A sales team estimates that the number of new phones it will sell is a function of the price that it sets. It estimates that if it sets the price at x dollars, it will sell f(x) = 4,920 - 6x phones. Therefore, the company's revenue is x . (4,920 - 6x). Find

the price x that will maximize the company's revenue.

Part a : solve -vp + 40 < 65 for v part b : solve 7w - 3r = 15 for r show your work .

Christina can paint 420 square feet in 105 minutes. which unit rate describes the scenario?

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24