She has driven for about 1 hour and 28 minutes
Answer:
the range is {7,5,1}
Step-by-step explanation:
To find the range, just plug in the domain into the function.
f(-1) = -2(-1) + 5 = 7
f (0) = -2(0) + 5 = 5
f(2) = -2(2) + 5 = 1
Answer:I think its D
Step-by-step explanation:
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
