So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):
Now that we have their y's, we can use the slope, aka average rate of change, formula, which is 
. Using what we have, we can solve it as such:
In short, the average rate of change from x = 0 to x = 8 is 5/21.
Y + 18 = a(x + 3)^2
<span>0 + 18 = a(0 + 3)^2 </span>
<span>18 = 9a </span>
<span>2 = a
</span>
<span>y = 2(x + 3)^2 - 18 </span>
<span>0 = 2(x + 3)^2 - 18 </span>
<span>18 = 2(x + 3)^2 </span>
<span>9 = (x + 3)^2 </span>
<span>± 3 = x + 3 </span>
<span>-3 ± 3 = x </span>
<span>x = 0 or -6
</span>
<span>(0, 0) and (-6, 0)</span>
280 student tickets were sold
140 adult tickets were sold
What took place between the first step and the second step? - A. Taking the square root of both sides.
As we can see from the first to second step, the left side of the equation goes from being squared to not being squared. While on the right side of the equation, the square root is now being taken.
Hope this helps!! :)
Answer:4800'
Step-by-step explanation:
It is 4800' because x = the number of seconds between the lightning and thunder and 1,200 is in feet. so, if there is four seconds between the time of the lightning and thunder then you can use the equation given f(x) or 1,200(x) to solve it. to do this you supplement the x with 4 which gives you 1,200(4) or the same as 1,200 · 4 = 4800ft.
