4km^2/12k in simplest form is 1/3y^2
Answer:
5/2
Step-by-step explanation:
Answer:
Chart
Number of loaves Number of Bananas
1 2 1/2
2 5
4 10
Step-by-step explanation:
My friend helped me with this and since I saw no answer here I wanted to help YOU!!!!
So the first one was easy because it already said it in the number line.
The second one you simply multiply 2x 2 1/2
The third one you multiply 4x 2 1/2.
Hope it helps! Stay safe and dont go out during Quarantine!!!!!!!!!!
![y=\dfrac{e^{2x}}{4+3e^x}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7Be%5E%7B2x%7D%7D%7B4%2B3e%5Ex%7D)
![\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}](https://tex.z-dn.net/?f=%5Cimplies%20y%27%3D%5Cdfrac%7B2e%5E%7B2x%7D%284%2B3e%5Ex%29-3e%5Exe%5E%7B2x%7D%7D%7B%284%2B3e%5Ex%29%5E2%7D)
![\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}](https://tex.z-dn.net/?f=%5Cimplies%20y%27%3D%5Cdfrac%7B8e%5E%7B2x%7D%2B3e%5E%7B3x%7D%7D%7B%284%2B3e%5Ex%29%5E2%7D)
Stationary points occur where the derivative is zero. The denominator is positive for all
![x](https://tex.z-dn.net/?f=x)
, so we only need to worry about the numerator.
![8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0](https://tex.z-dn.net/?f=8e%5E%7B2x%7D%2B3e%5E%7B3x%7D%3De%5E%7B2x%7D%288%2B3e%5Ex%29%3D0)
![e^{2x}>0](https://tex.z-dn.net/?f=e%5E%7B2x%7D%3E0)
for all
![x](https://tex.z-dn.net/?f=x)
, so we can divide through:
![8+3e^x=0\implies e^x=-\dfrac83](https://tex.z-dn.net/?f=8%2B3e%5Ex%3D0%5Cimplies%20e%5Ex%3D-%5Cdfrac83)
But
![e^x>0](https://tex.z-dn.net/?f=e%5Ex%3E0)
for all
![x\in\mathbb R](https://tex.z-dn.net/?f=x%5Cin%5Cmathbb%20R)
, so this function has no stationary points...
I suspect there may be a typo in the question.