You are in charge of determining admission prices for an upcoming charity event. The auditorium where the event will be held can seat no more than 1200 people. You want to sell at least 400 seats in the balcony that will cost $15 per seat. You can sell no more than 700 orchestra level seats that will cost $25 per seat. You want to maximize your income from the ticket sell. The objective function for this situation is I = 15x + 25y. What (x, y) pair maximizes income?

Plz need answer now will mark which situations represent linear functions? check all that apply. a)the temperature rises and falls over the course of a day. temperature is a function of time. b)a baseball is hit into the outfield. the height of the ball is a function of time. c)a car goes 55 mph on the highway. distance is a function of time. d)a child grew 2 inches this year and 1 inch last year. height is a function of time. e)a movie director makes 2 movies per year. the number of movies is a function of the years.

Simplify (4x^2 - 8xy + 2y^2) - (9x^2 - 4xy - 7y^2) a. -5x^2 + 4xy + 9y^2 b. -5x^2 - 4xy + 9y^2 c. -5x^2 + 12xy + 4y^2 d. -5x^2 - 4xy - 5y^2

Heather is riding a quadratic function that represents a parabola that touches but does not cross the x-axis at x=-6