Answer:
7 and 13
Step-by-step explanation:
let the 2 numbers be x and y , x > y , then
x = y + 6 → (1)
(x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )
x + y = 4y - 8 ( subtract 4y from both sides )
x - 3y = - 8 → (2)
Substitute x = y + 6 into (2)
y + 6 - 3y = - 8
- 2y + 6 = - 8 ( subtract 6 from both sides )
- 2y = - 14 ( divide both sides by - 2 )
y = 7
Substitute y = 7 into (1)
x = 7 + 6 = 13
The 2 numbers are 7 and 13
For the first interval (-1, 2), f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.
<h3>
Over which interval the rate of change is zero?</h3>
For a function f(x) we define the average rate of change over the interval (a, b) is defined as:
R = (f(b) - f(a))/(b - a)
Here the function is:
f(x) = x^2 - x -1
And the rate of change will be zero on an interval (a, b) if and only if:
f(b) = f(a).
Notice that the first interval is (-1, 2)
f(-1) = (-1)^2 - (-1) - 1 = 1 + 1 - 1 = 1
f(2) = 2^2 - 2 - 1 = 4 - 2 - 1 =1
Then f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.
If you want to learn more about average rate of change:
brainly.com/question/23483858
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Answer:
The first thing that we need to do is subtract 4.5 from both sides because that would removed the 4.5 from the left side and leave us with m by itself. So we get the following
and that is our solution.
<u><em>Hope this helps! Let me know if you have any questions</em></u>
Answer: The mean is 5
Step-by-step explanation:
If you add all of the numbers and divide by how much numbers there are (8), then you get 5. Then the mean absolute deviation is the number away from the mean.
So I will put the mean absolute deviation in order of the numbers
4 (1 away from mean), 3 (2 away from the mean), 4( 1 away from the mean), 5 (same number as the mean), 6 (1 away from the mean), 6(1 away from mean), 8 (3 away from mean), and, finally another 4 (1 away)
Hope this helps :)