Three eights of the students in ms. dulls class ride the bus if there are 24 students in class how many students ride the bus explain how to use equivalent fractions to solve

Total no. Ratio
Ride the bus x. = 3
Total. 24 8 This creates a proportion where both fractions: x/24 and 3/8 are equivalent fractions.

Cross multiply: 8x = (3)(24)
Multiply: 8x = 72
Divide both sides by 8: 8x/8 = 72/8
Divide: x = 9 <—. The number of students who ride the bus

It is e) i am not sure if you have any questions or need any

Answer: f(x) = -2x^3 +3x^2 +11x -6see attachedan infinite number. since the magnitude of the leading coefficient is not specified, it may be any negative number. (we have chosen the smallest magnitude integer that makes all coefficients be integers.)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.