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3 years ago

The following table shows the values of y for different values of x:

Mathematics

2 answers:

solmaris [256]3 years ago

8 0

Answer:

Option B. It represents a nonlinear function because its points are not on a straight line.

Step-by-step explanation:

Let

$A(0,0),B(1,1),C(2,4)$

we know that

If point A,B and C are on a straight line

then

The slope of AB must be equal to the slope of AC

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

<em>Find the slope AB</em>

$A(0,0),B(1,1)$

substitute in the formula

$m_A_B=\frac{1-0}{1-0}=1$

<em>Find the slope AC</em>

$A(0,0),C(2,4)$

substitute in the formula

$m_A_C=\frac{4-0}{2-0}=2$

$m_A_B\neq m_A_C$

Points A, B and C are not on a straight line

therefore

It represents a nonlinear function because its points are not on a straight line

BlackZzzverrR [31]3 years ago

7 0

Answer:

Option B) It represents a nonlinear function because its points are not on a straight line.

Step-by-step explanation:

We are given the following information in the question:

Different values of y for different values of x:

x: 0 1 2

y: 0 1 4

The attached images shows the given points plot on a graph.

From the graph it can be observed that the points does not lie on a straight line but on a curved line.

Since the points does not lie on a straight line, thus it is not a linear function.

Thus, it is a non linear function.

Thus, Option B) is the correct answer.

It represents a nonlinear function because its points are not on a straight line.

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8n-13=13-8n can someone answer with steps, please?

NARA [144]

Answer:

1.625

Step-by-step explanation:

Add 13 to both sides

8n = 26 - 8n

Add 8n to both sides

16n = 26

Divide both sides by 16

Your answer is 1.625

Hope I helped :)

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4 0

3 years ago

Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

8 0

3 years ago

Find the mode of the data set: 37, 42, 39, 44, 47, 38, 42, 45, 49, 35

Snezhnost [94]

Answer:

Step-by-step explanation:

mode is the most common number

6 0

3 years ago

Read 2 more answers

What is the equation of a line that passes through points (2,0) and (6,-4)

romanna [79]

Answer:

y = -x + 2

Step-by-step explanation:

We are asked to find the equation of a line

Step 1: find the slope

We are given two points

( 2 , 0) ( 6 , -4)

m = (y_2 - y_1 )/ (x_2 - x_1)

x_1 = 2

y_1 = 0

x_2 = 6

y_2 = -4

Insert the values

m = ( -4 - 0) / ( 6 - 2)

m = -4 / 4

m = -1

Step 2 : substitute m into the equation

y = mx + c

y = -1x + c

Step 3: substitute any of the two points into the equation

Let's pick ( 6 , -4)

x = 6

y = -4

y = mx + c

y = -1x + c

-4 = -1(6) + c

-4 = -6 + c

c = -4 + 6

c = 2

Step 4: substitute c = 2 into the equation

y = mx + c

y = -x + c

y = -x + 2

5 0

3 years ago

Which point is a solution to the system of inequalities below?

vodomira [7]

The ordered pair which is a solution to the given inequality is: C. (2, 1).

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Less than (<).
Greater than (>).
Less than or equal to (≤).
Greater than or equal to (≥).

Next, we would test the ordered pair with the given inequality to determine a solution as follows:

For ordered pair (4, 4), we have:

3x + 2y < 15

3(4) + 2(4) < 15

12 + 8 < 15

20 < 15 (False).

For ordered pair (3, 3), we have:

3x + 2y < 15

3(3) + 2(3) < 15

9 + 6 < 15

15 < 15 (False).

7x - 4y > 9

7(3) - 4(3) > 9

21 - 12 > 9

9 > 9 (False)

For ordered pair (2, 1), we have:

3x + 2y < 15

3(2) + 2(1) < 15

6 + 2 < 15

8 < 15 (True).

7x - 4y > 9

7(2) - 4(1) > 9

14 - 4 > 9

10 > 9 (True)

For ordered pair (1, 0), we have:

3x + 2y < 15

3(1) + 2(0) < 15

3 + 0 < 15

3 < 15 (True).

7x - 4y > 9

7(1) - 4(0) > 9

7 - 4 > 9

3 > 9 (False)

Read more on inequality here: brainly.com/question/27166555

#SPJ1

7 0

1 year ago