what is linear functions and what is non linear functions

Answers

Answer 1

Linear functions: Are the ones represented by a line in a graph. Their characteristic is that their equation has the form:

[tex]f(x)=mx+b[/tex]

Where m is the slope of the line, and b is the y-intercept of the line.

Some examples of linear functions:

[tex]\begin{gathered} f(x)=3x+2 \\ f(x)=-10x-5 \\ f(x)=9x \end{gathered}[/tex]

And some examples of graphed linear functions:

Non-linear functions: Are the functions that have an exponent on the x different from 1, and they are not represented by lines.

Some examples of non-linear functions:

[tex]\begin{gathered} f(x)=x^3+1 \\ f(x)=\frac{1}{x} \end{gathered}[/tex]

And some examples of graphed non-linear functions:

What Is Linear Functions And What Is Non Linear Functions
What Is Linear Functions And What Is Non Linear Functions

Related Questions

Henry goes to the town fair.Use the prices on the photograph to complete the table.Enter the correct answer in the box.

Answers

ANSWER

$28

EXPLANATION

We have that the entry fee is $10 and for each ride, $6 must be paid.

We want to complete the table by finding the cost of 3 rides.

First, let us represent the cost of going to the fair and taking the ride.

Let the number of rides a person takes by x.

We have that the cost of taking x rides will be the entry fee plus the cost of each ride taken:

Cost = 10 + 6x

So, for taking 3 rides, it will cost:

Cost = 10 + 6(3)

Cost = 10 + 18

Cost = $28

That is the cost of taking 3 rides.

The price of Apple stock, A(X), over a 12 month period decreased and thenincreased according to the equation A(x) = x x 0, where x equals the number ofmonths. The 2 - 6 + 2 price of Baller stock B(x), increased according to theequation B(x) = 3x + 2 over the same 12-month period. When were both stockvalues the same?

Answers

The question is: When we're both stock values the same? Then all you have to do is match both equations and solve for x, like this

[tex]\begin{gathered} A(x)=x^2-6x+20 \\ B(x)=3x+2 \\ \text{ Matching you have} \\ x^2-6x+20=3x+2 \\ \text{Subtract 3x from both sides of the equation} \\ x^2-6x+20-3x=3x+2-3x \\ x^2-9x+20=2 \end{gathered}[/tex][tex]\begin{gathered} \text{Now subtract 2 from both sides of the equation} \\ x^2-9x+20-2=2-2 \\ x^2-9x+18=0 \end{gathered}[/tex]

Factoring the trinomial you get

[tex]x^2-9x+18=(x-6)(x-3)=0[/tex]

Which implies that

[tex]\begin{gathered} x-6=0 \\ x=6 \\ \text{ or} \\ x-3=0 \\ x=3 \end{gathered}[/tex]

Therefore, since x corresponds to the number of months, then the values ​​of the two shares were equal at 3 and at 6 months.

there 3 cups of ketchup for every 1/2 cup of mustard what is the rate in cups of per ketchup per mustard

Answers

There are 3 cups of ketchup for every 1/2 cup of mustard, then the rate in cups of ketchup per cup of mustard is:

3÷1/2 = 3*2 = 6 cups of ketchup per cup of mustard

Can someone answer this for me ill give a big reward

Answers

Answer:

carol

Step-by-step explanation:

Beth’s hair can be represented as 1 since everyone else is a fraction of her hair  so we just convert the other 2 fractions to make them have the same denominator

4x3/5x3=12/15

2x5/3x5=10/15

10 is less than 12 so carol has the shortest hair

Hopes this helps please mark brainliest

To help visualize, let's say Beth's hair is 15 inches:

Beth = 15"

Abbey = 4/5 * 15" = 12"

Carol =  2/3 * 15" = 10"

Carol has the shortest hair.

What is the value of 0 in the following image

Answers

We will determine the value of theta as follows:

[tex]\begin{gathered} cos(\theta)=\frac{10}{21}\Rightarrow\theta=cos^{-1}(\frac{10}{21}) \\ \\ \Rightarrow\theta\approx61.6 \end{gathered}[/tex]

So, the measurement of the angle is approximately 61.6°.

