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butalik [34]
2 years ago
10

What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction S

tartFraction k + 1 Over k squared EndFraction StartFraction k minus 1 Over k squared EndFraction StartFraction negative 1 Over k EndFraction StartFraction 1 Over k EndFraction
Mathematics
1 answer:
Nana76 [90]2 years ago
4 0

Answer:

StartFraction negative 1 Over k cubed EndFraction

Step-by-step explanation:

3k / (k + 1) × (k²- 1) / 3k³

= 3k(k² - 1) / (k + 1)(3k³)

= 3k³ - 3k / 3k⁴ + 3k³

= -3k / 3k⁴

= -1/k³

StartFraction k + 1 Over k squared EndFraction

(k + 1) / k²

StartFraction k minus 1 Over k squared EndFraction

(k - 1)/k²

StartFraction negative 1 Over k cubed EndFraction

= -1/k³

StartFraction 1 Over k EndFraction

= 1/k

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3 years ago
Julie, a police officer, has the following work pattern. She works 3 days, has 4 days off, then works 4 days, then has 3 days of
zalisa [80]

Answer:

See below.

Step-by-step explanation:

For each day number, Y means working, and N means off

Day

1   Y

2   Y

3   Y

4   N

5   N

6   N

7   N

8   Y

9   Y

10   Y

11   Y

12   N

13   N

14   N

15   Y

16   Y

17   Y

18   N

19   N

20   N

21   N

22   Y

23   Y

24   Y

25   Y

26   N

27   N

28   N

29   Y

30   Y

31   Y

32   N

33   N

34   N

35   N

36   Y

37   Y

38   Y

39   Y

40   N

41   N

42   N

43   Y

44   Y

45   Y

46   N

a. Today is day 1. 30 days from today is day 31.

She works on day 31, so she does work 30 days from today.

b. 45 days from today is day 46. She is off on day 46, so she will be off 45 days from today.

8 0
3 years ago
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The answer is 10 because 5 10 15 20 25 30 35 40 45 50
8 0
3 years ago
Solve x^2 – 7x = -13.
lara31 [8.8K]

Answer:

No solutions I think

Step-by-step explanation:

8 0
3 years ago
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-4(2x + 4) > 8x + 64
romanna [79]

Hello there I hope you are having a great day :)

Your Question, -4(2x + 4) > 8x + 64 Solve for X

1) Expand -8x-16>8x+64

2) Add 16 to both sides -8x-16+16>8x+64+16

3) Simplify -8x>8x+80

4) Subtract 8x from both sides -8x-8x>8x+80-8x

5) Simplify -16x>80

6) Multiply both sides -1 (Reverse the inequality) (-16x) (-1) >80 (-1)

7) Simplify 16x<-80

8) divide both sides by 16   16x/16 <  -80/16

9) Simplify x < -5  

This should be your answer x < -5

Hopefully that helps you :)

5 0
2 years ago
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