A potato canon can shoot 6 potatoes every 10 minutes. At what rate can the potato canon shoot potatoes in one hour? (please write out the equation)

36 potatoes in one hour

Step-by-step explanation:

⇒ You can write the ratio of 6 potatoes for every 10 minutes as:

6 potatoes : 10 minutes

⇒ Since there are 60 minutes in an hour, you can just multiply the whole ratio by 6 to get the 10 minutes to 60 minutes:

36 potatoes : 60 minutes

36 potatoes in one hour

Hope this helps! :)

(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