Answer:
The instantaneous rate of change of with respect to at the value is 18.
Step-by-step explanation:
a) Geometrically speaking, the average rate of change of with respect to over the interval by definition of secant line:
(1)
Where:
, - Lower and upper bounds of the interval.
, - Function exaluated at lower and upper bounds of the interval.
If we know that , and , then the average rate of change of with respect to over the interval is:
The average rate of change of with respect to over the interval is 27.
b) The instantaneous rate of change can be determined by the following definition:
(2)
- Change rate.
, - Function evaluated at and .
If we know that and , then the instantaneous rate of change of with respect to is:
Number of ways to select 3 books from 13 books for adoption is 286 .
<u>Step-by-step explanation:</u>
A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:
Formula is given by:
, where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.
⇒
∴ Number of ways to select 3 books from 13 books for adoption is 286 .
60 ft is 720 in. I did 720/15...that equals 48. At this point i think each in in the drawing is a foot, so every one in is 48 ft.
(x+48)
there is no y because they only give information about one side. hope this helps. :)
1. The graph is a parabola.
2. The parabola opens up, because there's no negative number in front of .
3. The vertext is (5,-1), because of the vertex form.
This means that that -1 will be the least y-value used on the graph and the garph will open up from there.
The range is (-1, infinity) or { y | y > -1 }.
He saved 58 last month.
All expenses: 625 + 259 = 884
Total earned: 942 - 884 = 58