1.You have two ways for solving this.
First, you could use a graphing utility or calculator to graph both functions on the same plane, and given that the functions do not have a
![y](https://tex.z-dn.net/?f=y)
coordinate, the solution of
![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
will be the
![x](https://tex.z-dn.net/?f=x)
coordinate in which the tow graphs intercept (cross each other) as you can see in the picture (1).
The other way is equating the two equations and solve for x:
We know that
![f(x)=2x+1](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B1)
and
![g(x)=-x+7](https://tex.z-dn.net/?f=g%28x%29%3D-x%2B7)
, so
![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
is equivalent to
![2x+1=-x+7](https://tex.z-dn.net/?f=2x%2B1%3D-x%2B7)
. The only thing left is solving the equation for x:
![2x+1=-x+7](https://tex.z-dn.net/?f=2x%2B1%3D-x%2B7)
![3x=6](https://tex.z-dn.net/?f=3x%3D6)
![x=2](https://tex.z-dn.net/?f=x%3D2)
As you can see, both ways gives us the same answer: the solution to the equation
![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
is
![x=2](https://tex.z-dn.net/?f=x%3D2)
.
2. For this one we can repeat the exact same procedures as before:
Graph the functions on the same plane using a graph calculator or graphing utility, and identify the
![x](https://tex.z-dn.net/?f=x)
coordinate in which the two graphs intercept as you can see in the picture (2), or you we can also equate both equations, and solve for
![x](https://tex.z-dn.net/?f=x)
:
![x+2=2x+1](https://tex.z-dn.net/?f=x%2B2%3D2x%2B1)
![x=1](https://tex.z-dn.net/?f=x%3D1)
And just like before, both ways gives us the same answer: the solution to the equation
![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
is
![x=1](https://tex.z-dn.net/?f=x%3D1)
So, the answer that you should enter in your boxes are:
2 in the first, and
1 in the second one.
Answer:
For a square or rectangular room you will need the length and width
Then you multiply I.e length x width gives Area
bye :-)
Use the distance formula to get the answer.
(-4-(-2))*2+(-2-2)*2
-2*2+4*2
4+16=20
Then you simply 20
=4.472135955
Your answer is C, <span>y+8=3(x+1)</span>