Answer:
The vertex form of the equation is 
.
Step-by-step explanation:
You will use the equation 
to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get 
.
Then, we substitute the point as our x and y to get 
(a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the 
to get 
. Finally, divide by 9 on both sides to get 
.
Now, substitute your 
back into the equation to get y = 
.
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get 
.
Answer:
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Answer:
The answer is A, a total of 12 students spend 31 or more hours online per month.
Step-by-step explanation:
From the hours of 31 to 65 there are twelve students.
Answer:
v=4
Step-by-step explanation:
-23=3v+9-11v
-23=9-8v
-32=-8v
v=4
The direct variation that can be established using the given parameters is that, the time it takes between seeing the lightning and hearing the thunder is directly related to the speed.
However, it can also be established that the time described above is inversely proportional to the distance. This can be written as,
t = k/d
We substitute the given expression for each of the known terms. t is time, s, and d is distance, 3s.
s = k/3s
The k written in the equation is the constant of proportionality.
