Answer:
<u>dont know the answer i feel sry for u</u>
: <u>)</u>
<u />
Step-by-step explanation:
Answer:
B)
Step-by-step explanation:
Given function:
![y=x^2-6x+10](https://tex.z-dn.net/?f=y%3Dx%5E2-6x%2B10)
We need to find the equivalent function.
By looking at the choices, we know that we have to convert the given function into its vertex form.
We apply completing square method to do so.
We have
![y=x^2-6x+10](https://tex.z-dn.net/?f=y%3Dx%5E2-6x%2B10)
First of all we make sure that the leading co-efficient is =1.
Since its already 1, so we move ahead to next term.
Isolating
and
terms on one side.
Subtracting both sides by 10.
![y-10=x^2-6x+10-10](https://tex.z-dn.net/?f=y-10%3Dx%5E2-6x%2B10-10)
![y-10=x^2-6x](https://tex.z-dn.net/?f=y-10%3Dx%5E2-6x)
In order to make the right side a perfect square trinomial, we will take half of the co-efficient of
term, square it and add it both sides side.
square of half of the co-efficient of
term = ![(\frac{1}{2}\times 6)^2=3^2=9](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%5Ctimes%206%29%5E2%3D3%5E2%3D9)
Adding 9 to both sides.
![y-10+9=x^2-6x+9](https://tex.z-dn.net/?f=y-10%2B9%3Dx%5E2-6x%2B9)
![y-1=x^2-6x+9](https://tex.z-dn.net/?f=y-1%3Dx%5E2-6x%2B9)
Since
is a perfect square of
, so, we can write as:
![y-1=(x-3)^2](https://tex.z-dn.net/?f=y-1%3D%28x-3%29%5E2)
Adding 1 to both sides:
![y-1+1=(x-3)^2+1](https://tex.z-dn.net/?f=y-1%2B1%3D%28x-3%29%5E2%2B1)
[Vertex form]
∴ Equivalent function
Answer:
she will need 8.4 so just get 9
Assuming you mean y=10x+150 and y=20x+115, you need to use a simultaneous equation, because you have two equations with two unknowns (x and y)
rearrange so
10x-y=-150
20x-y=-115
multiply the top by -1, so that if we add the two lines together, the y will cancel out
-10x+y=150
20x-y=-115
add the two lines together
10x=35
x=3.5
so the time is 3 and a half weeks
then we can sub in x to find y
20x-y=-115
20(3.5)-y=-115
70-y=-115
-y=-185
y=185
so 185 tickets were sold !
you can sub these values into your original equations to check your answer :)