Answer:
100feet
Step-by-step explanation:
Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;
v(t) = dh/dt = -32t + 80
0 = -32t + 80
32t = 80
t = 80/32
t = 2.5secs
Substitute t = 2.5 into the height formula h = -16t^2 + 80t
h = -16(2.5)^2 + 80(2.5)
h = -100+200
h = 100feet
Hence the maximum height the dolphin jumps is 100feet
For this case we have that the main function is given by:
![f (x) = x ^ 3](https://tex.z-dn.net/?f=%20f%20%28x%29%20%3D%20x%20%5E%203%20%20)
We apply the following transformation:
Vertical displacements:
Assume k> 0
To graph y = f (x) - k, move the graph k units down.
For k = 3 we have:
![y = f (x) - 3\\y = x ^ 3 - 3](https://tex.z-dn.net/?f=%20y%20%3D%20f%20%28x%29%20-%203%5C%5Cy%20%3D%20x%20%5E%203%20-%203%20%20)
Answer:
when the function is changed to f (x) - 3 the change that will occur is:
Vertical displacement 3 units down.
Answer: 10540 meters
Step-by-step explanation:
d(t) = 340t
to find how far it travels in 31 seconds, plug 31 into t
d(31) = 340 * 31
d(31) = 10540 meters
Answer:
the one where it passes -2
Step-by-step explanation:
-2 > -3