Answer:
9/16
Step-by-step explanation:
![f(x)=-\frac{9}{x}](https://tex.z-dn.net/?f=f%28x%29%3D-%5Cfrac%7B9%7D%7Bx%7D)
![f(x)=-9x^{-1}](https://tex.z-dn.net/?f=f%28x%29%3D-9x%5E%7B-1%7D)
Derivative rule:
![f(x)=x^{n} \\](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7Bn%7D%20%5C%5C)
![\frac{df}{dx}=nx^{n-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bdf%7D%7Bdx%7D%3Dnx%5E%7Bn-1%7D)
Here, n=-1, so
![\frac{df}{dx}=(-9)(-1)x^{-2} =\frac{9}{x^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bdf%7D%7Bdx%7D%3D%28-9%29%28-1%29x%5E%7B-2%7D%20%3D%5Cfrac%7B9%7D%7Bx%5E%7B2%7D%20%7D)
Evaluating this at x=-4 gives 9/16
F(x) represents how many books in total and x represents the number of days
Answer:
a = 1
b = -3
c = -2
Step-by-step explanation:
This breaks into two inequalities:
2x - 3 > 6
and
-2x + 3 > 6
------------------------
2x - 3 > 6
Add 3 to both sides:
2x > 9
Divide 2 to both sides:
x > 4.5
-----------------------
-2x + 3 > 6
Subtract 3 to both sides:
-2x > 3
Divide -2 to both sides:
x < -1.5
Answer:
never ever not in a million years
Step-by-step explanation: