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Vladimir [108]
3 years ago
9

A tent rental company charges a mandatory $125 setup fee and a $90 hourly rental fee. Which of the following equations can be us

ed to find c, the cost of renting a tent from this company for 9 hours?
A. c = (125 + 90)9
B. c = 125 + 90(9)
C. c = 125 - 90(9)
D. c = 125(9) + 90
Mathematics
2 answers:
Roman55 [17]3 years ago
7 0

B. c = 125 + 90(9) is the answer

Nezavi [6.7K]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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h(t)=-16t^{2} +63t+4

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

h(3)=-16(3)^{2} +63(3)+4=49\ ft

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

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Convert the function into a vertex form

h(t)=-16t^{2} +63t+4

Group terms that contain the same variable, and move the constant to the opposite side of the equation

h(t)-4=-16t^{2} +63t

Factor the leading coefficient

h(t)-4=-16(t^{2} -(63/16)t)

Complete the square. Remember to balance the equation by adding the same constants to each side

h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})

h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})

Rewrite as perfect squares

h(t)-(67,600/1,024)=-16(t-(63/32))^{2}

h(t)=-16(t-(63/32))^{2}+(67,600/1,024)

the vertex is the point (1.97,66.02)

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The maximum height is 66 ft

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we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

so

h(t)=-16t^{2} +63t+4

For h(t)=0

0=-16t^{2} +63t+4

using a graphing tool

The solution is t=4 sec

see the attached figure

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The domain of the function that makes sense is the interval

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