WILL MEDAL
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

Question

WILL MEDAL
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

anonymous · Answer

solve the equation , 7x + 84 = -x² + 40x - 6 
-X²  + 40x - 6 - 7x - 84 = 0
solve the equation  , you'll find two squares, those are the days where the attendance was the same , now to find the attendance , just plug in the x ( squares ) in the equation , hope that was helpful