3. A movie theatre can accommodate a maximum of 350 moviegoers per day. The theatre operators have been changing
the admission price to find out how price affects ticket sales and
profit. Currently, they charge $11 a person and sell about 300
tickets per day. After reviewing their data, the theatre operators
discovered that they could express the relation between profit, P,
and the number of $1 price increases, x, as
P = 20(15 - x)(11 + x).
What ticket price results in the maximum profit? What is the
maximum profit? About how many tickets will be sold at this
price?

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 = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Atorch and a battery cost 2.50 altogether.the torch costs 1.50 more than the battery.what fraction of the total price is the torch? give your answer in its simplest form.

Use the quadratic function to predict f(x) if x equals 8. f(x) = 25x2 − 28x + 585