On saturday, you download a video and e-mail it to seven friends. on sunday, each of these friends emails the video to seven more friends. each person who receives the video on sunday emails the video to seven people on monday, and so on. after 7 days, how many people have received the video?

137,257 people have received the video.

Step-by-step explanation:

Since, the number of videos receive on saturday = 1,

On Saturday, the video are mailed to 7 persons,

So, the number of videos receive on saturday = 7,

On Sunday, each person mail the video to further 7 persons,

So, the number of videos receive on saturday = 49,

Now, on monday each person mail the video to further 7 persons,

So, the number of videos receive on monday = 49 × 7 = 343,

Thus, there is a series that represents the given scenario,

1, 7, 49, 343,....

Which is a GP, having first term, a = 1,

Common ratio, r = 7,

For finding the total number of received videos after 7 days,

Number of terms, n = 7,

Hence, the number of received videos after 7 days,

Therefore, 137257 people have received the video.

how is that middle school

step-by-step explanation:

(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