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Eddi Din [679]
3 years ago
12

(9x2 + 10x + 4) − (9x2 + 5x − 1)

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

For this case we must simplify the following expression:

(9x ^ 2 + 10x + 4) - (9x ^ 2 + 5x-1)

We eliminate the parentheses taking into account that:

- * + = -\\- * - = +\\9x ^ 2 + 10x + 4-9x ^ 2-5x + 1 =

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

9x ^ 2-9x ^ 2 + 10x-5x + 4 + 1 =\\5x + 5

Answer:

5x + 5

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A scooter (small motorcycle) is bought at a price of $9,000. It loses 14% of its value very year. Express this scenario as a seq
IrinaK [193]

The scenario as a sequence recursively and explicitly is

a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

a_{n}=9,000(0.86)^{n-1}

Step-by-step explanation:

The recursive formula for the nth term of a geometric sequence is

a_{1} = first term ;  a_{n} = r • a_{n-1} , where

  • a_{1} is the first term in the sequence
  • r is the common ratio  between the consecutive terms

The explicit formula for the nth term of a geometric sequence is

a_{n}=a(r)^{n-1} , where

  • a is the first term
  • r is the common ratio between the consecutive terms

∵ A scooter (small motorcycle) is bought at a price of $9,000

∵ It loses 14% of its value very year

- That means the new price of it will be 100% - 14% of the

  previous year

∵ 100% - 14% = 86%

∵ 86% = 86 ÷ 100 = 0.86

∴ Each year the price will be 0.86 of the price of the previous year

∴ The common ratio r = 0.86

∵ The initial price of the scooter is $9,000

∴ a_{1} = 9,000

∵ r = 0.86

- Substitute them in the the recursive formula

∴ a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

∵ a = 9,000

∵ r = 0.86

- Substitute them in the the explicit formula

∴ a_{n}=9,000(0.86)^{n-1}

The scenario as a sequence recursively and explicitly is

a_{1} = 9,000 ;  a_{n} = 0.86 • a_{n-1}

a_{n}=9,000(0.86)^{n-1}

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

5 0
3 years ago
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