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iragen [17]
3 years ago
11

Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations

modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance?
Play A: y = 7x + 84


Play B: y = –x2 + 40x – 6 (1 point)


A. The attendance was the same on day 30. The attendance was 294 at both plays that day.

B.The attendance was the same on day 3. The attendance was 105 at both plays that day.

C.The attendance was the same on days 3 and 30.

D.The attendance at both plays on those days was 105 and 294 respectively.
Mathematics
1 answer:
melomori [17]3 years ago
6 0

Answer:

Hi

Step-by-step explanation:

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at a maximum speed, an airolane travels 1680 miles against the windin 5 hours. Flying with the wind, the plane can travel the sa
Licemer1 [7]

Answer:

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Step-by-step explanation:

Equation

d = r * t

Givens

With the wind

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Against the wind

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Equation

The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.

(x + y)*4 = (x - y)*5                   Remove the brackets on both sides

Solution

  • 4x + 4y = 5x - 5y                     Subtract 4x from both sides
  • 4y = -4x + 5x - 5y                    Combine
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Solution part 2

Now take one of the distance formulas and solve for x first then y.

  • (x - y)*5 = 1680               Substitute 9y for x
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  • y = 1680/40            
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  • (x - y)*5 = 1680               Substitute the wind speed for y
  • (x - 42)*5 = 1680             Divide both sides by 5
  • (x - 42) = 1680 / 5            Do the division on the right
  • (x - 42) = 336                   Add 42 to both sides.
  • x = 336 + 42
  • x = 378 mph                    Plane's speed

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Answer:

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