What is the prime factorization of 54?

2⋅2⋅3⋅3⋅3

2⋅2⋅2⋅5

2⋅2⋅3⋅32⋅2⋅3⋅3

2⋅3⋅3⋅3

Afunction is given: f(x)=3x+12 a. determine the inverse of this function and name it g(x) b. use composite functions to show that these functions are inverses. c. f(g(– explain: what is the domain?

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Which of the following circles have their centers in the third quadrant? check all that apply.