How do I determine if this equation is a linear function or a nonlinear function?

Answers

Answer 1
A linear equation is used to represent a straight line in a graph, whereas non-linear equations are used to represent curves.

An equation is considered linear if it is in the form of  [tex]y = mx + c[/tex] where m is the slope of the equation and b is the y-intercept.

Notice how here, x can only be to the power of one. In here, the conditions are just simply m,c ∈ R.

Some examples include [tex]y = 8x + 9, 2y = x-7, 8y=0[/tex] and even some like [tex]x=4[/tex].

As you can see here, all of the following equations are represented using a straight line.

An equation is considered “non-linear” when it is not graphed using straight lines. Some examples include [tex]y = 3x^{2} +8, 4y =2x^{4}-6, y = x^{5} +86[/tex].

In conclusion, a linear equation will always be in the form of , where m is the slope of the equation, and b is the y-intercept of the equation.

Note: To determine if an equation is a linear function, it must have the form  (in which m is the slope and b is the y-intercept). A nonlinear function will not match this form.

In a linear equation, the variables appear in first degree only and terms containing products of variables are absent. But in the case of nonlinear equations, at least one variable is not of the first degree or the equation contains a product of variables.

An equation is linear if its graph forms a straight line. This will happen when the highest power of x is . Graphically, if the equation gives you a straight line then it is a linear equation. Else if it gives you a circle, or parabola, or any other conic for that matter it is a quadratic or nonlinear equation.

If the highest power of x in the equation is one then it is a linear equation else if the power of x is greater than one then it is nonlinear.

To know more about determining the equations check:

https://brainly.com/question/29913752

#SPJ4

Answer 2

We can determine if this equation is a linear function or a nonlinear function by looking at their graph.

What are linear functions and non-linear functions?

Simplify the equation as closely as possible to the form of y = ax + b.

On a Cartesian Plane, a linear function is a function where the graph is a straight line. The line can go in any direction, but it's always a straight line. The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power. When a linear function is written in its simplest form, it looks like[tex]y = a + bx[/tex], where [tex]a[/tex] and [tex]b[/tex] are both constants. For example, here are some linear functions:

y = 3 + 5x

y = 2 - 6x

y = 4x

On a cartesian plane, a non-linear function is a function where the graph is never a straight line it is always curved may be a parabola, hyperbola or something else. Non-linear functions all have atleast one variable raised to the power of two or more. There's no one formula for non-linear functions because they're all different. For example, here are some non-linear functions:

y = 3x^3 + x^2 - 7

y = 5x^5 - 3x^2 +2

We can determine if this equation is a linear function or a nonlinear function by looking at their graph.

To know more about linear and non-linear functions, check out:

https://brainly.com/question/1418397

#SPJ4


Related Questions

help with these 2 questions pls

Answers

Answer:

6 .

4X + 2 + X = 8X +2 -3X

5X+2=5X+2

0=0

The two sides of the equation are always equal ,so 3 or any other number can be a solution for it .

7.

6X+6-3X+6= X+4

3X+12= X+4

2X= -8

X= -4

Hope it was helpful .

Step-by-step explanation:

I hope that everything I have written helps you.if I'm wrong write the answers in your paper doesn't match with mine please tell me I'll try it again.

calculate the number of atoms, please help in struggling

Answers

2 aluminum atoms
1 chlorine atom
5 oxygen and hydrogen

This box plot shows the heights (in feet) of a sample of pine trees.
Pine tree heights
A pine tree that is 8 feet tall is added to the sample. How will this outlier
affect the shape of the box plot?

Answers

When a pine tree that is 8 feet tall is added to the sample, A. The new box plot will be negatively skewed.

What is negative skewness?

Negative skewness occurs when the tail of the left side of the box plot is longer than the tail on the right side.

Negative skewness highlights the risk of left tail events or negative outliers known as “black swan events.”

Thus, when a pine tree that is 8 feet tall is added to the sample, A. The new box plot will be negatively skewed.

Learn more about negative skewness at https://brainly.com/question/20378699

#SPJ1

Answer:

A

hope this helps

Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......

Answers

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

:

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

Subtracting fractions with unlike denominators

Answers

Answer:

1/3 is your correct answer

Step-by-step explanation:

Steps  for Subtracting Fractions with Unlike Denominators

Identify the least common denominator by finding the least common multiple for the denominators.

Write equivalent fractions (making sure that each equivalent fraction contains the least common denominator (LCM))

Subtract the numerators of the equivalent fractions that you wrote in step 2. (The denominators should now be the same.)

