If f(x) = x3, which of the following describes the graph of f(x − 3)?
the graph of f(x − 3) is a vertical shift of f(x) = x3 three units up.
the graph of f(x − 3) is a vertical shift of f(x) = x3 three units down.
the graph of f(x − 3) is a horizontal shift of f(x) = x3 three units to the right.
the graph of f(x − 3) is a horizontal shift of f(x) = x3 three units to the left.

Factor the monomial completely 42a3b3

Multiply. write your answer in simplest form. 3/8 x 5/7

Aroulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent.the probability that it lands one time on red and another time on black in any order is(a) 0.5 (b) 0.25 (c) 0.4488 (d) 0.2244