Answer:
D
Step-by-step explanation:
Slope formula: m = (y2 - y1) / (x2 - x1)
First coordinate: (1, 3)
Second coordinate: (3, 9)
m = (9 - 3) / (3 - 1)
m = (6) / (2)
m = 3
Answer with Step-by-step explanation:
We are given function
![f(x)=x^2(x-2)(x-2)](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%28x-2%29%28x-2%29)
a.From given we can see that
When x approaches to infinity then y also approaches infinity.
When x approaches-infinity then y also approaches infinity.
b.To find the x-intercept
Substitute y=0
![x^2(x-2)(x+2)=0](https://tex.z-dn.net/?f=x%5E2%28x-2%29%28x%2B2%29%3D0)
![x=0](https://tex.z-dn.net/?f=x%3D0)
![x-2=0](https://tex.z-dn.net/?f=x-2%3D0)
x=2
![x+2=0](https://tex.z-dn.net/?f=x%2B2%3D0)
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
x-intercept:(0,0),(2,0),(-2,0)
To find the y-intercept
Substitute x=0
![y=0](https://tex.z-dn.net/?f=y%3D0)
y-intercept:(0,0)
Answer:
The greatest common factor of this would be 3x^2y
Step-by-step explanation:
In order to find this, first find the greatest common factor of the coefficients. Since 3 goes in evenly to both 15 and -18, then we know that it is a common factor.
From there we need to find the number of x's. Since the first term only has 2 x's and the second has 3, we take the lowest number. (x^2)
And since the first term has 3 y's and the second has just 1, we take the lowest number (y).