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3 years ago

Does the equation below define a linear function? y = 3/x, when x ≠ 0

Mathematics

1 answer:

Arisa [49]3 years ago

8 0

we know that

Linear function:

A linear function is a function whose graph is a straight line, that is a polynomial function of degree at most one

For exp: $y=mx+b$

Here , we are given

$y=\frac{3}{x}$

we can see that

x is in denominator

so, this can not be linear function........Answer

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Select the correct answer. A dormitory manager buys 38 bed sheets and 61 towels for $791.50. The manager get another 54 bed shee

svetlana [45]

Okay, let's represent the price of a bed sheet with 'b' and a towel with 't':

54b + 50t = 923

38b + 61t = 791.50

Now, if we subtract both sides by 54b (on the first equation), we get this:

50t = 923 - 54b

Divide both sides by 50:

t = 18.46 - 1.08b

Now that we know this, we can move on to the 2nd equation:

38b + 61t = 791.50

Input the variable 't':

38b + 61(18.46 - 1.08b) = 791.5

38b + 1126.06 - 65.88b = 791.5

38b - 65.88b = 791.5 - 1126.06

Simplify:

-27.88b = -334.56

Because both sides are negative, we can turn it into a positive:

27.88b = 334.56

b = 334.56/27.88

b = 12

Now that we know that b = 12, we can easily input it into any equation:

648 + 50t = 923

50t = 275

t = 5.5

One bed sheet costs $12 and one towel costs $5.50

Option C is the answer.

6 0

3 years ago

The owner of a local golf course wants to estimate the difference between the scores of golfers on his golf course and the score

Olenka [21]

Answer:

(8) The correct option is (3).

(2) The correct option is (1).

Step-by-step explanation:

(8)

The hypothesis can be defined as:

H₀: There is no difference between the two population means, i.e. μ₁ = μ₂.

Hₐ: There is a difference between the two population means, i.e. μ₁ ≠ μ₂.

The decision rule of the test based on confidence interval is:

If the (1 - α) % confidence interval consists the null hypothesis value then the null hypothesis is not rejected. and vice-versa.

The 90% confidence interval for the paired difference between means is, (-3.31, 14.74).

The interval consists the null value, 0.

Thus, the null hypothesis was failed to be rejected.

Conclusion:

No significant difference exists between the average difference in scores and the differences were calculated as 0.

Thus, the correct option is (3).

(2)

A (1 - α) % confidence interval implies that there is (1 - α) % chance of the population parameter to be contained in this interval.

Or if 100 such intervals are constructed then (1 - α) of these intervals will consist the true parameter value.

The 99% confidence interval for the difference between means is, (-0.124, 13.85).

This interval implies that the true mean difference between the two populations lies in this interval with probability 0.99.

Conclusion:

We are 99% confident that the difference between the average age of all men and all women who play golf at the course is between -0.124 and 13.85.

Thus, the correct option is (1).

4 0

3 years ago

80% of what number is 20

Olin [163]

the answer is 16 because .80 times 20 is 16

7 0

4 years ago

Read 2 more answers

1+1

Bezzdna [24]

Answer:

Step-by-step explanation:

Well you should count with fingers, one finger and one finger, two fingers

8 0

3 years ago

Read 2 more answers

(28 + 7 + 6 + 3) X 1/2

madam [21]

Answer:

Step-by-step explanation:

28+7+6+3=44

44/1 x 1/2

22/1

7 0

3 years ago