Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Answer:
population mean
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for the volume of a cylinder, is V = π r^2 h. It shows that the diameter is 5. But we need the radius. The radius is half of the diameter. So, 5/2. This gets you 2.5.
The equation is now:
V = π(2.5)^2h
This is the answer.
We can use x to represent the total vacation budget.
x times .19 = 285
(a percentage is really just a decimal)
x = 285/.19
x = 1500
Final Answer: the total vacation budget is $1500
Answer:
True
Step-by-step explanation:
First, we need to recognize that
Now, we can try to solve
Multiply each side by 
As we end up with an answer that cannot be true, we know that there is no solution.
Another method to solve this would be graphing the function 
When graphed, it can be seen that there is an asymptote at x=0 meaning that there is no value for x=0.
