Which statement best describes whether the function is linear or nonlinear?

Which Statement Best Describes Whether The Function Is Linear Or Nonlinear?

Answers

Answer 1

Answer:

Is nonlinear because the common ratio is 3

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Now to this problem, if the data corresponds to a linear equation, then for any set of points we choose we should see the same slope.

For example, if we choose the first and second points:

(0,20) and (1, 60) the slope is:

a = (60 - 20)/(1 - 0) = 40/1 = 40

a = 40

Now if we choose the first and third points:

(0, 20) and (2, 180)

The slope is:

a = (180 - 20)/(2 - 0) = (160/2) = 80

So the slopes are different, which means that this function is nonlinear.

If we look at the f(x) values for the second point onwards, we can see that:

f(2) = 60

f(3) = 60*3 = 180

f(4) = 180*3 = 540

f(5) = 540*3 = 1620

and so on.

So this seems to be an exponential function with a common ratio of 3 between consecutive outputs.

Having a common ratio is not a property of linear functions, then the correct options is:

"Is nonlinear because the common ratio is 3"


Related Questions

A line passes through the point (6,-4) and has a slope of 3/2 I Write an equation in point-slope form for this line.​

Answers

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).

HOPE THIS HELPS

Which input value produces the same output value for the two functions on the graph?

Answers

Answer:

x=3

Step-by-step explanation:

Please make sure to add more information to the question next time. I had to do some research to find which question you are talking about. I hope this is one of the answer options because you didnt provide any of the answer options. Thanks :)

the intersection of the two lines of a function both equations have the same x and y

therefore,

x=3

Please answer this thanks

(●´⌓`●)(●´⌓`●)(●´⌓`●)​

Answers

Answer:

1) A

2) A

3) D

4) B

5) D

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

If any 2 parallel lines are cut by a transversal line , then :-

its corresponding angles on same side [a pair of an interior angle and it's corresponding exterior angle (but not its adjacent exterior angle)] are equal.its alternate interior angles are equal.its alternate exterior angles are equal.

__________________________________________________________

Q1)

According to the figure on the right side of the question paper ,

∠2 & ∠8 are interior angles on the same side∠2 = ∠7 (∵ Alternate interior angles are equal)

So,

∠7 + ∠8 = 180°

⇒ ∠2 + ∠8 = 180°    (∵ ∠2 = ∠7)

Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.

Q2)

According to the figure on the question paper ,

∠5 & ∠3 are exterior angles on the same side∠1 = ∠5 (∵ Corresponding angles are equal)

So ,

∠1 + ∠3 = 180°

⇒ ∠5 + ∠3 = 180°  (∵ ∠1 = ∠5)

Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.

Q3)

According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.

Q4)

According to the figure , m∠1 = 129°.

Also , ∠1 & ∠7 are interior angles on the same side.

⇒ They are supplementary angles.

⇒ ∠1 + ∠7 = 180°

∠7 = 180° - 129° = 51°

So , the correct option is B.

Q5)

According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20

Also , ∠2 = ∠6 (∵ Corresponding angles are equal)

⇒ 3x - 10 = 2x + 20

⇒ 3x - 2x = 20 + 10

⇒ x = 30

So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)

Hence , the correct option is D.

what is the approximate length of hypotenuse with a 35 degree angle and one leg is 12

Answers

Answer:

37

Step-by-step explanation:

35^2+12^2=37

What is the slope of the line in the graph?

Answers

the slope is 1

the equation of the line is y=x+1

Express the quantity "14 revolutions per second" in radians per second. Write your
answers in terms of a
A. 28n rad/sec
C. 18n rad/sec
B. 52n rad/sec
D. 32n rad/sec

Answers

[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]

A).28n rad/sec

35=11x. i need help

Answers

Answer:

x= 35/11

Step-by-step explanation:

steps

35 = 11x

swich sides

11x = 35

Divide both sides by 11

11x/11 = 35/11

simplify

x = 35/11

Your answer
PLS SOMEONE HELP AND NO LINKS PLS

Answers

Answer:

71

Step-by-step explanation:)

I need help with this ​

Answers

Hopes this helps:

Answer: E. 7/12

How I know I use this app called Cymath.

a ribbon is 4m long. how many pieces each of 30cm long can be cut from the ribbon​

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

4 m is 400 cm, so the number that can be cut is ...

  (400 cm)/(30 cm/piece) = 13 1/2 pieces

13 pieces can be cut that are 30 cm long.

