Tell whether each function is linear or non-linear. Function A Function B x 0 1 2 3 y 0 1 8 27 y = –x + 5

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the linear function  

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

The graph of y = mx + b is a straight line. Thus, y = mx + b represents a linear function.

Analzing the function y = –x + 5

Given the linear function

y = –x + 5

comparing with the slope-intercept form of linear equation

The slope m = -1

The y-intercept b = 5

Also, the graph of a linear function is a straight line.

Thus,

The function  y = –x + 5 represents  a linear function.

Analzing the Table Function

x        0     1     2     3

y        0     1     8     27

In order to identify whether the given table represents the linear function or not, we need to make sure the given function has a constant change x and y.

If there is a constant change in x and y, then it would be a linear Function otherwise it would not represent a linear function.

There is a constant change in x values.

i.e.

1 - 0 = 1

2 - 1 = 1

3 - 2 = 1

But, there is NOT a constant change in y.

i.e.

1 - 0 = 0

8 - 1 = 7

27 - 8 = 19

It is clear that the table does not have a constant change in y-values.

Therefore, the table function does not represent the linear function


Related Questions

help pls :( DO IT FOR A NUGGET

Answers

Answer:

natural numbers. they are also called counting numbers. hope this helps :)

if the answer is supposed to start with “Wh” then whole number would work

Determine the value of the expression -6.5-(8.2-11.4)

Answers

Answer:

65558 карочедавай ×××××××

Answer:

-3.3

Step-by-step explanation: your welcome!(:

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 35

2. 50

Step-by-step explanation:

Mulitply 7 by 5 and you'll see what they divided by

and just divide 3,500 by 7

The measure of angle Q is 70 degrees. Find the measure of angle P.

Answers

Answer:

∠ P = 40°

Step-by-step explanation:

Since PQ = PR then the triangle is isosceles and the base angles are congruent, then

∠ R = ∠ Q = 70° , so

∠ P = 180° - (70 + 70)° ← sum of angles in triangle is 180°

∠ P = 180° - 140° = 40°

use the figure below and determine the angle measures. what is the measure of angle G?

Answers

Answer:

45

Step-by-step explanation:

First we want to understand the Base Angles Theorem

The Base Angles Theorem tells us that the base angles or the two bottom angles of an isosceles triangle are congruent.

Using this theorem, we can say that angle A and angle G are congruent meaning m∠A = m∠G. We can then write both of them as x.

We can create the equation ∠N + ∠A + ∠G = 180 degrees.

Knowing ∠N and knowing ∠A + ∠G = 2x, we can rewrite the equation into

90 + 2x = 180

We can then solve for x,

90 + 2x - 90 = 180 - 90

2x = 90

2x / 2 = 90 / 2

x = 45 degrees

Help ASAP
Free response
What is the volume of a cone with a diameter of 6 inches and a height of 9 inches? Use 3.14 for pi. Round your answer to the
nearest tenth.

Answers

Answer:

since it has a diameter of 6, its radius must be half that or 3.

Step-by-step explanation:

Find the 25th term in the arithmetic sequence: 23, 223, 423, 623,...

Answers

Answer:

823

Step-by-step explanation:

count by 30s to get the answer thats how i got 823

The graph of a proportional relationship contains the point (8,4). What is the corresponding equation? Enter your answer as a fraction in simplest form by filling in the boxes.


y= — x

Answers

Given:

The graph of a proportional relationship contains the point (8,4).

To find:

The corresponding equation.

Solution:

If y in directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]        ...(i)

Where, k is the constant of proportionality.

The graph of a proportional relationship contains the point (8,4).

Putting x=8 and y=4 in (i), we get

[tex]4=k(8)[/tex]

[tex]\dfrac{4}{8}=k[/tex]

[tex]\dfrac{1}{2}=k[/tex]

Putting [tex]k=\dfrac{1}{2}[/tex] in (i), we get

[tex]y=\dfrac{1}{2}x[/tex]

Therefore, the required equation is [tex]y=\dfrac{1}{2}x[/tex].

