Daily go from home to school driving my car the school is 15 miles (d) from my house. The speed limit is 30 miles per hour. I have to be at school not after 08:00 am (t1). Repersents the time leave home, where the limit is defined by d=s(t1-t0 What time should I leave home?

7:30 a.m

Step-by-step explanation:

Number of miles from house to school(d) = 15 miles

Speed limit (s) = 30 mph

t1 = time to be in school is at most 8:00a.m

t0 = time to leave house

Given the model. :

15 = 30(8 - t2)

15 = 240 - 30t2

30t2 = 240 - 15

30t2 = 225

Divide through by 30

30t2 / 30 = 225/30

t2 = 7.5

Hence, I need to leave home by 7.5 (.5 in minutes = 0. 5*60 = 30 minutes)

Hence, t0 = 7:30,; I need to leave home by 7:30 a.m

(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