A biology student studied the population growth of two species of frogs over a ten year period. The following polynomial model the results where x is the time in years. Which polynomial models the total number of frogs? Species A: 7x^6 + 3x^3 + 3
Species B: -5x^6 + 9 + 5x^3

A. 2x^6 + 8x^3 - 6
B. -2x^6 + 16x^3 + 8
C. -2x^6 + 16x^3 + 12
D. 2x^6 + 8x^3 + 12

step-by-step explanation:

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: