Answer:
1) no
2)yes
3)yes
4)yes
Step-by-step explanation:
In the Figure below is shown the graph of this function. We have the following function:
The 
occurs when 
, so:
Therefore, the is the given by the point:
From the figure we have three 
:
So, the occur when 
. Thus, proving this:
Extra 10, 10 is half of what she ordered so she received an extra 50%
For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
