Answer:
It's D .
Step-by-step explanation:
The graph of f(x) = 2^x passes through the y axis at (0, 1).
The graph of g(x) passes through (0, 0) so g(x) = 2^x - 1.
Answer:
<h3>Part A</h3>
<u>4 CD's cost $30.40, so one CD costs:</u>
- 4p = $30.40
- p = $30.40/4
- p = $7.60
<h3>Part B</h3>
80% of the regular price is $7.60
<u>If the regular price is r, we have:</u>
- 0.8r = $7.60
- r = $7.60/0.8
- r = $9.5
<u>3 CD's at regular price cost:</u>
Since $25 < $28.5, we can't buy 3 more CD's.
<h3>Part C</h3>
Answer: FIRST OPTION
Step-by-step explanation:
According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.
Therefore, keeping the property above on mind, you have that the quotient is the shown below:
We want to replace x with 2x in the original equation
g(2x) = 3(2x) -5
We can multiply 3 and 2x to simplify this, which will give us 6x
g(2x) = 6x - 5
As the comments state, the velocity is the derivative of the position.
Therefore, the velocity as function of time is:
ds / dt = 24 + 6t - 3t^2.
That is a parabola whose maximum is (1,27). With that you know that the velocity will never be either 63 m/s or 81 m/s.
Also, you know that the velocity at t = 1 s is 27 m/s.
And, you can also find that the velocity at t = 3 is 15 m/s.
I am confident on that this analysis solves your question. Else, insert a comment.
