Monica is writing the program for a video game. For one part of the game, she uses the rule (, ) → ( + 2, −5) to move points on the screen.

(a) What output does the rule give when the input is (−3, 1)? Show your work.

(b) What output does the rule give when the input is (0,−5)? Show your work.

(c) Is the rule a function? Explain why it is or why it is not

Find the roots of the equation below. x^2 - 6 + 9 = 0

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial