Adartboard has 8 sections of equal area. the letters represent colors red (r), yellow (y), blue (b), and green (g). complete the probability distribution for a dart that hits the board at a random location. red: 1/8 yellow: ? green: 3/8 blue: 1/8

3/8

Step-by-step explanation:

If you add the top number of all the fractions you get 5. You need to get to 8, 8-5=3 so that means yellow has to be 3/8.

here is a big fat

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.