Answer:
D.
Step-by-step explanation:
The average rate of change of the function f is more than the average rate of change of x.
Here is why.
Look at the rates of change going from x = 0 to x = 3.
From x=0 to x=1, where x changes one unit, the value of f(x) only changes one-half unit, which is less than the change in x. But as you move to the right, see how the change in f(x) keeps getting larger and larger in magnitude? (Don't worry about the (-) sign.)
So, the <u>average</u> change in f will definitely be bigger than the average change in x, over the long run.
Now, look from x =0 and go back the other way, as x decreases 1 unit at at time. It is the same story.
If you would like to see this for yourself, look at the attached graphic.
Hope this helps.
Answer:
Step-by-step explanation:
Perimeter of a garden = 2(L+W)
Area of the gerden = LW
L is the length
W is the width
Given
Perimeter = 155ft
Area = 1400ft²
Substitute
1400 = LW
155 = 2L+2W
from 1;
W = 1400/L
Substitute into 2;
155 = 2L + 2(1400/L)
155 = 2L + 2800/L
155L = 2L² + 2800
2L²-155L + 2800 = 0
Factorize
L = 155±√155²-4(2)(2800)/4
L = 155±√24025-22400/4
L = 155±√1625/4
L = L = 155±40.31/4
L = 194.31/4
L = 48.82 feet and;
L = 155-40.31/4
L = 28.67ft
Hence the approximate length of the garden is at least 28.67 feet and at most 48.82 feet.
Answer:
m(∠LMK) = 27.9°
Step-by-step explanation:
We have to calculate the measure of angle LMK.
Measure of opposite side (KL) = 7.4
Measure of adjacent side (ML) = 14
By applying tangent rule in the given triangle,
tan(∠LMK) =
=
=
= 0.52857
m(∠LMK) =
= 27.9°