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Sindrei [870]
3 years ago
9

How do the graphs of y=1/x and y=5/x+6 compare?

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:  The graph is attached.

Step-by-step explanation:  The given functions whose graphs are to be compared are as follows:

y=\dfrac{1}{x},~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)\\\\\\y=\dfrac{5}{x}+6.~~~~~~~~~~~~~~~~~~~~~~~~~(B)

In the attached figure, the graphs of both (A) and (B) are shown. We can easily see see from there, the shapes of both the graphs are same.

But, at x = 0, y = ∞ and at x = ∞, y = 0 in graph (A).

At  x = 0, y = ∞ and at x = ∞, y = 6 in graph (B).

Thus, the comparison can be seen in the figure very clearly.

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5 cups

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In a music group of 45 people, 1/9 are vocalists and the rest play musical instruments. How many play musical instruments
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Steven is buying a new mountain bike on layaway for $324. If he pays $36 each week how many weeks will it take steven to pay for
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When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba
Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25

And

z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

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3 years ago
A backpack that normally sells for $39 Is on sale for 33% off. Find the amount of the discount and the sale price
Nataliya [291]
To get the price, you have to multiply the amount by the percent it would become.

100% of 39 is 39
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Remember, the percent is a decimal because it is part of a whole (1).

39*0.67=$26.13.

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3 years ago
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