It costs $2 to download a song and $12 to download an entire album. Jorge has $50 to spend on downloading music. Create an inequality that represents the number of songs (s ) and albums (a ) that Jorge could download.

I need a inequality

Answers

The inequality to represent the given situation is 2s+12a≤50.

Given that, it costs $2 to download a song and $12 to download an entire album.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Jorge has $50 to spend on downloading music.

Let the number of songs be s and the number of albums be a.

So, inequality to represent the given situation is

2s+12a≤50

Therefore, the inequality to represent the given situation is 2s+12a≤50.

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The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 inches. The average distance between a person’s ears is 6 inches. What is the ratio of a person’s chin to forehead distance compared to the distance between his ears?

Answers

The distance from the chin to the forehead is 1.5 times the distance between the ears.

The average person's chin-to-forehead distance is 9 inches, and the distance between human ears is 6 inches. You are asked to compare the distance from a person's chin to their forehead to the distance between their ears.

Calculation:-

We can express the given information as:9/6

9/6 = 1.5.

Average speed is calculated by dividing the total distance something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment.

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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

Can anyone tell me the answer to this problem in my picture if so ill give a high reward

Answers

Answer:

10x1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:[tex]10*4\7= \frac{40}{7} \\=5.714285714 \\\\ 10*\frac{10}{2}\\ \frac{10}{2}\\ =5 \\\\10*4\frac{2}{3} = 10*\frac{14}{3}\\\\ \frac{140}{3} = 46.66666667\\\\10*\frac{3}{4}=\\\\ \frac{30}{4} = 7.5\\\\10*\frac{9}{8}=\\\\\frac{90}{8} = 11.25\\ \\\\10X\frac{4}{7} , 10X\frac{3}{4} is the answer[/tex]

I need to help with the page I attached below!

Answers

Nishnat can trade box tops only for printer.

Nishant keeps the box tops in 38 folders.

Each folder contains 80 box tops.

Number of box tops nishant has = number of folders x number of box tops in each folder

Number of box tops nishant has = 38 x 80

Number of box tops nishant has = 3040

For printer, he needs 1500 box tops

1500 < 3040

So, he can trade box tops for a printer.

For digital camera, he needs 3500 box tops

3500 > 3040

So, he can not trade box tops for a digital camera.

For tablet computer, he needs 5000 box tops

5000 > 3040

So, he cannot trade box tops for a tablet computer,

Therefore, Nishnat can trade box tops only for printer.

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In this coordinate plane, the slope of line a is equal to the opposite reciprocal of the slope of line b.

Answers

Blank 1: [tex]\frac{k}{m}[/tex]

Blank 2: [tex]-\frac{k}{n}[/tex]

Blank 3: [tex]\frac{k}{m}=\frac{n}{k}[/tex]

Blank 4: [tex]\frac{KL}{KM}=\frac{KN}{KL}[/tex]

Blank 5: SAS similarity theorem

Blank 6-9: The options are needed

How many cups are in 8 quarts? EXPLAIN FOR 5 STARS AND MORE

Answers

Answer:

32 us cups

Step-by-step explanation:

yes yes. ik but I just know this. I ahd the same assignment

Anna saved $40 each month from babbysitting for 1 and 1/4 years. She spends 70% of her savings on a computer
how much money does she have left
( write the answer as a decimal to 2 places.)

Answers

The money left for Anna is $180 which was earned by babysitting for 15 months.

What is meant by the term percentage?To calculate a percentage, divide the value by the total value and multiply the result by 100.

For the given question;

Monthly saving of Anna is $40.

Total time of babysitting is 1 and 1/4 years.

Total time = 5/4 years = 15 months.

Total money saved = 15 × $40 = $600.

70% of the money is spent

Thus, 30 % money is left.

Find 30% of $600

= 30 × 600/ 100

= $180.

Thus, the money left for Anna is $180 which was earned by babysitting for 15 months.

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If you solve this fast I’ll name you brainliest So pls help me

Answers

Answer:

x = 23

y = 119

Step-by-step explanation:

Line m is parallel to line n and the angle given as 61 and the angle that is represented with 4x - 31 are alternate angles and have equal measurement.

