Answer: 9,000,000
Explanation: Using Pemdas, the first thing you do is solve the exponent, so 10^6 is 10 x 10 x 10 x 10 x 10 x 10 which is 1,000,00 and then you do the multiplication which makes the problem equal 9,000,000. Hope this helped!!
Answer: the exponent is 2
Step-by-step explanation: this is equal to (1/7)^2
Answer:
graph f(4x) grows by an exponential factor of 4 times that of graph g(x)
Step-by-step explanation:
i dont see answer choices, so I don't know if that is right, but I hope it is!
Hello! A way we could solve this equation is to divide 714 by three and then multiply the quotient by 2 to get the number of men that attended. 714/3 is 238. There were 238 women that attended the concert. 238 * 2 is 476. 476 + 238 = 714. There. There were 476 men that attended the concert.
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").
