Miss Sarah will need the same amount as Mr. Tom if she divides 1/16 by 2 and get 1/8. So they will have the same amount of cheese as the other person does
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:
yes
Step-by-step explanation:
2/ 3 - (3 - 1) * 3 - 1 = -4
Simplify
= 2/-4
which is
= -2/4
Then simplify again
= -1/2