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Novosadov [1.4K]
2 years ago
15

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g.

Mathematics
2 answers:
Kamila [148]2 years ago
7 0

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Distance traveled by Jesse's car = d

Number of gallons used = g

The relation between distance and number of gallons used is given by

d=15g

We need to find the constant of proportionality in terms of distance traveled per gallon of gas.

So, Constant of proportionality = \dfrac{Distance\ traveled}{Gallon\ of\ gas}=\dfrac{d}{g}

Since we have

d=15g\\\\\dfrac{d}{g}=\dfrac{1}{15}=Constant\ of\ proportionality

Hence, Option 'd' is correct.

ella [17]2 years ago
6 0
Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. <span>The constant of proportionality in terms of distance traveled per gallon of gas is</span><span> 1/15. The answer is letter D</span>
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GaryK [48]

Answer:

  • There are 10 different combinations

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        (10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),

        (1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)

Explanation:

The possible combinations are:

1. Assuming the first coin is 10p:

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  • (10p, 2p)
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2. Asuming the first coin is 1p

Do not count (1p, 10p) as it is the same combination as (10p, 1p)

  • (1p, 50p)
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3. Assuming the first coin is 50p:

Do not count (50p, 10p) nor (50p, 1p) as they are the same combinations (10p, 50p) and (1p, 50p) counted earlier:

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4. Assuming the first coin is 2p:

The only new combination is:

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5. All the combinations with 20p have already been listed.

Therefore:

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  • The list of different combinations is:

        (10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),

        (1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)

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Answer:

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When cos 4x = - 1,  y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1,  y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

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Check the picture below.

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