Madison is organizing her bookshelf. She places her favorite book on the first shelf. She puts 2 books on the second shelf and 4 books on the third shelf. She continues by putting 8 books on the fourth shelf and 16 books on the fifth shelf. She has one more shelf left. Answer the following:
If this pattern continues, how many books will be on the last shelf? In a complete sentence, explain how you found your answer.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.

5

step-by-step explanation:

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation: