Select whether each function is linear or nonlinear.



Linear

Nonlinear

y=9(2x)


y=(5x+3)2


y=8x2


y=5x−3


y=3x2+2x−1

Answers

Answer 1

Answer:

liner Y=9(2x)  Y=5x-3

Step-by-step explanation:

Answer 2

The equations which are linear are

a) y = 9( 2x )

b) y = ( 5x + 3 )2

d) y = 5x - 3

The equations which are non linear are

c) y = 8x²

e) y = 3x² + 2x - 1

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 ,

a)

Let the equation be y = 9( 2x )

Now , on simplifying the equation , we get

y = 18x

Now , this is a linear equation in 2 variables of the from y = mx + c

So , the equation is linear

b)

Let the equation be y = ( 5x + 3 )2

Now , on simplifying the equation , we get

y = 10x + 6

Now , this is a linear equation in 2 variables of the from y = mx + c

So , the equation is linear

c)

Let the equation be y = 8x²

Now , on simplifying the equation , we get

y = 8x²

This is a quadratic equation , and is not linear

So , the equation is non linear

d)

Let the equation be y = 5x - 3

Now , on simplifying the equation , we get

y = 5x - 3

Now , this is a linear equation in 2 variables of the from y = mx + c

So , the equation is linear

e)

Let the equation be y = 3x² + 2x - 1

Now , on simplifying the equation , we get

y = 3x² + 2x - 1

This is a quadratic equation , and is not linear

So , the equation is non linear

Hence ,

The equations which are linear are y = 9( 2x ) , y = ( 5x + 3 )2 and y = 5x - 3

The equations which are non linear are y = 8x² and y = 3x² + 2x - 1

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Related Questions

Pls help me and explain why it’s that answers.

Answers

The answer is the third one


Someone please help me !!! 100 points must show work !

Answers

Answer: x is c center w and y are b center

Step-by-step explanation:

Connect the dots

Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?

Answers

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

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

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

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

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

The seventh grade enrollment at Main Middle School reduced from 615 students to 492 students. By What percentage was the number of students reduced?

Answers

Answer:

492 *100/625 =80 %

Step-by-step explanation:

Where [*]= Multiply

Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win?

Answers

Answer:

20 students

Step-by-step explanation:20 students cos 88 divided by 4 =22 and it said she had 8 left so 20 student in her class

There are 20 kids in her class. 88-8 = 80 80 divided by 4 = 20

ASAP
Determine the intercepts of the line.
y-intercept:
r-intercept:

Answers

Answer:

y=-5/7x+2.5

Step-by-step explanation:

8th grade math help me out pls

Answers

The slope of this is 0.25 or 25/100
The slope intercept form is y=0.25x+3.76
The y-intercept is 3.75

Answer:

1/4

Step-by-step explanation:

(-7 , 2) ; (9 , 6)

slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{6-2}{9-[-7]}\\\\=\frac{6-2}{9+7}\\\\= \frac{4}{16}\\\\= \frac{1}{4}[/tex]

7) let f(x)=2x squared - 5x +9
find a, b, and c
a) 1, 5, and 9
b) 2,- 5, and 9
c) 0,5, and 9
d) none of these answers is correct.

Answers

Answer:

a

Step-by-step explanation:

ITS RIGHT

PICTURE PROVIDED HERE!
What is the length of BD?
A. 2
B. 6
C. 4

Answers

Answer:

i think its a

Step-by-step explanation:

Find the result when 5 + 2 is subtracted from 9m

Answers

Answer:

-2m

Step-by-step explanation:

It is 2m merry Christmas

NEED HELP ASAP!!!!!!!!!!

Answers

ANSWER

x = 10

EXPLANATION: triangle is equilateral meaning all sides are congruent which means all angles are congruent & equal 60

6(10) = 60

Last EAST question worth 50 POINTS!


What is the simplified expression show above?

