Answer:
Subtract 5, double, subtract 5 doubled, so on.
D = S × T
S = D ÷ T
T =D ÷S
sorry thats all i can do
![f(x)=x^3+x^2-5x-2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3%2Bx%5E2-5x-2)
![\implies f'(x)=3x^2+2x-5=(3x+5)(x-1)](https://tex.z-dn.net/?f=%5Cimplies%20f%27%28x%29%3D3x%5E2%2B2x-5%3D%283x%2B5%29%28x-1%29)
Critical points occur when
![f'(x)=0](https://tex.z-dn.net/?f=f%27%28x%29%3D0)
, which happens for
![x=-\dfrac53](https://tex.z-dn.net/?f=x%3D-%5Cdfrac53)
and
![x=1](https://tex.z-dn.net/?f=x%3D1)
.
Check the sign of the second derivative at each critical point to determine the function's concavity at that point. If it's concave (
![f''(x)](https://tex.z-dn.net/?f=f%27%27%28x%29%3C0)
), then a maximum occurs; if it's convex (
![f''(x)>0](https://tex.z-dn.net/?f=f%27%27%28x%29%3E0)
), then a minimum occurs.
You have
![f''(x)=6x+2](https://tex.z-dn.net/?f=f%27%27%28x%29%3D6x%2B2)
and so
![f''\left(-\dfrac53\right)=-8](https://tex.z-dn.net/?f=f%27%27%5Cleft%28-%5Cdfrac53%5Cright%29%3D-8%3C0%5Cimplies%20f%28x%29%5Ctext%7B%20is%20concave%20at%20%7Dx%3D-%5Cdfrac53)
![f''(1)=8>0\implies f(x)\text{ is convex at }x=1](https://tex.z-dn.net/?f=f%27%27%281%29%3D8%3E0%5Cimplies%20f%28x%29%5Ctext%7B%20is%20convex%20at%20%7Dx%3D1)
This means a maximum of
![f\left(-\dfrac53\right)=\dfrac{121}{27}](https://tex.z-dn.net/?f=f%5Cleft%28-%5Cdfrac53%5Cright%29%3D%5Cdfrac%7B121%7D%7B27%7D)
and a minimum of
![f(1)=-5](https://tex.z-dn.net/?f=f%281%29%3D-5)
.
Answer:
It's A
Step-by-step explanation:
The days are 5, 7, and 30. 20kg of butter is used in a day.
20x5= <em>100</em>
20x7= <em>140</em>
20x30= <em>600</em>
Answer:
B
Step-by-step explanation:
I think it is b bc insurance is often a reoccuring fee and homeowners insurance is a home fee.