During a week in December, a school nurse notices that 14 students are absent due to the flu. The nurse predicts that over the next few weeks, the number of students absent due to the flu will double each week.
Which recursive process can the nurse use to predict the number of students absent due to the flu each week?
А
add 2 to the number of students absent in the previous week
B
add 14 to the number of students absent in the previous week
С
multiply the number of students absent in the previous week by 2
D
multiply the number of students absent in the previous week by 14

idek

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.

perimeter of the base times height

step-by-step explanation: