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stiks02 [169]
3 years ago
6

Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n. thanks.

Mathematics
1 answer:
azamat3 years ago
6 0

Answer: i think  (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

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From the problem we have the system of linear equations:
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The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and  then, solve for x
2x+5y=2686
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Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
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We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>
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3 years ago
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