Answer:

13 whole pieces

Step-by-step explanation:

4m=400cm

400cm÷30cm=13.333333

you can't get 0.33333333(goes on forever) of a ribbon so its 13

hope this helps:)

Solve this system of equations by substitution.
y = 4x

2x + y = 6

Answers

blah blah blah multiply input divide
x=1
y=4
Ordered pair= (1,4)

Solve the following


NO BOTS OR PEOPLE WANTING POINTS

Answers

Answer:

-1

Step-by-step explanation:

Can somebody please help me!!!!!

Answers

Answer:

Varies

Step-by-step explanation:

What this question is asking you to do is to measure the angle of the blue dot and find the 90 degree angle, so you need to get a protractor and measure the 90 degree angle in order to get the answer

Answer:

Step-by-step explanation:

What is the statement for step 3?
A. LA congruent to PC
B. angle L congruent to angle P
C. CA congruent to CA
D. CL congruent to PC

Answers

Answer:  moles gastronomy

Step-by-step explanation: oioiooi Baka

Answer:

4g

Step-by-step explanation:

Test Pythagorean Theorem
> Chemistry: Periodic Table of Elen
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K12 K12.com KAR OLS Login RMy Info K12 Customer Supp. > Class Connect LogMeln 123 Microsoft Office 365
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Unit Test: Pythagorean Theorem
UNIT TEST:
Pythagorean Theorem
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ABCD is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters.
What is the length of the other leg?
Enter your answer, as a decimal rounded to the nearest tenth, in the box

Answers

Answer:

11.31 cm

Step-by-step explanation:

you got the k12 link to

plus you wanna get on my animal crossing island

the dodo code is 98GVY

A rectangular garden measures 26ft by 37ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.

Answers

With the 2 ft extra border the garden measure 28x39 = 1092
Without the border. 26x37= 962

1092-962 = 130

The area of this path is 130 squared feet

Hey I have tests tmrw that determine wether or not i can go to highschool and ive been struggling with my classes do yall know any websites that provide sample tests and such

Answers

Khan Academy, which is free, is a great website with practice (and tests along the way)! It has every subject imaginable! If you are willing to pay, try IXL for Math (and English).

Honestly, just search on the internet the subject you need and you’ll find a lot of stuff.

I hope you do well!

Answer:

Umm, it test to go into high school is pretty simple

Step-by-step explanation:

Just go with your gut, because its very simple, believe in your self and don't double guess yourself! I believe in you, and Good Luck!

Ps. here is a amazing math solver that solves most of your math problems

https://www.symbolab.com/solver/step-by-step/42%20%2B%207x%20-%5Cleft(2x%20-38%5Cright)%3D0

3% as a fraction
a- 1/50
b-3/100
c-30/100

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

100 represents a whole amount so the numerator would be 3 over 100 because it is 3% out of a total of 100.

Is 3 tens more than 25 ones

Answers

Answer:

yes ofc  boiiiiii 3 tens=30 ones boiiii and 25 ones=2 tens and 5 ones boiiiii

Step-by-step explanation:

yes,3 tens= 30 dollars and 25 ones= 25 dollars.

PLEASE ANSWER ILL GIVE YOU BRAINLIEST

Answers

Answer:

i think its 28.27

Step-by-step explanation:

Step-by-step explanation:

[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]

Volume = 3.14×2.25×4 = 28.26 yd³

would anoyone be willing to help

Answers

Sure, what do you need help with?

1. Which of the following sets of integers is arranged in order from LEAST to GREATEST?
Oi-1.5 - 9
O (1. - 5. - 10)
O (12. - 8,0)
O { - 13. - 12,9)

Answers

Answer:

Last option:

(-13, -12, 9)

Step-by-step explanation:

Here you need to look at a number line.

(an infinite line with the zero in the middle, at the left we have the negative numbers which increase to the left, and at the right, we have the positive numbers that increase to the right)

for any two pair of numbers in the number line, the number at the right is larger than the number at the left.

So for example, -10 is at the left of -3

Then:

-10 < -3.

Then a set is ordered from least to greatest if:

first we have the largest negative numbers

then the smaller negative numbers

then the zero (if there is a zero)

then the smaller positive numbers

then the largest positive numbers.

The only set that meets this condition is the last one:

(-13, -12, 9)

Why the others not meet this condition?

in the first one we have -9 after 5, and we know that -9 < 5

in the second one we actually have an order from greatest to least.

in the third one we have -8 at the right of 12, and we know that -8 < 12

For the following system, if you isolated x in the second equation to use the subsition method, what expression would you subsitute into the first equation?

