Alexa is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Alexa spent $22.50 altogether on 14 games and rides. Graphically solve a system of equations in order to determine the number of games Alexa played, x, x, and the number of rides Alexa went on, yy.

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

Which expression is rational? 6. , square root two, square root 14, square root 49

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.