Answer: h(x) = 3*x^2 - 7*x + 8
Step-by-step explanation:
The rate of change of a function is equal to the derivate:
remember that a derivate of the form:
k(x) = a*x^n is k'(x) = n*a*x^(n-1)
Then we have:
f(x) = 2*x - 10
f'(x) = 1*2* = 2
g(x) = 16*x - 4
g'(x) = 1*16 = 16
h(x) = 3*x^2 - 7*x + 8
h'(x) = 2*3*x - 1*7 = 6*x - 7
So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)
So c-9 is less than or equal to 20 so c is less than or equal to 29. So the correct answer is c. Hope this helps :)
Answer:

Step-by-step explanation:

First, multiply both sides by -4. You must also change the inequality sign since you are multiplying both sides by a negative number.


Subtract 1 from both sides.


Answer:
465
Step-by-step explanation:
Since we are looking for the the number of combinations to have 2 different flavors in the ice cream, we can use the formula for combination.

Our variables are:
n = 31
k = 2




The number of possible combinations of having 2 different flavors out of 31 different flavors is 465.
Answer:
The gold rush has a big impact on people. Especially since it helped shaped the course of California's development by bringing economic growth.