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mr Goodwill [35]
3 years ago
15

6 less than the cube of a number.

Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer:

x^3-6

Step-by-step explanation:

cube the variable and subtract 6

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Svetach [21]

Answer:

See below ↓

Step-by-step explanation:

We need to check the different time intervals to find the max. height

  1. t = 0 or 1 [both give same result]
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   2. t = 2

  • f(2) = -16(2)² + 16(2) + 12 = -20 feet

⇒ Clearly as she is diving, her maximum height will be her initial height which is <u>12 feet</u>

⇒ To achieve this, it takes her <u>0 seconds</u> [initial height = no time needed]

<u>Taking f(x) = 0 [surface of water → just touching/hit the water]</u>

  • 0 = -16x² + 16x + 12
  • 4x² - 4x - 3 = 0
  • 4x² - 6x + 2x - 3 = 0
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  • (2x + 1)(2x - 3) = 0
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  • x = 3/2 = <u>1.5 seconds</u>

<u></u>

⇒ After 1 second, she is <u>12 feet</u> above the water

⇒ The diving board is <u>12 feet</u> above the water

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3 years ago
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