Hi there!
![\large\boxed{(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty) }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28-%5Cinfty%2C%20%5Csqrt%5B3%5D%7B-4%7D%29%20%5Ctext%7B%20and%20%7D%20%280%2C%20%5Cinfty%29%20%7D)
We can find the values of x for which f(x) is decreasing by finding the derivative of f(x):
Taking the derivative gets:
Find the values for which f'(x) < 0 (less than 0, so f(x) decreasing):
0 = -8/x³ - 2
2 = -8/x³
2x³ = -8
x³ = -4
![x = \sqrt[3]{-4}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B-4%7D)
Another critical point is also where the graph has an asymptote (undefined), so at x = 0.
Plug in points into the equation for f'(x) on both sides of each x value to find the intervals for which the graph is less than 0:
f'(1) = -8/1 - 2 = -10 < 0
f'(-1) = -8/(-1) - 2 = 6 > 0
f'(-2) = -8/-8 - 2 = -1 < 0
Thus, the values of x are:
![(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20%5Csqrt%5B3%5D%7B-4%7D%29%20%5Ctext%7B%20and%20%7D%20%280%2C%20%5Cinfty%29)
9514 1404 393
Answer:
2πr cm
Step-by-step explanation:
The circumference of a circle of radius r is ...
C = 2πr
For a radius of (r cm), the circumference is ...
A = 2π(r cm) = 2πr cm
For a radius of (2r cm), the circumference is ...
B = 2π(2r cm) = 4πr cm
Then the difference between the circumferences is ...
B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference
<h2>86</h2>
Step-by-step explanation:
<h3>(3 × 3 × 3 × 3) + 4.5</h3><h3>81 + 4.5</h3><h3>85.5</h3>
<h2>MARK ME AS BRAINLIST</h2><h2>PLZ FOLLOW ME</h2>
T=d/v
540/(230+w)=380/(230-w)
540(230-w)=380(230+w)
124200-540w=87400+380w
124200-920w=87400
-920w=-36800
w=40
So the wind speed is 40 miles per hour.
Answer:
265
Step-by-step explanation:
The computation of the amount that should be make out together is shown below:
Let us assume the number of hours be x
And, the total money earned be y
Now the equation would be
y = 6x + 43
= 6(37) + 43
= 265