Find the slope and the y-intercept of the graph of the linear equation. 1. y=3x-7 2. y-1=-2/3x

Answers

Answer:

1) Slope: 3; y-intercept: -7

2) Slope: 2/3; y-intercept: 1

Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

1. y = 3x - 7

The equation is already in slope-intercept form, so you can find the slope and intercept.

Slope: 3

y-intercept: -7

2. y - 1 = 2/3x

For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

Add 1 to both sides

y - 1 + 1 = 2/3x + 1

y = 2/3x + 1

Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

y-intercept: 1

BRO CAN SOMEONE PLEASE HELP ME THIS TEST IS A MAJOR GRADE I CAN HELP YOU WITH SOMETHING BUT PLEASE HELP ME WITH THIS
The length, l , of a rectangle is 3 cm longer than twice the width, w. The perimeter of the rectangle is 66 cm.

Which system of linear equations could be used to find the length and width of the rectangle?
A. l = 3w + 2
2l + 2w = 66

B.l = 3w + 2
l + w = 66

C.I= 2w + 3
l + w = 66

D. l = 2w + 3
2l + 2w = 66

Answers

Answer:

The system of linear equations that could be used to find the length and width of the rectangle will be:

l = 2w + 3 cm  

2w + 2l = 66

Hence, option D is correct.

Step-by-step explanation:

Let the width of the rectangle be = w cm

Given that the length, l, of a rectangle is 3 cm longer than twice the width, w.

Thus, the length of the rectangle be:

l = 2w + 3 cm  

We know that the perimeter of the rectangle is:

P = 2w + 2l

Given that the perimeter of the rectangle = P = 66 cm

so substitute P = 66 in P = 2w + 2l

P = 2w + 2l

66 = 2w + 2l

Therefore, the system of linear equations that could be used to find the length and width of the rectangle will be:

l = 2w + 3 cm  

2w + 2l = 66

Hence, option D is correct.

Mona has a bag containing 4 red marbles, 12 greens marbles, and 8 black marbles. Without looking, she pulls out one marble from the bag
and does not replace it. She then pulls a second marble from the bag. What is the probability that she will pull a red on the first pick and
red on the 2nd pick?

Answers

Answer:

1 / 46

Step-by-step explanation:

P(R, R) = [tex]\frac{4}{24}[/tex] · [tex]\frac{3}{23}[/tex] = [tex]\frac{1}{46}[/tex] (simplified form)

A line through which two points would be parallel to a line with a slope of 3/4?

a
(0,-2) and (-4,-2)
b
(0,5) and (-4,2)
c
(0,2) and (-4,1)
d
(0,0) and (0,-2)

Answers

Answer:

F. (0, 5) and (-4, 2)

Step-by-step explanation:

We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:

F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.

What is the equation of the line that passes through the point (-3, 5) and has a
slope of -2?

Answers

Answer:

y = -2x - 1

Step-by-step explanation:

y=mx+b

5= -2(-3) + b

5= 6+b

5 - 6 = b

-1 = b

An iceberg is 27 feet above water however it is 46 feet deep underwater. How tall is the iceberg

Answers

Answer:

73 feet

Step-by-step explanation:

27 + 46 = 73 feet

The basking shark can grow to a length of 30 feet. This is 176.47% of the maximum length of the beluga whale. Find the maximum length of the beluga whale. If necessary, round your answer to the nearest tenth.
a) 52.9ft
b) 17ft
c) 5.9ft
d)1.7ft

Answers

Answer:

b

Step-by-step explanation:

The maximum length of the beluga whale is 17 feet.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The basking shark can grow to a length of 30 feet.

This is 176.47% of the maximum length of the beluga whale.

Assuming the maximum length of a beluga whale is x feet.

So,  176.47% of x is 30 feet.

∴ (176.47/100)×x = 30.

1.7647x = 30.

x = (30/1.7647).

x = 17 feet.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

The scale shows both percentages and decimals.
0%
20%
40%
60%
80%
100%
0
0.2
0.4
0.6
0.8

Fill in the missing decimals in the gaps below.
The first one is done for you.
40% is the same as 0.4
90% is the same as
7% is the same as

Answers

Answer:

0.9

0.07

Step-by-step explanation:

please like..... ......

if you where asked to solve a system of linear equations using the substitution method, what form would one or both of the equations start as that would make the problem the simplest?


