Answer: 789 calories burned while combining diet with 2 hours of exercise
Step-by-step explanation:
we have that
![f(x)=2x+510](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B510)
![g(x)=200x-125](https://tex.z-dn.net/?f=g%28x%29%3D200x-125)
we know that
![(f+g)(x)=f(x)+g(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29)
substitute
![(f+g)(x)=2x+510+200x-125](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D2x%2B510%2B200x-125)
![(f+g)(x)=202x+385](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D202x%2B385)
Find ![(f+g)(2)](https://tex.z-dn.net/?f=%28f%2Bg%29%282%29)
For x=2 hours
substitute
![(f+g)(2)=202(2)+385](https://tex.z-dn.net/?f=%28f%2Bg%29%282%29%3D202%282%29%2B385)
![(f+g)(2)=789\ calories](https://tex.z-dn.net/?f=%28f%2Bg%29%282%29%3D789%5C%20calories)
therefore
The answer is
789 calories burned while combining diet with 2 hours of exercise
Answer: c
This system has infinitely many solutions.
Step-by-step explanation:
Solve by substitution:
1) Solve
for
:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
2) Substitute
for
in
:
![2x-y-1=0](https://tex.z-dn.net/?f=2x-y-1%3D0)
![2x-(2x-1)-1=0](https://tex.z-dn.net/?f=2x-%282x-1%29-1%3D0)
3) Simplify both sides of the equation:
![0=0](https://tex.z-dn.net/?f=0%3D0)
Therefore, This system has infinitely many solutions.
Solve by elimination:
You can't solve this system of equations by elimination.
Solve by graphing:
The lines are directly on top of each other, Therefore there are infinitely many solutions.