Two schools, jefferson hills east and jefferson hills west, are taking a field trip. a total of 408 students from jefferson hills east will be going in 3 vans and 6 buses. a total of 516 from jefferson hills west will be going in 6 vans and 7 buses. each can has the same number of passengers and each bus has the same number of passengers. wrote a system of equations that represents this problem situation. let x represent the number of students in each van, and let y represent the number of students in each bus.

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

Consider the polynomials given below. p(x) = x4 + 3x3 + 2x2 – x + 2 q(x) = (x3 + 2x2 + 3)(x2 – 2) determine the operation that results in the simplified expression below. 35 + x4 – 573 - 3x2 + x - 8 a. p+q b. pq c.q-p d. p-q