We can write the following equation based on this information:

4x - 31 = 61 add 31 to both sides

4x = 92 divide both sides by 4

x = 23

now onto y,

the angle represented with y and the angle that is represented with 4x - 31 are supplementary and their measures add up to 180:

4x - 31 + y = 180 replace x with 23

4*23 - 31 + y = 180

92 - 31 + y = 180 subtract like terms

61 + y = 180 subtract 61 from both sides

y = 119

Using the remainder theorem, what is f (3)when f (x) = −2x^4 + 9x² + 2x + 10? O-92 O -65 O 43 O 73​

Answers

Answer:

Look at this attachment and it may help you

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

took the test

A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.

Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=\sqrt{9^2 + 11^2}\implies c=\sqrt{202}\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}[/tex]

Look at the simultaneous equations below.
x - 6y=10
3y² = 4x + 1
a) Show that 3y² - 24y - 41 0
=
b) Use part a) to solve the simultaneous
equations.

Answers

For x = 200, the equation 3y² - 24y - 410 is satisfied and there two possible solution sets A(66.68, 9.447) and B(1.31, - 1.447) for the given system of equations.

What is a expression? What is a mathematical equation? What is degree of a equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Degree of equation is the highest power of x in the given equation.An equation of second degree is of the form -

      f(x) = ax² + bx + c

It has two possible roots.

Given is are the following equations -

x - 6y=10

3y² = 4x + 1

It is given that -

3y² - 24y - 41  ...Eq[1]

3y² = 4x + 1

y² = (4/3)x + (1/3)

So, we can write -

3{(4/3)x + (1/3)} - 24 × √{(4/3)x + (1/3)} - 410

Refer to the graph [1] attached. We can see that, for x = 200, the equation is fulfilled.

Now, refer to the graph [2] attached. It shows there two possible solution sets.

A(66.68, 9.447)

B(1.31, - 1.447)

Therefore, for x = 200, the equation 3y² - 24y - 410 is satisfied and there two possible solution sets A(66.68, 9.447) and B(1.31, - 1.447) for the given system of equations.

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Identify the graphs of y 2|x+2|-6 and y=-2 in the same coordinate plane

Answers

The graphs of the absolute value function y = 2|x + 2| - 6 and the horizontal line y = -2 are given on the image at the end of the answer.

How to build the graphs?

The definition of the absolute value function is given as follows:

y = |x - h| + k.

In which the coordinates of the vertex are (h,k), representing the turning point of the graph of the absolute value function, the point in which the function makes the "V".

In this problem, the definition of the function is:

y = 2|x + 2| - 6.

Hence the coordinates of the vertex are:

(-2, -6).

The multiplication by 2 represents a vertical stretch but is not related to the vertex of the function.

y = -2 is a horizontal line, and the graph with these two functions is given by the image at the end of the answer.

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help meeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer: 10.8 seconds

Step-by-step explanation:

[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]

The selling price of a refrigerator, is $548.90. The markup value was 10%. How much was the refrigerator originally?

Answers

Let the original price be p.

Then

p + (10% of p) = 548.90

1.1p = 548.90

p = 548.9 / 1.1 = $499.00

Hence the refrigerator was $499.00 originally

6x+1.6=58
i dont know the answer to this

Answers

The value of x in the given equation, 6x + 1.6 = 58, is x = 9.4

Determining the value of x in an equation

From the question, we are to determine the value of x in the given equation.

The given equation is

6x + 1.6 = 58

To determine the value of x in the equation, we will determine the value of the unknown variable.

The unknown variable in the given equation is x.

Thus, we will determine the value of x.

Solving the equation for x

6x + 1.6 = 58

Subtract 1.6 from both sides of the equation

6x + 1.6 - 1.6 = 58 - 1.6

6x = 56.4

Divide both sides of the equation by 6

6x/6 = 56.4/6

x = 9.4

Hence, the equation solved for x gives x = 9.4

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3x + ( 8 )=4x ( 4 )
X=

Answers

Answer:

X = 8/13

Step-by-step explanation:

3x + 8 =4x 4

3x + 8 = 16x

3x + 8 - 8 = 16x - 8

3x - 16x - 8

X = 8/13

A spinner with 10 equally sized slices is shown below. (2 slices are red, 4 are blue, and 4 are yellow.) The dial is spun and stops on a slice at random. What is the probability that the dial stops on a slice that is not red?Write your answer as a fraction or a whole number.

