The maximum value can be determined by taking the derivative of the function.
(dh/dt) [h(t)] = h'(x) = -9.8t + 6
Set h'(x) = 0 to find the critical point
-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8
Plug the time back into the function to find the height.
h(6/9.8) = -4.9(6/9.8)^2 + 6(6/9.8) + .6
= 2.4
And I don't understand your second question.
Answer: v ≥ 6
This means that Adrian needs to do at least 6 visits.
Step-by-step explanation:
First, we know that he gets 20 points just for signing up, so he starts with 20 points.
Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:
20 + 2.5*v
points.
And he needs to get at least 35 points, then the total number of points must be such that:
points ≥ 35
and we know that:
points = 20 + 2.5*v
then we have the inequality:
20 + 2.5*v ≥ 35
Now we can solve this for v, so we need to isolate v in one side of the equation:
2.5*v ≥ 35 - 20 = 15
2.5*v ≥ 15
v ≥ 15/2.5 = 6
v ≥ 6
So he needs to make at least 6 visits.
You want to undo the (-9 1/2), so you will add 9 1/2 to each side
Answer:
total amount paid = $ 22.9
Step-by-step explanation:
total price = $ 2.5 + $3.4(6)= $22.9
Answer: 36
Step-by-step explanation:
(Triangle ABC is isosceles)
(base angles of an isosceles triangle are congruent)
(In triangle CMB, angles in a triangle add to 180 degrees)
(triangle sum theorem)
(30-60-90 triangle CMB)
(sides opposite congruent angles in a triangle are congruent)
(segment addition postulate)
