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Alex73 [517]
3 years ago
13

Pic attached- If twice a number, n, is 5 less than three times the

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer: F: 2n = 3n - 5

Step-by-step explanation: Subtract 5 from 3n as 2n is 5 less than 3n.

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A) Write the sequence of natural numbers which are multiplied by 3 ?
Volgvan

Answer:

a) 3, 6, 9, 12, 15,...,3\cdot n, b) 4, 7, 10, 13, 16,...,3\cdot n +1, c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function f(n) = 3\cdot n, n\in \mathbb{N}. Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function f(n) = 3\cdot n + 1, n\in \mathbb{N}. Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) f(n) = 3\cdot n

\Delta f = f(n+1) -f(n)

\Delta f = 3\cdot (n+1) -3\cdot n

\Delta f = 3

(ii) f(n) = 3\cdot n +1

\Delta f = f(n+1)-f(n)

\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)

\Delta f = 3

Both sequences are arithmetic.

8 0
2 years ago
-<br> 24x4 – 18x3 + 4x2 - 3x = 0<br> -<br> Solve
Snowcat [4.5K]

Answer:

x = 16.6666666667

Step-by-step explanation:

24x4 - 18x3 + 4x2 - 3x =0

24x4 = 96

18 x 3 = 54

4x2 = 8

96-54+8= 50

50/3 = 16.6666666667

7 0
2 years ago
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a road crew can repave 1/48 of a road each hour. they must repave a road that is 3/8 miles long. how long will it take the crew
son4ous [18]
3/8 / 1/48 = 3/8 x 48/1 = 144/8 = 18 hours
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VikaD [51]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

C / ( 2 pi) = r

Step-by-step explanation:

C = 2 pi r

Divide each side by 2 pi

C /2 pi= 2 pi r / 2 pi

C / ( 2 pi) = r

4 0
3 years ago
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