The domain is the limits of the function. Since time doesnt go negative, start with 0. At time 0, the height is
-16(0)^2 + 144 = 144ft
Then, solve for t to find the upper limit for t, which is when the height is zero (since you're dropping the object).
-16t^2 + 144 = 0
-16t^2 = -144
t^2 = 9
t = sqrt(9)
t = 3
The domain is 0 to 3 seconds.
Answer:
7:3
Step-by-step explanation:
Divide both sides by 4
Total of 5 times = 48 + 48 + 49 + 46 + 64 = 255 mins
Goal:
Average = 53 mins
Total = 53 x 6 = 318 mins
6th ride = 318 - 255 = 63 mins
Answer: She needs to attain 63 mins for her 6th ride.
You can go through the effort of determining the zero of the function analytically and evaluating an analytic expression for the derivative at that point, or you can let a graphing calculator do that heavy lifting. Since the numbers have to be "nice" for your equation to have the desired form, it is easy to know what to round to in the event that is necessary (it isn't).
We find the positive zero-crossing at x=2, and the slope of the curve at that point to be 8. Thus the line will have slope -1/8 and can be written as
.. x +8y -2 = 0
D 32 because 160 divided by 5 is 32. hope this helped