2x + y = 8
-x - 3y = -12

A. 3y + 12
B. -3y + 12
C. 3y - 12
D. -3y - 12​

Answers

A.3y+12

i think so,or maybe D or B

(ILL MARK YOU AS BRAINLEST) The ratio of the interior angles of a triangle is 1: 1: 4 What are the angles measures? Write the angel measures from least to greatest.

Answers

Answer:

30 degrees,30 degrees120, degrees

Step-by-step explanation:

The ratio of the angles is 1:1:4.

Let’s represent the angles by 1x, 1x, and 4x.

The sum of the interior angles of a triangle is 180°.

1x + 1x +4x = 180    Combine like terms.

           6 x = 180    Divide each side by 6

               x = 30°

1x=1*30=30 degrees

1x=1*30=30 degrees

4x=4*30=120 desgrees

Answer:

30, 30, 120

Step-by-step explanation:

Basic properties of a triangle:

Triangles have 3 sides.The sum of the interior angles of a triangle will always be equal to 180°.

The problem:

Find the angle measuresList them in least to greatestGiven information:The ratio of the angles' values are 1:1:4.

To solve:

To solve this type of problem, think of the ratio as a variable, x.The ratio would be x:x:4xGiven that revised information, the sum of the interior angles is 6x.Since the sum of the interior angles of a triangle is 180°, 6x = 180°To find x as an individual value, divide both sides of the equation by 6:-  6x = 180-  x = 30 Now, to find the angles' values, use the value of x in the ratio to solve:30 : 30 : 120The values of the ratio are your angles!Finally, list from least to greatest and the question is completely answered!

I need help please. aaaaaannnnnnnnndddddddddd thannkyou

Answers

Answer:

7:58

Step-by-step explanation:

The little hour hand is a bit past the 7. The long minute hand is closest to 12, which is 60 minuets. Just look the the mark that the little hand points at.

Jennifer recently finished paying off her $30,000 fixed-rate student loan. She paid $303.73 per month for 10 years to
complete the payments. How much interest did she pay over the duration of the loan? Round to the nearest cent

Answers

Answer:

$6,447.60

Step-by-step explanation:

Since Jennifer's monthly payment was $303.73 and she paid this amount each month for 10 years, multiply the monthly payment by the number of months in 10 years, 120, to determine the total amount that she paid.

$303.73×120=$36,447.60

Now, subtract the stated amount of the loan from the total amount paid to find the amount of interest that was paid.

$36,447.60−$30,000=$6,447.60

Therefore, Jennifer paid $6,447.60 in interest through the duration of the loan.

The total amount of interest of loan paid by Jennifer is $ 6447.60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of interest of loan paid by Jennifer be = A

So , the equation will be

Now , the amount she took as loan on fixed rate = $ 30,000

The amount of money Jennifer paid per month = $ 303.73

The total duration of time Jennifer paid off the loan = 10 years

10 years = 10 x 12 months

10 years = 120 months

So , the total amount paid back by Jennifer = Amount of money she paid per month x 120 months

Substituting the values in the equation , we get

The total amount paid back by Jennifer = 303.73 x 120

The total amount paid back by Jennifer = $ 36,447.6

Now , the loan interest amount paid by Jennifer A = total amount paid back by Jennifer - amount she took as loan on fixed rate

Substituting the values in the equation , we get

The loan interest amount paid by Jennifer A = $ 36,447.60 - $ 30,000

The loan interest amount paid by Jennifer A = $ 6447.60

Therefore , the value of A is $ 6447.60

Hence , The total amount of interest of loan paid by Jennifer is $ 6447.60

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

What is the domain of the function

Answers

The answer is -2,2,3,4

what is the surface area? 4 mm. 4 mm
4 mm​

Answers

Answer:

So its hard to tell if you want the answer to the SA of 4mm x 4mm x 4mm or the image but I did the mm one.

I got 9216 mm I wasn't sure if you need them converted to any other measurement.

What is the value of b in ax - by = -5

A. b= (ax-5)/y
B. b= 5-ax
C. b= ax-5y
D. Cant isolate b

Answers

Answer:

D,

Step-by-step explanation:

the is the value of b in ax -by =-5

D , cant isolate b

Joaquin gets paid every Friday. His paychecks for the past 8 fridays were $324, $245.25, $245.25, $245.25, $324,$324,$245.25 and $402.75 find the median

Answers

Answer:

284.625

Step-by-step explanation:

Arrange the numbers highest to lowest.

Find the middle value in the arrangement.

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