Answer:
too blurry, I cant see the numbers
Answer:
200
Step-by-step explanation:
6,000 divided by 30 is 200
I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
---------------------
So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
---------------------
<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
Answer: 
Step-by-step explanation:
Given
Hannah had 30 dollars
Money spent on gift A

money spent on gift B

Money spent on gift C

Answer:
a) y = -500x + 130,000
b)67,500 gallons remaining
c) 260 hours
Step-by-step explanation:
Since water is being removed at a rate of 500 gallons per hour, the slope would be a negative.
a) y = -500x + 130,000
For<u> part b</u> input 125 for x:
y = -500(125) + 130,000
y = 67,500
There are 67,500 gallons remaining
For part c we are solving for the x intercept
0 = -500x + 130,000
Subtract 130,000 from both sides
-130,000 = -500x
x = 260
It will take 260 hours for the pool to completely drain