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Leto [7]
4 years ago
7

Please help asap!!!

Mathematics
2 answers:
lbvjy [14]4 years ago
8 0

Answer:

The inequality is 30-3d≤20

The solution set is d≥10/3

Step-by-step explanation:

i got it from khan academy

sladkih [1.3K]4 years ago
6 0

Answer:

  • <u><em>Inequality: </em></u>30 - 3d ≤ 20

<u><em></em></u>

  • <u><em>Rate of decrease from Monday to Thursday:</em></u> greater than or equal to 10/3 degrees Celsius per day

Explanation:

Translate theconditions into mathematical terms:

  • HIgh temperature on Monday = T₀ = 30°C.

  • The temperature decrease at a constant rate in the next 3 days. Call d such rate, so T₃ = T₀ - 3d = 30 - 3d

That the pool is open when the high temperature is higher than 20°C means that, if the pool is closed, then the temperature is less than or equal to (≤) 20°C:

  • 30 - 3d ≤ 20

And that is the requested inequality.

From that, you can solve for the rate of temperature decrease, d:

  • Add 3d to both sides: 30 ≤ 20 + 3d

  • Subtract 20 from both sides: 10 ≤ 3d

  • Divide both sides by 3: 10/3 ≤ d

  • Apply symmetry property: d ≥ 10/3

Hence, the rate of temperature decrease is greater than or equal to 10/3 degrees Celsius per day, from Monday to Thursday.

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Answer:

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Step-by-step explanation:

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The initial velocity is 38 ft/s straight up into the air so v0=+38

h(t)=-16t2+38t+30

When the object hits the ground, h=0.

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Simplifying 8t2-19t-15=0

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As time cannot be -ve, t=3s. The answer is C.

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Answer:

The range is the output value or the y value.

You would work backwards to find the domain.

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add 1 to both sides                    add 1 to both sides

4 = 4x                                            8 = 4x

divide both sides by 4              divide both sides by 4

x = 1                                              x = 2

f(x) = 4x - 1                                  f(x) = 4x - 1

11 = 4x - 1                                      15 = 4x - 1

add 1 to both sides                      add 1 to both sides

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divide both sides by 4                  divide both sides by 4

x = 3                                                    x = 4

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Step-by-step explanation:

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