Answer:
The function is nonlinear
Step-by-step explanation:
Given
x --- y
1 --- 6
2 --- 24
3 --- 54
4 --- 96
Required
Determine if the function is linear of not
A function is linear if the difference in the successive y values are the same for corresponding values of x
When x = 1; y = 6 and when x = 2; y = 24
![Difference = 24 - 6](https://tex.z-dn.net/?f=Difference%20%3D%2024%20-%206)
![Difference = 18](https://tex.z-dn.net/?f=Difference%20%3D%2018)
When x = 2; y = 24 and when x = 3; y = 54
![Difference = 54 - 24](https://tex.z-dn.net/?f=Difference%20%3D%2054%20-%2024)
![Difference = 30](https://tex.z-dn.net/?f=Difference%20%3D%2030)
When x = 3; y = 54 and when x = 4; y = 96
![Difference = 96 - 54](https://tex.z-dn.net/?f=Difference%20%3D%2096%20-%2054)
![Difference = 42](https://tex.z-dn.net/?f=Difference%20%3D%2042)
Note that the calculated differences are not equal.
<em>Hence, the function is nonlinear</em>
Answer:
![-21s^{3}](https://tex.z-dn.net/?f=-21s%5E%7B3%7D)
Step-by-step explanation:
![-3s^{2} \times 7s](https://tex.z-dn.net/?f=-3s%5E%7B2%7D%20%5Ctimes%207s)
![-21s^{2+1}](https://tex.z-dn.net/?f=-21s%5E%7B2%2B1%7D)
![-21s^{3}](https://tex.z-dn.net/?f=-21s%5E%7B3%7D)
Answer:
see the explanation
Step-by-step explanation:
we know that
![sin(A-B)= sinAcosB-cosAsinB](https://tex.z-dn.net/?f=sin%28A-B%29%3D%20sinAcosB-cosAsinB)
we have
![A=180\°\\ B=\theta](https://tex.z-dn.net/?f=A%3D180%5C%C2%B0%5C%5C%20B%3D%5Ctheta)
so
![sin(180\°-\theta)= sin(180\°)cos(\theta)-cos(180\°)sin(\theta)](https://tex.z-dn.net/?f=sin%28180%5C%C2%B0-%5Ctheta%29%3D%20sin%28180%5C%C2%B0%29cos%28%5Ctheta%29-cos%28180%5C%C2%B0%29sin%28%5Ctheta%29)
Remember that
![sin(180\°)=0](https://tex.z-dn.net/?f=sin%28180%5C%C2%B0%29%3D0)
![cos(180\°)=-1](https://tex.z-dn.net/?f=cos%28180%5C%C2%B0%29%3D-1)
substitute
![sin(180\°-\theta)= (0)cos(\theta)-(-1)sin(\theta)](https://tex.z-dn.net/?f=sin%28180%5C%C2%B0-%5Ctheta%29%3D%20%280%29cos%28%5Ctheta%29-%28-1%29sin%28%5Ctheta%29)
----> is verified
Answer:
y= 3x - 2 has a slope of three n the graph pic will be below
y= -2x + 3 has a slope of -2 n the graph pic will be below
Step-by-step explanation:
I hope this is what you were looking for and I hope it helps you!
Answer:
(K'(- 1, - 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Thus
K(- 1, 2 ) → K'(- 1, - 2 )