NEED HELP ASAP!!

You bike 2 mile the first day of your training, 2.3 miles the second day, 2.9 miles the third day, and 4.1 miles the fourth day. If you continue this pattern, how many miles do you bike the seventh day?

The answer to your question is 4.7 miles

Step-by-step explanation:

   Day                  Distance travelled (miles)          Difference between the

                                                                                previous day

     1                                 2  

     2                                2.3                                     0.3

     3                                2.9                                     0.6

     4                                 4.1                                     0.3

Following this pattern, 0.3, 0.6, 0.3 the fifth day I must bike 0.6 miles more than the previous day.

Fifth day = 4.1 + 0.6

               = 4.7 miles

(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