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Fantom [35]
4 years ago
6

Using the following expression: 4n - 2, where n represents the position of the term in the sequence, find the first four terms i

n the sequence. (HINT: put 1, 2, 3, and 4 for the term numbers in place of n)
Mathematics
1 answer:
Ksivusya [100]4 years ago
6 0

Answer:

2, 6, 10, 14

Step-by-step explanation:

For the first term, T1

n = 1

4n - 2 = 4 * 1 - 2

= 4 - 2

= 2

Second term, T2

n = 2

4*2 - 2

= 8 - 2

= 6

Third term T3

n = 3

4*3 - 2

12 - 2

= 10

Forth term T4

n = 4

4*4 - 2

= 16 - 2

= 14

Hence, the first four terms are 2, 6, 10, 14

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Add the two expressions.<br><br> 2x + 6 and 6x−1
Eduardwww [97]
2x +6x = 8x
6-1 = 5
8x+5 is the answer
3 0
3 years ago
One equation in a system of linear equations is y=2x+1
Rufina [12.5K]

Step-by-step explanation:

<u>Given equation:</u>

  • y = 2x + 1

a. write a second equation so that (1,3) is the only solution of the system

To have only one solution the equation must have a different slope.

<u>Let it be 10, then the y-intercept of y = 10x + b is:</u>

  • 3 = 1*10 + b ⇒ b = -7

<u>And the equation:</u>

  • y = 10x - 7

b. Write a second equation so that the system has infinitely many solutions

<u>To have infinitely many solutions, both equations must be same:</u>

  • y = 2x + 1

c. Write a second equation so that the system has no solutions.

<u>To have no solutions, the equations must have same slope but different y-intercepts:</u>

  • y = 2x + 5
3 0
3 years ago
The distance between two cities is 87 km. What is the distance between them on a map drawn at a scale of 1:600,000?
Elena L [17]

The distance between them on a map at a scale 1 : 600,000 is 14.5 cm

Step-by-step explanation:

Scale drawing:

  • Is used to represent a real object with accurate sizes reduced or enlarged by a certain amount (called the scale)
  • States the ratio of a length in the drawing to an equivalent length in the real world
  • 1 : 100 means 1 unit in drawing represents 100 units in real life

∵ The distance between two cities is 87 km

∵ The distance between them on a map drawn at a scale of

   1 : 600,000

- That means each 1 cm represents in real life 600,000 cm, so

   you must change the kilometer to centimeter

∵ 1 km = 100,000 cm

∴ 87 km = 87 × 100,000 = 8,700,000 cm

Now let us use the ratio method

→   1    :    600,000

→   x    :    8,700,000

By using cross multiplication

∴ x × 600,000 = 1 × 8,700,000

- Divide both sides by 600,000

∴ x = 14.5

∴ The distance between them on the map = 14.5 cm

The distance between them on a map at a scale 1 : 600,000 is 14.5 cm

Learn more:

You can learn more about the scale drawing in brainly.com/question/570757

#LearnwithBrainly

8 0
4 years ago
PLEASE HELPPPPP ASAPPPPPPPPPPPPP PLEASEEEE
Lisa [10]

Answer:

0.5679

Step-by-step explanation:

From. The table Given above :

The probability of female Given an advanced degree ;

P(F|A) = p(FnA) / p(A)

From the table, p(FnA) = 322

P(Advanced degree), P(A) = (245 + 322) = 567

Hence,

P(F|A) = p(FnA) / p(A) = 322 / 567 = 0.5679

3 0
3 years ago
What is 49/45 reduced
Brilliant_brown [7]

Answer:

1 and reduced 4/45

Step-by-step explanation:

3 0
3 years ago
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