A player kicks a soccer ball resting on the ground. The height of the ball, h(t) in feet, after t seconds can be represented by
the function h(t) = -16+2 +96t.
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds
2 answers:
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Answer:
(-4, 5)
Step-by-step explanation (work shown in attached picture):
1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.
2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.
Since x = -4 and y = 5, the solution is (-4, 5).
