1+ the square root of 17.
Step-by-step explanation:
Simplifying
4w2 + 24w = 0
Reorder the terms:
24w + 4w2 = 0
Solving
24w + 4w2 = 0
Solving for variable 'w'.
Factor out the Greatest Common Factor (GCF), '4w'.
4w(6 + w) = 0
Ignore the factor 4.
Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:
Simplifying
w = 0
Solving
w = 0
Move all terms containing w to the left, all other terms to the right.
Simplifying
w = 0
Subproblem 2
Set the factor '(6 + w)' equal to zero and attempt to solve:
Simplifying
6 + w = 0
Solving
6 + w = 0
Move all terms containing w to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + w = 0 + -6
Combine like terms: 6 + -6 = 0
0 + w = 0 + -6
w = 0 + -6
Combine like terms: 0 + -6 = -6
w = -6
Simplifying
w = -6
Solution
w = {0, -6}