Cost function is Discontinuous.
Since, The shown graph of cost function is function of greatest integer function and greatest integer function continuous from the left and from the right discontinuous at integer. Hence, the greatest integer function is discontinuous at all integers.
So, cost function is Discontinuous.
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Answer:
- 1.875 seconds to reach the maximum height
- 62.25 ft
Step-by-step explanation:
The problem can be solved by putting the equation into vertex form.
s - 6 = -16(t^2 -15/4t)
s -6 -16(15/8)^2 = -16(t^2 -15/4t +(15/8)^2) . . . . add the square of half the x-coefficient inside parentheses and equivalent amount on the other side of the equation
s -62.25 = -16(t -15/8)^2 . . . . write as a square, simplify the constant
s = -16(t -1.875)^2 +62.25 . . . . put in vertex form
The vertex of the downward-opening parabola is at (t, s) = (1.875, 62.25).
1. It took 1.875 seconds for the ball to reach its maximum height.
2. The ball went up to 62.25 feet.
6x8=48
7x8=56
Therefore it goes in 6 times with a remainder of 53-48=5
Move all terms that don't contain
x to the right side and solve.
X=-9/10