2. alicia is writing the program for a video game. for one part of the game she uses the rule to move points on the screen.

(a) what output does the rule give when the input is ?

(b) what output does the rule give when the input is ?

(c) is the rule a function? explain why it is or why it is not.

Apositive number a or the same number a increased by 50% and then decreased by 50% of the result?

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

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.