Given:
The quadratic equation is
![y=6x^2-15x+6](https://tex.z-dn.net/?f=y%3D6x%5E2-15x%2B6)
To find:
The x-intercepts of the given equation.
Solution:
We have,
![y=6x^2-15x+6](https://tex.z-dn.net/?f=y%3D6x%5E2-15x%2B6)
Splitting the middle term, we get
![y=6x^2-12x-3x+6](https://tex.z-dn.net/?f=y%3D6x%5E2-12x-3x%2B6)
![y=6x(x-2)-3(x-2)](https://tex.z-dn.net/?f=y%3D6x%28x-2%29-3%28x-2%29)
![y=(x-2)(6x-3)](https://tex.z-dn.net/?f=y%3D%28x-2%29%286x-3%29)
For x-intercepts, y=0.
![(x-2)(6x-3)=0](https://tex.z-dn.net/?f=%28x-2%29%286x-3%29%3D0)
Using zero product property, we get
![x-2=0\text{ and }6x-3=0](https://tex.z-dn.net/?f=x-2%3D0%5Ctext%7B%20and%20%7D6x-3%3D0)
![x=2\text{ and }6x=3](https://tex.z-dn.net/?f=x%3D2%5Ctext%7B%20and%20%7D6x%3D3)
![x=2\text{ and }x=\dfrac{3}{6}](https://tex.z-dn.net/?f=x%3D2%5Ctext%7B%20and%20%7Dx%3D%5Cdfrac%7B3%7D%7B6%7D)
![x=2\text{ and }x=0.5](https://tex.z-dn.net/?f=x%3D2%5Ctext%7B%20and%20%7Dx%3D0.5)
So, the x-intercepts are (0.5,0) and (2,0).
Therefore, the correct option is a.
Answer:
Step-by-step explanation:
115+4n-5=180 degree (being straight line)
110-4n=180
4n=180-110
n=70/4
n=17.5
therefore the value of n is 17.5 degree
substitute the value of n
4n-5
4*17.5-5
70-5
65
$475*0.15=$71.25 discount
Answer:
2
Step-by-step explanation:
Step 1: Write out equation g(f(a))
1/√a
Step 2: Plug in 0.25 for <em>a</em>
1/√0.25
You answer should be 2
Divide the first one by the second and the answer will be B.