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Alex17521 [72]
3 years ago
11

Help me!!

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

<u>ANSWER: </u>

x − intercept is (\frac{8}{3}, 0) , y − intercept is (0,8).

<u>SOLUTION: </u>

Given, linear equation is y = 3x – 8 --eqn (1)

We need to find x – intercept and y – intercept i.e. where the line meets x – axis and y – axis

Now, let us find x – intercept. So put y = 0 in eqn (1)

0 = 3x – 8

3x = 8

x = \frac{8}{3}

So, point where given line meets x – axis is (\frac{8}{3} ,0)

Now, let us find y – intercept. So put x = 0 in (1)

y = 3(0) – 8

y = 8

So, point where given line meets y – axis is (0,8).

Hence, x − intercept is (\frac{8}{3} ,0) , y − intercept is (0,8).

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Develop an estimate for each of the following situations.(at) The cost of a 500-mile automobile trip, if gaso-line is $4 per gal
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Answer:

The answer is below

Step-by-step explanation:

develop an estimate for each of the following situations.

(a) The cost of a 500- mile automobile trip, if gasoline is $4.00 per gallon, vehicle wear and tear is $0.65 per mile, and our vehicle gets 25 miles per gallon.

(b) The total number of hours in the average human life, if the average life is 75 years.

(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon averages 100 miles per day, the diameter of the earth is ~4,000 miles.

Solution:

a) The total trip = 500 mile

Cost of wear and tear = $0.65 per mile = $0.65 * 500 mile = $325

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cost of a 500-mile automobile trip = Cost of wear and tear + Cost of gasoline = $325 + $80 = $405

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1 year = 365 days, 1 day = 24 hours

Average life of human in hours = 75 years * 365 days * 24 hours =657000 hours

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Distance of equator = diameter of earth = 4000 miles

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number of days for the balloon to travel round the earth = 4000 miles / (100 mile per day) = 40 days

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Y is inversely proportional to x, when Y = 7, x = 4.
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Answer:

The given statement  Y = 7, x = 4 is False.

Step-by-step explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as: y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

y=\frac{k}{x}\\y=\frac{20}{4}\\y=5

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement  Y = 7, x = 4 is False.

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