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anyanavicka [17]
2 years ago
11

Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20.

She wants the answer to always be 1. What is the value of n?​
Mathematics
1 answer:
iren2701 [21]2 years ago
4 0

Answer:

5

Step-by-step explanation:

  1. (4n+5)-n/20=1
  2. cross multiply:(4n+5)-n=20
  3. 4n+5=20+n
  4. 4n-n=20-5
  5. 3n=15
  6. Divide both sides by coefficient of n
  7. n=5
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I and IV

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Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

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i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

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Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

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iii)  f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

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f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x)  = -x² + 6x + 7

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Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

3 0
3 years ago
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