Simplify if necessary.

Please mark me brainliest!

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Reduce the 4/8 to 1/2

Convert the fractions with the least common denominator

by multiplying 3 to 1/2

5/6-3/6

Subtract

2/6

Simplify

1/3

Please Help Me In This. ASAP! I'll Give brainliest!!!!
- Use the drop-down menus to complete the statements about inertia, Earth, and the moon.
The moon’s _____ tries to push it off into space in a straight line, but Earth’s _____ keeps the moon in orbit.

The moon and Earth are similar in that they both orbit around a body with
_____ mass.

Answers

Answer:

1. Inertia

2. Gravity

3. Greater

Step-by-step explanation:

You're welcome :3

Answer:

1. inertia

2. gravity

3. greater

Step-by-step explanation:

They are right I even checked them after

Decide whether QRST and you UVWX are similar.

Answers

Answer:

no

Step-by-step explanation:

Answer:

They are not similar.

Step-by-step explanation:

Let's compare 2 sides of QRST and the 2 corresponding sides in UVWX, and set up a side length ratio.

20/19 = 15/7. If these ratios are equal the shapes are similar, but the ratios obviously aren't.

Sooo....the shapes aren't similar.

Find the slope of the line

Answers

Answer:

Slope is undefined.

Step-by-step explanation:

Slope of 0 is a horizontal line.

Slope of undefined is a vertical line.

Any other slope is something in between.

Answer:

(A) undefined

Step-by-step explanation:

Here’s a little trick

If the line is horizontal, the slope is always 0

While if the line is vertical, the slope is always undefined.

In other words, if you can walk on the line, its 0 if you can’t its undefined

Issac shovels driveways to earn money. He can shovel 14 driveways in 8 hours. Earns $25.00 for each driveway. Issac is saving up to buy a new computer that costs $831.25. How many hours does Issac need to work to earn enough money to purchase the computer?

Answers

Answer:

19 hours

Step-by-step explanation:

Issac shovels driveways to earn money. He can shovel 14 driveways in 8 hours. Earns $25.00 for each driveway. Issac is saving up to buy a new computer that costs $831.25. How many hours does Issac need to work to earn enough money to purchase the computer?

Step 1 find the number of driveways to shovel

25x = $831.25

x = $831.25/25

= 33.25 driveways

Step 2

He can shovel

14 driveways = 8 hours

33.25 driveways = x

Cross Multiply

14x = 8 × 33.25

x = 8 × 33.25/14

x = 19 hours

Write the equation of each circle. center at (-4, 3), radius 9

Answers

Answer:

(x-h)²+(y-k)²=r²

putting respective value

(x--4)²+(y-3)²=9²

(x+4)²+(y-3)²=81

Answer:

(x + 4)^2 + (y - 3)^2 = 9^2

Step-by-step explanation:

Here our center is at (-4, 3), so h = -4 and k = 3.  Radius, r, is 9.

Insert these values into the standard equation of a circle centered at (h, k) with radius r:

(x - h)^2 + (y - k)^2 = r^2 becomes:

(x + 4)^2 + (y - 3)^2 = 9^2

Quanto é 100cm em metros?

Answers

Answer:

1 metro hace 100 cm

Step-by-step explanation:

100* 10^-2m

What is the area of this rectangle? A rectangle that is partitioned into two rectangles. The first rectangle has a measurement of five meters along the top, and a measurement of eight meters along the side. The second rectangle has a measurement of five meters along the top, and a measurment of eight meters along the side. 50 square meters 60 square meters 70 square meters 80 square meters

Answers

Answer:

80 square meters

Step-by-step explanation:

A rectangle that is partitioned into two rectangles; rectangle A and rectangle B

Rectangle A:

Top = 5 meters

Side = 8 meters

Area of rectangle A = length × width

= 5 meters × 8 meters

= 40 meters ²

Rectangle B:

Top = 5 meters

Side = 8 meters

Area of rectangle B = length × width

= 5 meters × 8 meters

= 40 meters ²

Total area of the partitioned rectangle = area of rectangle A + area of rectangle B

= 40 meters ² + 40 meters ²

= 80 meters ²

3a=a+36 find the value of a

Answers

Answer:

a=18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Step 1: Write out your equation

3a=a+36

Step 2: Subtract a on both sides

2a=36

Step 3: Divide by 2 on both sides

a=18

Hope I helped

This table shows how many male and female students attended two different

movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479

Answers

Answer:

the correct answer is

229/479 = 0.48

The probability that a randomly chosen person from this group is male is 0.48.

