The ratio of points scored by 3 boys in a game is 7: 10: 12. if the sum of their scores is 232, what was the highest score?

96 points

Step-by-step explanation:

Ratio problems can be solved like this:

Let x equal an unknown value.

Now, we can write an equation.

7x + 10x +12x = 232

We want to find 12x, so we have to find x first. We can simplify our equation to:

29x = 232

Now, divide both sides by 29.

x=8

We then solve for 12x by multiplying 8 and 12, and get 96 points.

is there answer choices?

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.