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?

6 ounces of red beads

6 ounces of gold beads

Step-by-step explanation:

h

6 oz of bot red and gold beads

Step-by-step explanation:

d is the only accurate one

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.