Plese me with 5 math questions! 50 points and brainliest! but don't type anything in the answer box until pics are

(each pic is a seperate question)

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 are accepted without proof in a logical system? check all that apply.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12