What is the probability that a male is chosen?

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability of choosing a male = number of males / total number of males and females

229/479 = 0.48

To learn more about frequency tables, please check: https://brainly.com/question/26577861

Decide whether each fraction is equivalent to a whole number. show or explain your reasoning. You can use the number lines if they are helpful to you.
a. 12/6
b. 12/8
c. 24/2
d. 10/3
e. 5/1
f. 16/4
g. 11/2

Answers

The correct numbers are a. c. e. and f. The rest are incorrect. Hope this helped

Od
33
Question 9 (1 point)
In the middle school PTA there is a total of 47 men and women. The number of women
in the PTA is 2 more than four times the number of men. How many women are in the
PTA?
a
42
38
ОООО
30
d
35

Answers

Answer:

38 women

Step-by-step explanation:

Question 9 (1 point)

In the middle school PTA there is a total of 47 men and women. The number of women the PTA is 2 more than four times the number of men. How many women are in the

PTA?

Let the number of men = x

Let the number of women = y

x + y = 47

y = 2 + 4x

We substitute

x + 2 + 4x = 47

Collect like terms

5x = 47 - 2

5x = 45

x = 45/5 = 9

y = 2 + 4x

y = 2 + 4 × 9

y = 2 + 36

y = 38

Therefore, the number of women = y = 38 women

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

24f2+11

Answers

Answer:

24t^2 + 11

Step-by-step explanation:

There is a lot left out of this question. If you are allowed rational numbers, a common factor could be 24.

24(t^2 + 11/24) is one possibility.

I think what you mean is there an integer that is a common factor. There is not.

So the answer is 24t^2 + 11

There is one more thing that needs to be clarified. Can you give t a value? If you can, then t = 11

the common factor would be

11(24 * 11 + 1)

I doubt very much that this is what is meant, but the question really should make it clear.

Answer:

1(24f²+11) is your answer

Step-by-step explanation:

24f2+11

taking common

1(24f²+11)

40 points!
You are framing a picture with a frame of equal width on each side.

a. Write a polynomial that represents the area of the picture including the frame

b. Find the area of the picture including the frame when the width of the frame is 2 inches

Answers

Answer:

Part A)

The polynomial is:

[tex]A=4(x+8)(x+10)[/tex]

Or, expanded:

[tex]A=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.

Step-by-step explanation:

Part A)

For solely the picture, the width is 16 inches, and the length is 20 inches.

If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.

Likewise, the new length will be (20 + 2x) inches.

The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:

[tex]A=(16+2x)(20+2x)[/tex]

To simplify calculations, we can factor out a two from both factors. Thus:

[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]

Expanded, this will be:

[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two, x = 2. Then the area is:

[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]

The area of the picture including the frame will be 480 square inches.


(6,3); (1,4)

Slope

Giving brainless answer

Answers

Answer:

-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5

Step-by-step explanation:

To amend a​ country's constitution, 5 6 of the 52 states in that country must approve the amendment. If 44 states approve an​ amendment, will the constitution be​ amended

Answers

Answer: Yes. It will be amended

Step-by-step explanation:

Since 5/6 of the 52 states in a country must approve the amendment before the country's constitution is amended, then the number of states that must approve it will be:

= 5/6 × 52

= 43.33

= 43 approximately

Since 44 states approve an​ amendment, the constitution be​ amended since it's more than 5/6 of the 52 states.

helppppppppppppppppppppp plzzzzzzzzzzz answer

Answers

Answer:

Maria randomly selects a number from the list of numbers below.

56, 90, 88, 76, 12

What is the probability that she selects an even number?

Step-by-step explanation:

so fd jwshydd +3 b4--

Answer:

3/2

Step-by-step explanation:

4x+17=23

-17 on both sides

4x=6

divided by 4

x=3/2

What is the value of s?
_______units

Answers

Answer:

it's asking for hypothesis your answer is in the picture

Solve for x. Round answer to the nearest tenth.
17
54°
х

Answers

The question is unclear. Maybe you can edit it?

It’s timed can sb please help me

Answers

Answer:

D

Step-by-step explanation:

The intersection of the graphs is at (-3,4).

Answer:

(-3,4)

Step-by-step explanation:

we have to find the point in common of the two lines, that is where they intercept.

when we write a point, we have to sign first the coordinate of the x, and then the coordinate of the y.

