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masya89 [10]
2 years ago
15

Determine if the sequence below is arithmetic or geometric and determine the

Mathematics
2 answers:
viktelen [127]2 years ago
5 0

Answer:

it is an arithmetic sequence, common difference is 2

pav-90 [236]2 years ago
4 0
Arithmetic: uses properties of addition
Geometric: uses properties of multiplication

1 + 2 = 3 + 2 = 5
This sequence is Arithmetic

Arithmetic uses common different: how much the number goes up by each time; rate of change

The common difference is 2
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Lucy is walking on a hill while playing with a yo-yo. She completes a trick that takes 8 seconds, and over this period of time,
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3 years ago
George has opened a new store and he is monitoring its success closely.
Over [174]

Answer:

(r - c)(4) means "The new store will have a profit of $4500 after its fourth month in business" ⇒ 3rd answer

Step-by-step explanation:

George has opened a new store and he is monitoring its success closely

He has found that:

  • Store’s revenue each month can be modeled by r(x) = x² + 6x + 10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars
  • His expenses each month can be modeled by c(x) = x² - 4x + 5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars

∵ r(x) = x² + 6x + 10

∵ r(x) is the revenue

∵ c(x) = x² - 4x + 5

∵ c(x) is the expenses

- The profit is the difference between the revenue and the

   expenses

∴ The profit = r(x) - c(x)

∵ r(x) - c(x) can me written as (r - c)(x)

∴ The profit = (r - c)(x)

∴ The profit = (x² + 6x + 10) - (x² - 4x + 5)

- Remember (-)(-) = (+) and (-)(+) = (-)

∴ The profit = x² + 6x + 10 - x² + 4x - 5

- Add the like terms

∴ The profit = (x² - x²) + (6x + 4x) + (10 - 5)

∴ The profit = 10x + 5

∴ (r - c)(x) = 10x + 5

- Substitute x by 4

∵ x = 4 ⇒ 4 months

∴ (r - c)(4) = 10(4) + 5

∴ (r - c)(4) = 45

∵ r and c are in hundred dollars

∴ The profit = $4500

(r - c)(4) means "The new store will have a profit of $4500 after its fourth month in business"

4 0
3 years ago
Read 2 more answers
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