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?

When is g(x) = 0 for the function g(x) = 5.23x + 4?

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.

If two points are given,then exactly one line can be drawn through those two points.which geometry term does the statement represent