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2 years ago

Which function has an inverse that is a function?

Mathematics

1 answer:

RSB [31]2 years ago

8 0

Answer:

The answer is m(x) = -7x =A function will only have an inverse function if the function is one-to-one. If you graph the function out and it passes the horizontal line test, it is one-to-one. Only the function m(x) = -7x will have an inverse that is a function. The graph of y = m(x) is a linear function. Linear functions pass the horizontal line test (it's symmetric about the y-axis). The function does not have an inverse that is a function because the graph of b(x) is parabolic. It will fail the horizontal line test when you graph it out. The function does not have an inverse that is a function because the graph of d(x) is a horizontal line. A horizontal line fails the horizontal line test because it is a horizontal line. The function does not have an inverse that is a function because the graph of p(x) fails the horizontal line test (it's symmetric about the y-axis).

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Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

$\bf \bar x=\frac{5+17+12+21+29}{5}=16.8$

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$\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092$

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals 95% = 0.95

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

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and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

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2 years ago

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Kitty [74]

Answer:

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Step-by-step explanation:

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2 years ago

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Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per we

Lisa [10]

Answer:

Karl works 7 hours a week

Step-by-step explanation:

Step 1: Determine total amount that Sally earns

Total amount Sally earns=rate per hour×number of hours worked(h)

where;

Rate per hour=$7 per hour

Number of hours worked=h

Replacing;

Total amount Sally earns=(7×h)=7 h

Step 2: Determine total amount Karl earns

Total amount Karl earns=rate per hour×number of hours worked

where;

rate per hour=$5

number of hours worked=2 more than Sally=h+2

replacing;

Total amount Karl earns=5(h+2)

Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h

7 h=5(h+2)

7 h=5 h+10

7 h-5 h=10

2 h=10

h=10/2

h=5

Karl works (h+2) hours=(5+2)= 7 hours

Karl works 7 hours a week

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Answer:

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