Answer:
101.25 weeks
Step-by-step explanation:
890-80=810
810/8=101.25
We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>
Answer:
x=0,![\sqrt[6]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B5%7D)
Decimal form,
x=0,1.30766048......
Step-by-step explanation:
x
=
x
-
=0
(take x as a common factor)
x(
-
)=0
So,
x=0 and
-
=0
for
-
=0
(add
for both sides)
=
x=
(multiply 3 by 2)
x=![\sqrt[6]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B5%7D)
So,
x=0,![\sqrt[6]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B5%7D)
Step-by-step explanation:
5×a×5×a
collect like terms
5×5×a×a
25×a^2
25a^2