Answer:
x = 5/6
Step-by-step explanation:
x + 3 1/2 = 4 1/3 (converting decimal to fraction)
x + 3 3/6 = 4 2/6 (creating common denominators)
x = 5/6 (removing 3 3/6 from both sides)
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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:
For 1 miles distance: 7/10 of a mile she runs and 3/10 she walks.
For 4 miles distance (4 times the previous distance) she will run:
4*(7/10) = 18/20 = 2.8 miles
and walk:
4*(3/10) = 12/10 = 1.2 miles.
Answer: 2.28%
Step-by-step explanation:
Given: An airport find that at the present time, the mean noise level is 103 decibels and the standard deviation is 5.4 decibels.
The distribution of noise levels(x) for all jets during takeoff over the neighborhood has a normal distribution.
The probability that jets have a noise level less than 92.2 decibels when taking off over this neighborhood will be :-
Hence, the percent of these jets have a noise level less than 92.2 decibels when taking off over this neighborhood = 2.28%
