I'm going to put this into vertex form, which is y=a(x-h)^2+k
To do this, you use completing the square. Start by subtracting 1 from each side
-1+y=x^2+2x
Then, divide b (2) by 2 and square it. Add that number to each side. (normally when you complete the square, you take out the gcf of the right side of the equation before you do this. Then, you would multiply (b/2)^2 by the gcf before adding it to the left side. Since there is no gcf, we do not have to worry about this)
2/2=1
1^2=1
-1+1+y=x^2+2x+1
Next, simplify the left side and factor the right side.
y=(x+1)^2
This is vertex form. a=1, h=-1, and k=0
The vertex is (h,k) so it is (-1,0)
hope this helps!
Answer:
10,20,30
Step-by-step explanation:
Answer:
Runner-up: $15,000
Winner: $75,000
Step-by-step explanation:
Let's create an equation for this problem.
Let x=the amount the runner-up receives
Let 5x=the amount the winner receives
Then,
x+5x=90,000
6x=90,000
x=15,000
5x=75,000
Answer:
-3
Step-by-step explanation:
Since x=1, we can simplify the equation to 9+7y=-12.
To find the value of 7y, we first have to find what is missing.
-12-9=-21, so 7y has to be equal to -21. -21/7 equals -3, so y=-3.
Answer:
B
Step-by-step explanation:
Using the rule of exponents
⇔ ![\sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Given
f(x) =
, then when x = 
f(
) =
=
= 4