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3 years ago

Select the correct answer.

Mathematics

1 answer:

hammer [34]3 years ago

5 0

Answer:

(A)

Step-by-step explanation:

The domain of the function are the inputs, or x-values, of the function.

{(6,-8), (9,3), (-3,5), (1,-6), (5,7)}

The domain is: {-3, 1, 5, 6, 9}.

This eliminates B, C, and D, because their domains do not match the ones we have.

We need to check to see if it matches the range as well.

The range of the function are the inputs, or y-values of the function.

{(6,-8), (9,3), (-3,5), (1,-6), (5,7)}

The range is: {-8, -6, 3, 5, 7}

A matches this range too.

A is the best answer.

Brainilest is appreciated.

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7^(x+4)=-34 solve for x

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4 years ago

Help me please its geometry

Maslowich

Answer for the first dropdown box is CAF and EFH

Answer for the second dropdown box is because they are corresponding angles of parallel lines cut by a transversal

Answer for the third dropdown box is transitive property of congruence

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Explanation:

Angles CAF and EFH are corresponding angles because they are on the bottom side of the parallel lines, and on the right side as well. So they are congruent (due to the lines being parallel).

Since CAF = EFH and EFH = HFD, this means that CAF = HFD

It's similar to saying if x = y and y = z, then x = z. Think of it as a connecting chain. This is the transitive property.

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4 years ago

A ferris wheel is 32 meters in diameter and makes one revolution every 4 minutes. for how many minutes of any revolution will yo

Licemer1 [7]

4m = 32
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x > 24
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4 years ago

(NEED HELP FAST , WILL GIVE BRAINLIEST!!!)

Kryger [21]

Answer:

Explained below.

Step-by-step explanation:

The data from the scatter plot is as follows:

Arm Span Height

19.5 25

35.5 35

37.0 39

40.5 40

44.5 45

45.5 50

49.0 49

51.0 55

52.5 47

59.0 60

61.0 58

(1)

Compute the value of slope and intercept as follows:

$\sum{X} = 495 ~,~ \sum{Y} = 503 ~,~ \sum{X \cdot Y} = 23822 ~,~ \sum{X^2} = 23660.5$

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 503 \cdot 23660.5 - 495 \cdot 23822}{ 11 \cdot 23660.5 - 495^2} \approx 7.174 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 11 \cdot 23822 - 495 \cdot 503 }{ 11 \cdot 23660.5 - \left( 495 \right)^2} \approx 0.857\end{aligned}$

The equation of the line of best fit is, y = 0.857·x + 7.174.

(2)

The slope of the line represent the rate of change in y caused by one unit change in x.

In this case the slope of m = 0.857 indicates that as the arm span increases by 1 unit the height increases by 0.857 units.

(3)

To perform the Residual Test, simply take two values from the table and interchange the x and y values.

Consider the values: (37, 39) and (51, 55)

Compute the value of y if x = 39:

$y = 0.857\cdot x + 7.174\\=0.857\times 39+7.174\\=40.597\\\approx 40.6$

The new value of y (40.6) is close to the original value (39.0)

Compute the value of y if x = 55:

$y = 0.857\cdot x + 7.174\\=0.857\times 55+7.174\\=54.309\\\approx 54.0$

The new value of y (54) is close to the original value (55)

Thus, it can be said that the line of best fit models the data provided.

(4)

The line of best fit is:

y = 0.857·x + 7.174

The slope of the line is positive.

This implies that there is a positive relationship between the two variables.

The formula of slope in terms of correlation coefficient is:

$\text{Slope}=r\times\sqrt{\frac{Var(x)}{Var(x)}}$

The correlation coefficient is directly proportional to the slope.

This implies that the correlation coefficient is also positive.

Thus, the variables Arm span and Height are positively correlated.

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3 years ago