There are 2 roots so the only way to complete the square is,
![y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%29%5D-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%2B4%29-4%5D-9%5C%5Cy%3D2%5B%28x%2B2%29%5E2-4%5D-9%5C%5Cy%3D2%28x%2B2%29%5E2-8-9%5C%5Cy%3D2%28x%2B2%29%5E2-17)
Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.
then complete the square and multiply 2 inside the brackets.
subtraction as you already get the vertex form and know how to complete the square.
Vertex Form: 
Answer:
Type I error.
Step-by-step explanation:
The decision to shut the process is triggered by the conclusion that the average height is significantly different from 66 mm.
This means that the null hypothesis, that states that the average height is not significantly different from 66 mm (μ=66), has been rejected.
If the null hypothesis is rejected, the error that can have been made is to reject a true null hypothesis, when the process is functioning to specification and the average length is not significantly different from 66.
This is a Type I error, that happens when a true null hypothesis is rejected.
Answer:more people will be living in Africa than in Asia sometime around 2120
Step-by-step explanation:
Answer:
the choice of consumers regarding what to purchase to satisfy their wants and the choice of producers regarding what to produce to maximize profits.
Step-by-step explanation:
Alexis and 3 friends buy:
-Pretzel $4.
-Sauce $1
-Drink $2
First we would multiply all the food prices by 4, since there is 4 people in total.
4 x 4 = $16
1 x 4 = $4
2 x 4 = $8
Now we're adding all the prices together.
16 + 4 + 8 = $28
At this point, we're going to make the expression, using all the steps that we did.
( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )
We used parenthesis to show that those expressions need to be done first before anything else.
This is how we make an expression and we find the total answer.
The expression would be: ( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )
The total cost would be: $28
Hope this helps!~
