Answer: The maximum height the football reaches = 51.89 feet.
Step-by-step explanation:
Given: The equation gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.
Differentiate the given equation, we get
(i)
Put
Differentiate (i) w.r.t. t, we get
< 0 i.e. h is maximum at t= 1.65625
The value of h at t= 1.65625 will be
Hence, the maximum height the football reaches = 51.89 feet.
The 8 is a, the 3 is b and -45 is c
Plug them into the quadratic formula
Answer:
slope = -2
Step-by-step explanation:
To find the slope, you can use the slope formula, .
and
represent the x and y values of one point the line passes through, and
and
represent the x and y values of another point the line also passes through.
So, in order to answer the question, we need two points from the line. To find these points, look at the x and y values of the table - they form points. Thus, (-2, 0) and (-1,-2) would be two points the line passes through. Use those x and y values and substitute them into the formula. Then, solve:
Thus, the slope is -2.