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zaharov [31]
2 years ago
8

PLEASE HELP ILL MARK BRAINIEST

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
6 0

Answer:

Answer:

P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

Step-by-step explanation:

Hope this helps, have a great day!

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Answer: The function is y=-\frac{28}{625}(x-35)^2+30.

Explanation:

It is given that Michael Daniels, is standing on his own 10-yard line. He throws a pass toward the opposite goal line. The football is 2 yards above the ground when the quarterback lets it go.

It follows a parabolic path. Reaching its highest point, 30 yards above the ground. It is caught 50 yards downfield at a point 2 yards above the ground.

So, the initial point is (10,2) and the other point is (60,2).

The height function of a football represents a downward parabola. The maximum point of the function is called vertex. So the vertex is (h,30).

The two point (10,2) and (60,2) have same y-coordinate, therefore the function is maximum at the midpoint of both points.

midpoint=(\frac{10+60}{2}, \frac{2+2}{2})=(35,2)

So, the function is maximum at x=35. Hence the vertex is (35,30)

The standard form of the parabola is,

y=a(x-h)^2+k

Where (h,k) is vertex and a is scale factor.

Since vertex is (35,30).

y=a(x-35)^2+30

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a=-\frac{28}{625}

So the function of height is.

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The graph of the function is shown below.

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