Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {d, f, g, j}, B = {a, b, d, f}, and C = {b, c, f, j}

List the elements of the set A n (B U C)

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?

Given that y varies directly to the square root of (x + 1), and that y = 1 when x = 8,(a)express y in terms of .x,(b)find the value of y when x = 3,(c)find the value of x when y = 5.

What is the distance between the points (2, 5) and (5,9)?