<span>h = -8t² + 40t
dh/dt = 0
⇒ d/dt(</span><span>-8t² + 40t) = 0
⇒ -16t + 40 = 0
⇒ 16t = 40
⇒ t = 40/16 = 2.5s
So it takes 2.5 seconds to reach highest point
h = -8×2.5² + 40×2.5 = -50 + 100 = 50
Ordered pair: (h,t) = (50,2.5)
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In the first table, y = 4x. So y is proportional to x.
In the second table, y is not proportional to x.
In the third table, 2y = 3x. So, y is proportional to x.
Anything greater than 1/2 can be shown as >1/2
For this case we have a function of the form:

Where,
A: initial amount
b: decrease rate
x: time in days
Substituting values we have:

Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
Answer:
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
Answer:
7 and that is its simplest form
Step-by-step explanation:
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