A or B ....it’s your choice
A pair of tires is $216, so at that rate 4 tires would be $432. The managers special is $380 so $432-$380=$52 savings for 4. $52\4=$13 savings per tire.
Answer:
The solution of the given initial value problems in explicit form is
and the solutions are defined for all real numbers.
Step-by-step explanation:
The given differential equation is
![y'=1-2x](https://tex.z-dn.net/?f=y%27%3D1-2x)
It can be written as
![\frac{dy}{dx}=1-2x](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D1-2x)
Use variable separable method to solve this differential equation.
![dy=(1-2x)dx](https://tex.z-dn.net/?f=dy%3D%281-2x%29dx)
Integrate both the sides.
![\int dy=\int (1-2x)dx](https://tex.z-dn.net/?f=%5Cint%20dy%3D%5Cint%20%281-2x%29dx)
![[\because \int x^n=\frac{x^{n+1}}{n+1}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cint%20x%5En%3D%5Cfrac%7Bx%5E%7Bn%2B1%7D%7D%7Bn%2B1%7D%5D)
... (1)
It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.
![-2=1-(1)^2+C](https://tex.z-dn.net/?f=-2%3D1-%281%29%5E2%2BC)
![-2=1-1+C](https://tex.z-dn.net/?f=-2%3D1-1%2BC)
![-2=C](https://tex.z-dn.net/?f=-2%3DC)
The value of C is -2. Substitute C=-2 in equation (1).
Therefore the solution of the given initial value problems in explicit form is
.
The solution is quadratic function, so it is defined for all real values.
Therefore the solutions are defined for all real numbers.
Answer:
140 mile
Step-by-step explanation:
![d_{1} +d_{2} =220\\2(2x-10+x)=220\\x=40\\d_{1}=2*(2*40-10)=140mile](https://tex.z-dn.net/?f=d_%7B1%7D%20%2Bd_%7B2%7D%20%3D220%5C%5C2%282x-10%2Bx%29%3D220%5C%5Cx%3D40%5C%5Cd_%7B1%7D%3D2%2A%282%2A40-10%29%3D140mile)
While x is the speed of the second train.
Answer: 20
explanation: simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers