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larisa [96]
3 years ago
5

Please help me!!

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

f(3) = (-∛150)/10

Step-by-step explanation:

Put 3 where x is and evaluate. If you don't want the decimal, you can rationalize the denominator to get an exact form.

  f(3) = ∛(3/(-7·3+1)) = ∛(-3/20)

  = -∛(3·50/(20·50)) = (-∛150)/10 ≈ -0.5313292845913...

_____

Multiplying numerator and denominator by 50 makes the denominator 1000, a perfect cube.

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The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
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Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

  • Direct proportion means that two quantities increase or decrease in the same ratio
  • If y is directly proportional to x (y ∝ x) , then \frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}  <em>OR</em>  y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

   proportional to the square of its speed s

- That means d ∝ s²

∴  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

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∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵  The car require to stop from a speed of 48 miles per hour

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- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

- Substitute the values of d_{1} by 75 feet, s_{1} by 158400 feet/hour

   and s_{2} by 253440 feet/hour

∴ \frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}

∴  \frac{75}{d_{2}}=\frac{25}{64}

- By using cross multiplication

∴ 25 × d_{2} = 75 × 64

- Divide both sides by 25

∴ d_{2}  = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

Step-by-step explanation:

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