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)
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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
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
Independent is the gasoline amount and dependent is the mileage driven
Answer:
x= -1
Step-by-step explanation:
1. First, you need to combine like terms. Constants with constants and variables with variables. Since there is only one variable, there is nothing to combine it with so nothing happens to it. The constants, on the other hand, can combine.
2. You have to subtract 28 from 28 and 14 so that +28 can cancel out on the left side and combine on the right.
3. That will leave you with 14x= -14.
4. Now you need to get x on its own so you need to divide 14 (opposite of multiplication to cancel out) on both sides.
5. That will leave you with x= -1. That is your final answer.
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
Height is 15 feet
It rebounds 85% of its original height
.85*15=12.75 feet on 1st bounce
12.75*.85=10.8375 feet on the 2nd bounce
10.8375*.85=9.211875 feet on 3rd bounce
So your answer is 9.2 feet high
Hope this helps!