A. point-slope form
B. standard form
C. slope-intercept form
D. point-intercept form​

Answers

Answer:

It's A

Step-by-step explanation:

In general, the equation in point-slope form will give an expression that can substitute for "y", as that form is ...

 y = [something]

_____

In specific instances, the other forms of the linear equations may work, but that is not guaranteed.


Which expressions have a value of 64? Check all that apply.

Answers

Answer:    /..Step-by-step explanation:       ..nn

.

express this number in standard form

Answers

Answer:

90000000

that's the answer but I'm not sure about the standard form sry

Answer:

90,000,000

Step-by-step explanation:

100^7= 10,000,000

10,000,000x9= 90,000,000

Multiply and simplify.

2x4yx·6xy2z3




12(xyz)12

12x6y3z3

12x4y2z3

8x6y3z3

Answers

Answer:                          6      3     3

to multiply it it will be 12x    y      z

to simplply it will be the same answer

Step-by-step explanation:

the number at the top is the exponents i dont know how to put them in the correct spot

Find the Slope (-2,9) (-3,8)

Answers

Answer:

no, im not doing your work

Step-by-step explanation:

how do i use this app???

Help...Anybody know??

Answers

Answer:

The missing number is 16

2, 4, 8, 16 , 32, 64

The sequence has a factor of 2 between each number . Each term ( except the first term) is found by multiplying the previous term by 2

I hope it helps

Express 6 3/4 in simplest radical form

Answers

Answer:

4√6^3

Step-by-step explanation:

hope this helps

Answer:

27/4

Step-by-step explanation:

What shape will the vertical cross-section of
a cube be?

Answers

Answer:

a triangle;

Three faces of the cube meet to form the vertex, so the cross section is a two-dimensional figure with three sides

Step-by-step explanation:

What kind of sequence is this? –164, –149, –134, –119

Answers

Answer:

Least to greatest?????

At what value of x does the graph of the following function F(x) have a vertical asymptote?

Answers

B. 3

__________________

Sunita creates a scale model of an aeroplane. The scale of the model is 4 cm to 15 m. Sunita's model has a wingspan of 17 cm. What is the wingspan of the real aeroplane?

Answers

Answer:

36.43m

Step-by-step explanation:

Let the wingspan of the real aeroplane = x

The scale of the model is 4 cm to 15 m.

= 4: 15 = 4/15.

Sunita's model has a wingspan of 17cm.

Hence:

4cm/15m = 17cm/xm

Cross Multiply

4x = 15 × 17

4x = 255

x = 255/4

x = 36.428571429 m

Approximately = 36.43 m

Therefore, the wingspan of the real aeroplane is 36.43m

Randy wanted to survey to determine the most preferred pet of the residents in his city. Which method of sampling BEST represents the most unbiased opinion?

A) Survey 50 residents from 5 different areas

B) Survey 100 residents who have pets

C) Survey 100 residents who do not have pets

D) Survey 50 residents in his are who but per food regularly from the supermarket

Answers

Answer:

B

Step-by-step explanation:

4(8m - 7n) + 6(3n -4m)​

Answers

Answer: 8m  -  10n

Step-by-step explanation:

Answer:

28m-10n

Step-by-step explanation:

start by multiplying 4 by (8m-7n) and 6 by (3n-4m)

This will then give you 32m-28n and 18n-24m

Then, add the two answers together

32m-28n+18n-4m

This will give you your final answer of: 28m-10n

2x – 3y = -5
у = х – 1
y=?
x=?
HELP

Answers

Answer:

Y = 1

X= -1

Step-by-step explanation:

Y is 3 so x is 2 and if y = x then x - 1 would be one and then that would make y = 1

X is 2 - y which is 3 will equal -1

Answer:

Step-by-step explanation:

2x – 3y = -5.........(i)

у = х – 1................(ii)

Multiply equation (ii) by 3,

3у = 3х – 3.......(iii)

Add (i) and (iii)

2x – 3y = -5

+

-3x + 3y = – 3

=

-x = -8

x = 8

put the value of x in eq (ii)

у = х – 1

у = 8 – 1

y = 7

Do mark me as brainly. Thanks

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