The only root is -2. The roots are where the function goes through the x-axis. This polynomial goes through in lots of places, but the only answer that matches is -2
Alrighty, what I was always taught was to start by writing out what you know from the question.
What I know:
-Tom is paid $0.23 for every page of proofs.
-He proofreads 1,992 pages.
In order to figure out how much money Tom has made, we need to multiply 0.23 by 1,992. Multiplying allows us to see the total amount of money made by proofreading x amount of pages - for every page he proofreads, he makes $0.23.
0.23×1992=458.16
Therefore, Tom made $458.16.
Hope this helps!
Answer:
all work is shown and pictured
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.
