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)
X = 8
because 8 x 2 = 16
16 - 9 = 5
5 x 3 = 15
Answer:
Her share is $3500
Step-by-step explanation:
As a general rule, if they did not make any specifications on how they would share the profit, then they should share it according on how percentage of capital they contributed. Since Elisa only contributed 10%, then she should get only 10% of profit, as a result, her share is 35000*0.1 = $3500.
Answer:
7) 9.135x10^10
8) 3.428x10^-2
9) 2.5x10^-7
10) 4x10^10
Step-by-step explanation:
You’re only supposed to have one number to the left of the decimal point in scientific notation.
7) 9.135x10^10
8) 3.428x10^-2
9) 2.5x10^-7
10) 4x10^10
Answer:
$20
Step-by-step explanation:
$44 - $4 = 40
40 divided by 2=$20
