An oceanic island has 15 species of birds on it. Nearby, a new island is formed by volcanic activity. Since this new island is somewhat smaller than the original island, biogeography theory that it can support 8 species of birds. If the colonizing birds must migrate from the oceanic island to the newly formed island, how many different communities of 8 species could be formed on the new island

6435 different communities.

Step-by-step explanation:

This is a combination problem,

We need to know how many ways 8 species out of 15 can be selected for the new small island

15C8 = 15!/(15-8)!(8!) = 15!/(8!)(7!) = 6435 different communities.

(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

answer: your correct answer is b. d.

step-by-step explanation: