Given that for all values of x, f(x) = 3x + p
g(x) = px + 4
and fg(x) = 6x + p
where p and q are constants.
Work out the values of p and q

Simplify (1/2)4th power a. (1/16) b.(1/8) c.(1/4)

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.

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d?