Algebra

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 days was the attendance the same at both plays? What was the attendance?

Play A: y=7x+84

Play B: y=-x^2+40x-6

Answer Choices:

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 never the same at both plays.

D.) The attendance was the same on days 3 and 30. The attendanceat both plays on those days was 105 and 294 respectively.

i think the answer is D, any help please?

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  1. D looks good to me. I assume you selected it after solving

    7x+84 =-x^2+40x-6

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  2. thank you!

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