Answers

We will have the following:

Since there are 8 slices that are not red, the probability will be given by:

[tex]p=\frac{8}{10}\Rightarrow p=\frac{4}{5}\Rightarrow p=0.8[/tex]

So, the probability will be of 4/5, that is 80%.

Micah has an electricity plan where he is charged a monthly fixed rate of $3.18 and a usage fee of $0.14 per kilowatt-hour. In the equation below, x represents the amount of electricity he used, and y represents the amount Micah was charged for electricity. y = $0.14x + $3.18 If Micah was charged $143.18 for electricity last month, how much electricity did he use? A. 140 kilowatt-hours B. 45 kilowatt-hours C. 1,023 kilowatt-hours D. 1,000 kilowatt-hours Reset Submit

Answers

Answer:

D. 1,000 kilowatt-hours

Step-by-step explanation:

Given:

[tex]y=0.14x+3.18[/tex]

If Micah was charged $143.18, then:

[tex]143.18=0.14x+3.18[/tex]

First, subtract 3.18 from both sides:

[tex]140.00=0.14x[/tex]

Then, divide both sides by 0.14:

[tex]1000=x[/tex]

PLEASE HELP ASAP PLEASE!!!!!!!!!​

Answers

Answer:

(4,-5)

Step-by-step explanation:

Select the correct answer.Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?A. x = -9B. X=-6C. y=-9D. y=-4

Answers

SOLUTIONS

Step-by-step explanation:

y = 1/4 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9 ) with equation

x = - 6 →

Option B

Answer:

B

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis and passing through all points with a y- coordinate of [tex]\frac{1}{4}[/tex]

A line perpendicular to it will be a vertical line parallel to the y- axis, with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (- 6, - 9 ) with x- coordinate - 6 , then

x = - 6 ← equation of perpendicular line

Which angles are coterminal with -6pie/5

Answers

4π/5 and -16π/5 are Coterminal angles with -6π/5

What is Angle?

an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle

Coterminal angles are angles that share the same initial and terminal sides. To find an angle coterminal to another you can do so by simply adding or subtracting any multiple of 360 degrees or 2 pi radians.

The given angle is -6π/5

We need to add 2π for finding coterminal angle

-6π/5+2π

4π/5

We need to subtract 2π for finding coterminal angle

-6π/5-2π

-6π-10π/5

-16π/5

Hence 4π/5 and -16π/5 are Coterminal angles with -6π/5

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Find the Area of the figure below, composed of a rectangle and one semicircle, with
another semicircle removed. Round to the nearest tenths place.
18
14
:C

PLEASE HELP 10 POINTS !!!!!!!!

Answers

Answer:

112

Step-by-step explanation:

8*14=112

3.14*4²=50.24

50.24/2=25.12

112-25.12+25.12=112

The local seven digit telephone numbers in city A have 207 as the first three digits. How many different telephone numbers are possible in City A?

Answers

Given:

There are seven total digits.

The first 3 are already selected, so there is a choice for 4 digits.

There are 10 possible choices for each of the other 4 digits, so there are a total of 10×10×10×10 choices. Therefore:

[tex]10\times10\times10\times10=10000[/tex]

Answer: 10000

What is the Associative Property of Addition?The Associative Property of Addition states that when multiplying a number times the sum of two other numbers, that number can be multiplied by each of the numbers in the sum first and then added together.The Associative Property of Addition states that when adding three or more numbers, the order in which they are added is important.The Associative Property of Addition states that when adding numbers, the order can be reversed.The Associative Property of Addition states that when adding three or more numbers, they can be grouped in any way and the result will remain the same.

Answers

The associative property of addition states that when adding numbers, the order can be reversed.

The associative property of addition says that changing the grouping of the addends does not change the sum.

For example -

[tex](3+5)+4=3+(5+4)[/tex]

Therefore, the given option (c) is correct.

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