Simplify the expression z2-z(z+3)+3z

What's the difference between: x≥0 and nonnegative integer. ?

Is fgh ~ jkl? if so, identify the similarity postulate or theorem that applies.

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?