Solve for the following equation step by step and justify your steps when using an exponential property.

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?

How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two

Which of the following represents the factorization of the trinomial below? x^2+7x-30