So the answer is : (-3,4)

mehh need help withh this
problem

Answers

Answer:

the answer is D

Step-by-step explanation:

hope it helps

Your answer would be letter D : 1.601 x 10^9

e) What fraction is equal to 50% of
1/6
?

Answers

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

50/100*1/6

1/12

HELPPPPP PLSSSSSSSSSS PLSSSSSSSS DRFTGYHUYGTFRDCGV PLSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLSSSSSSSSSSSSSSSSSSSSSS FRTGYHUJTRCVBJHGB ASAPP PLSSSSSSSSS NNOWWW FGHUJIKHTFVBNGB.

Answers

Answer:

B, C, and D

Step-by-step explanation:

They are both true the ones I said.

B c d are the right ones

Find the perimeter of the trapezoid. ROUND YOUR ANSWER TO THE
NEAREST TENTH (One number past the decimal.)

Answers

Answer:

49.41

Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom +   left side + square root of right side squared.

Mrs. Cravens did an experiment where she recorded the number of minutes each student studied and the score the student made on the test. She calculated a correlation coefficient of r = 0.84. Which best describes the association between the number of hours spent studying and the test score, based on Mrs. Craven's findings?

A: Weak Negative
B: Strong Negative
C: Weak Positive
D: Strong Positive

Answers

D: Strong positive because 0.84 it close to 1 and is not a negative association

Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).

Answers

Answer:1

Step-by-step explanation:

4x-4x+4=4h(x)

4=4h(x)

h(x)=1

h(-3)h(-3)=(1)(1)=1

Other Questions
An allusion is a direct or indirect reference to something historical, literacy, religious, or mythical. Allusions can help people see unique connections between two ideas. Read the following passage: The stray cat stalked down the street. Her walk was proud - she barely flinched when a car on the corner backfired. She reached the end of the street and made one majestic leap to the top of an open can, where with great dignity, she settled over a meal of broken bones, a back alley Cleopatra. Which detail from the text contains an allusion What is the biological impact of minimum catch sizes on a population of fish? a. The population comes to be dominated by smaller, slower-growing individuals. b. Older, less productive adults are removed, improving the populations health. c. It applies a selective pressure for larger, faster growing fish. d. The fish in the population produce more and healthier eggs to compensate. Which question should you ask when evaluating a work of literature?What is the theme of this work of literature?Which part of this work of literature is easiest to read?How well has this author accomplished his or her purpose?What would happen in a sequel to this work of literature? In the hydrogenation of ethylene using a nickel catalyst, the initial concentration of ethylene is 1.65 molL1 and its rate constant (k) is 0.0014 molL1s1 . Determine the rate of reaction if it follows a zero-order reaction mechanism. In Native American cultures, storytelling as an art form was generally restricted to adult male participants.PLEASE PLEASE HELP THIS IS TIMEDTrueFalse PLZZ ANSWER DUE IN 1 MIN The front of the door to Ruebens classroom is arectangle with an area of 2,688 square inches.If the width of the front of the door is 32 inches,what should be the measure of the height? 22. A carton of milk holds 10 cups. A recitefor strawberry milkshakes requires 3/4 of a cupof milk. How many recipes could you makewith the carton of milk? Ok so I have to write this question again or repost it.. ANYWAY can someone help me the picture is the question with the AVAILABLE answer. Which expression is equivalent to 91 + 39? (A) 13(7 + 39) (B) 3(30 + 13) (C) 13(7 + 3) (D) 7(13 + 6) PLZ HELP :( According to the types of nonverbal communication, what is Jimmy Valvano doing effectively in his famous ESPYs speech? Explain your reasoning.https://youtu.be/HuoVM9nm42E :(( can you please help i need it today Scott was looking at the results of a cross between red and white flowers. Which is the most likely result of a cross that demonstrates incomplete dominance? If a virtual image is formed 10.0 cm along the principle axis from a convex mirror of focal length-15.0 cm, how far is the object from the mirror Can someone please help me with math. Help me with this question please! State if the three numbers can be the measures of the sides of a triangle.689No or Yes FINAL PROJECT 2 Fill in the missing areas for Claire's garden table:x 1 2 3 4 5y 14 13 12 11 10A 50If you have the answers for this one please list all of them below with the answer for the table (if you took the test) I will give Brainly plzzz ASAP Which of the following is a participial phrase?A : Crying without endB : Because he was afraid of the dark.C: She dared to dreamD : He played Please help me fast i need help please