Answer:
Quadratic
Step-by-step explanation:
A linear equation is just a line and an exponential function goes in the same direction
A quadratic us a parabola which has a turning point
Given:
The system of equations is:
Line A: ![y=x-4](https://tex.z-dn.net/?f=y%3Dx-4)
Line B: ![y=3x+4](https://tex.z-dn.net/?f=y%3D3x%2B4)
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get
![x-4=3x+4](https://tex.z-dn.net/?f=x-4%3D3x%2B4)
![-4-4=3x-x](https://tex.z-dn.net/?f=-4-4%3D3x-x)
![-8=2x](https://tex.z-dn.net/?f=-8%3D2x)
Divide both sides by 2.
![-4=x](https://tex.z-dn.net/?f=-4%3Dx)
Substituting
in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting
in the given equations.
![-8=-4-4](https://tex.z-dn.net/?f=-8%3D-4-4)
![-8=-8](https://tex.z-dn.net/?f=-8%3D-8)
This statement is true.
Similarly,
![-8=3(-4)+4](https://tex.z-dn.net/?f=-8%3D3%28-4%29%2B4)
![-8=-12+4](https://tex.z-dn.net/?f=-8%3D-12%2B4)
![-8=-8](https://tex.z-dn.net/?f=-8%3D-8)
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
The next two term in patterns is below
3,6,5,10,9,18,17,34,33,66
Linear, because the graph of the line is just a straight line without any curves, and the power of x is 1. If x was raised to the second, third, fourth, etc. power, it would be a nonlinear equation.