No these are not equivelent. 24 is 4x6 so that would mean that you would have to pay $12 for those bagels and because 9 is not 3x4, 12 is making these two ratios not equivelent.
That is true because the square root of 32 is about 5.66, so 4.65 IS less than it.
Answer:
![y=C(x+3)^2](https://tex.z-dn.net/?f=y%3DC%28x%2B3%29%5E2)
Step-by-step explanation:
We are given:
![\displaystyle (x+3)y^\prime=2y](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28x%2B3%29y%5E%5Cprime%3D2y)
Separation of Variables:
![\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7By%7D%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7B2%7D%7Bx%2B3%7D)
So:
![\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bdy%7D%7By%7D%3D%5Cfrac%7B2%7D%7Bx%2B3%7D%20%5C%2C%20dx)
Integrate:
![\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Cfrac%7Bdy%7D%7By%7D%3D%5Cint%5Cfrac%7B2%7D%7Bx%2B3%7D%5C%2C%20dx)
Integrate:
![\displaystyle \ln|y|=2\ln|x+3|+C](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cln%7Cy%7C%3D2%5Cln%7Cx%2B3%7C%2BC)
Raise both sides to e:
![|y|=e^{2\ln|x+3|+C}](https://tex.z-dn.net/?f=%7Cy%7C%3De%5E%7B2%5Cln%7Cx%2B3%7C%2BC%7D)
Simplify:
![|y|=(e^{\ln|x+3|})^2\cdot e^C](https://tex.z-dn.net/?f=%7Cy%7C%3D%28e%5E%7B%5Cln%7Cx%2B3%7C%7D%29%5E2%5Ccdot%20e%5EC)
So:
![|y|=C|x+3|^2](https://tex.z-dn.net/?f=%7Cy%7C%3DC%7Cx%2B3%7C%5E2)
Simplify:
![y=\pm C(x+3)^2=C(x+3)^2](https://tex.z-dn.net/?f=y%3D%5Cpm%20C%28x%2B3%29%5E2%3DC%28x%2B3%29%5E2)
3^2+1+4=14 the answers 14
Answer:
I would buy the 2000 Toyota Tundra. Yes it is the most expensive, but it is the newest so it should require less expense money for problems, it is a manual transmission 6 cylinder so it should get better gas mileage, and it has fewer miles. The rankings of these trucks are not provided, however a Toyota tundra is considered to be a workhorse in the truck. If this is an opinion question, that's my choice.
Step-by-step explanation: