A shipment of fruit is delivered to a warehouse. The boxes containing the fruit also contain fruit flies. Suppose we can model the population of fruit flies in the warehouse as a function of the number of days since the boxes were delivered by the equation below.
P() - 1600 - 1600(0.9)
According to this model, how many days does it take for the population to reach 320 fruit flies? Give an exact answer.
In
In (0.9)
X

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

c > -10.55

step-by-step explanation: