Answer:
See below.
Step-by-step explanation:
Helen made a mistake in the last step.
2^(4/3) / e = (∛(2^4) / e = ∛(16) / e .
It is the cube root of 2^4 not the 4th root of 2^3.
Stephen made a mistake in the first step.
He replaced ln2 by 2 which is evidently wrong (e^ln2 = 2 NOT ln 2).
Answer:
Step-by-step explanation:
incomplete. no results listed below
Answer:
The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.
Step-by-step explanation:
We are given the function:

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.
To determine the average rate of change, we find the slope of the function between the two points. In other words:

Simplify:

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.
This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.
For this case we have the following equation:

We must find the value of "x":
We apply cube root on both sides of the equation to eliminate the exponent:
![x = \sqrt [3] {375}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%20%7B375%7D)
We can write 375 as 
So:
![x = \sqrt [3] {5 ^ 3 * 3}\\x = 5 \sqrt [3] {3}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%20%7B5%20%5E%203%20%2A%203%7D%5C%5Cx%20%3D%205%20%5Csqrt%20%5B3%5D%20%7B3%7D)
Then, the correct options are:
![x = \sqrt [3] {375}\\x = 5 \sqrt [3] {3}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%20%7B375%7D%5C%5Cx%20%3D%205%20%5Csqrt%20%5B3%5D%20%7B3%7D)
Answer:
Option A and B