One of your classmates was absent on the day that you learned how to write and solve an equation from a contextual situation. Your teacher has asked you to explain the four steps and their application to the problem that follows.
Natasha stole three fewer bases than twice the number Elena stole. If Natasha stole 15 bases, how many did Elena
steal?
Using the four steps from this lesson, write and solve an equation to find the number of bases Elena stole.

Elena steal 9 bases

Natasha steal 15 bases

Step-by-step explanation:

Let N denote the bases stolen by Natasha.

Let E denote the bases stolen by Elena.

It is given that Natasha stole three fewer bases than twice the number Elena stole.

Mathematically, it translates to

N = 2E - 3         eq. 1

If Natasha stole 15 bases, how many did Elena steal?

Mathematically, it translates to

N = 15

Now substitute the value of N into eq. 1

N = 2E - 3

15 = 2E - 3

Simplify,

15 = 2E - 3

2E = 15 + 3

2E = 18

E = 18/2

E = 9

Therefore, Elena steal 9 bases.

(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