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emmasim [6.3K]
3 years ago
12

Which statement best explains whether the table represents a linear or nonlinear function? Input (x) Output (y) 2 5 4 10 6 15 8

20
A It is a linear function because the input values are increasing.

B It is a nonlinear function because the output values are increasing.

C It is a linear function because there is a constant rate of change in both the input and output.

D It is a nonlinear function because there is a constant rate of change in both the input and output.
Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer:

C It is a linear function because there is a constant rate of change in both the input and output.

Step-by-step explanation:

With the values, you can see that the Y value is always 2.5 times the value of X.  That's a constant rate of change.

Answers A and B make no sense, because the fact that the input or output values are increasing or decreasing have no impact to determine if a function is linear or not, can be linear or non-linear in all cases.

Answer D gives the definition of a linear function, but applies it to a non-linear function.

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Please help!!! How many coefficients does this polynomial have in its complete form, including any missing terms?
frez [133]
-5x^3 + 2x^2 + 1

a coefficient is the number that is multiplied by the variable.For instance, the coefficient of 2x is 2....because 2 (the number) is multiplied by the variable x.

so in ur problem....there are 2 coefficients..-5 and 2.

** the number 1 is not a coefficient, it is a constant...a " loner " with no variables (letters) attached.

** and if u have just the letter...such as n, the coefficient to that is 1 but the one is just not written...it is actually 1n.

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2. help me i will give u brainliest
Likurg_2 [28]

Answer:

the 1st one

Step-by-step explanation:

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3 years ago
A diver descended 46.2 feet in 14.0 minutes. What was the diver's average change in elevation per minute?
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Answer: 3.3 per minute

Step-by-step explanation:

46.2 / 14.0 = 3.3

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Read 2 more answers
Please answer this correctly
vazorg [7]

Answer:

8 and 3

Step-by-step explanation:

11+11=22

That means that the perimeter is 22.

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5 0
3 years ago
A random sample of n observations is selected from a normal population to test the null hypothesis that muμequals=10. Specify th
brilliants [131]

Answer:

Step-by-step explanation:

a) H0: μ = 10

Ha: μ ≠ 10

This is a two tailed test

n = 13

Since α = 0.01, the critical value is determined from the t distribution table. Recall that this is a two tailed test. Therefore, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

The critical value is 3.012

The rejection region is area > 3.012

b) Ha: μ > 10

This is a right tailed test

n = 23

α = 0.1

We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α

1 - α = 1 - 0.1 = 0.9

The critical value is 1.319

The rejection region is area > 1.319

c) Ha: μ > 10

This is a right tailed test

n = 99

α = 0.05

We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α

1 - α = 1 - 0.05 = 0.95

The critical value is 1.66

The rejection region is area > 1.66

d) Ha: μ < 10

This is a left tailed test

n = 11

α = 0.1

We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α

1 - α = 1 - 0.1 = 0.9

The critical value is 1.363

The rejection region is area < 1.363

e) H0: μ = 10

Ha: μ ≠ 10

This is a two tailed test

n = 20

Since α = 0.05, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

The critical value is 2.086

The rejection region is area > 2.086

f) Ha: μ < 10

This is a left tailed test

n = 77

α = 0.01

We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α

1 - α = 1 - 0.01 = 0.99

The critical value is 2.376

The rejection region is area < 2.376

7 0
3 years ago
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