Answers

Answer:

4x+8

Step-by-step explanation:

[tex]\sf \longmapsto \: 2(2x + 5) - 3[/tex]

Distribute

[tex]\sf \longmapsto \: (2)(2x)+(2)(5)+−3[/tex]

[tex]\sf \longmapsto4x+10+−3[/tex]

Combine like terms

[tex]\sf \longmapsto4x+10+−3[/tex]

[tex]\sf \longmapsto(4x)+(10+−3)[/tex]

[tex]\sf \longmapsto4x+7[/tex]


Twice the square of a number is less than another number. Negating the square of that number and adding 5 causes
it to be larger than the other number. Which represents the solution set?

Answers

Answer:

d

Step-by-step explanation:

took it on edg

The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y

How to represent the solution set?

First, we represent the mathematical statements as an equation or inequalities

Mathematically, the statements in the questions are:

2x^2 < y-x^2 + 5 > y

Where x and y represents the two numbers

So, we plot the graphs of 2x^2 < y and -x^2 + 5 > y

The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y

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Point A is at (3,2.7) and point B is at (3,1.4) on a coordinate grid. The distance between the two points is __. Numbers and decimals only
PLEASE HELP ASAP

Answers

Answer:

The distance between the two points is 1.3

Step-by-step explanation:

Answer:

The distance between the two points is 1.3

Determine if the pair of lines are parallel perpendicular or intersecting

Answers

Answer:

1. y= 2/3x + 4, and y = 2/3x - 1 are parallel

2. y = 1/3x - 3  and y = 2x + 5 are perpendicular

3. y =2/5x +4 and y = 0.2x - 1 are intersecting

4. y = -x + 13 and y = x-14 are perpendicular

Step-by-step explanation:

The equation of lines are solved and parallel lines are

a) y = 2/3x + 4 , y = ( 2/3 )x - 1

Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5

Intersecting lines

a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

y = 2/3x + 4 , y = ( 2/3 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 2/3

So , the slopes of the two lines are same and they are parallel lines

And , y = -( 1/2 )x - 3 , y = 2x + 5

The slopes are negative reciprocals of each other , so they are perpendicular lines

Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

Hence , the equation of line is solved

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^ which equation represents the relationship shown in the table ??

Answers

Answer:

y=2x+5

Step-by-step explanation:

solve 12.8 = m - 8.3 plssssssssssss i need it

Answers

Answer:

x=21.1

Step-by-step explanation:

12.8=m -8.3

12.8+8.3=m

21.1=x

x=21.1

Answer:

your answer would be 21.1

Step-by-step explanation:

so first you would have to 8.3 to 12.8 which would give you 21.1 then divide it by m but m is one so it would be just 21.1

find the values of x and y

Answers

Answer:

61=x cortical opposite angle

61=y corresponding angle

Answer:

61=x and 61=y

Step-by-step explanation:

I think that bout right

Select the correct answer from each drop-down menu.
Consider these functions:
f(x)=1672
g(x)=īvo
>
For x = 0, the value of Agtx)) is
For x2 0. the value of g(x)) is
For x 0, functions fand g
v inverse functions.
1st drop down options:
X
4x
8x
2nd drop down:
X
4x
8x
3rd drop down:
Are
Are not
Please help I’m stuck on this test I don’t understand them!

Answers

Answer:

1.4x 2. 8x

3.  Are

hope im right

Step-by-step explanation:

Abdul buys dress pants from a clothing Company for P dollars he sells each pair of pants in his men's clothing shop at 40% markup select all the expressions below represent the new retail price of a pair of dress pants

Answers

Answer:

$P + 0.4P or 1.4P

Step-by-step explanation:

Given that:

Cost of dress pants = $P

Markup on cost price = 40%

The new retail price of a pair of dress pant :

(Cost price of the dress pant + markup on cost price)

$P + 40% of P

$P + 0.4P

New retail price = $P + 0.4P = 1.4P

At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?

Answers

Answer: Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Step-by-step explanation:

Let x = price of the Novel.

Price of Math Textbook = 8+3x

As per given , we have

Price of Math Textbook + Price of the Novel = $54

⇒ 8+3x+x = 54

⇒ 8+4x=54

⇒ 4x = 46     [subtract 8 from both sides]

⇒ x = 11.5

Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5

Hence, Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Sean is buying 9/16
pound of tea at a tea shop. The cost of tea is $24 per pound.

Answers

The cost of 9/16 pounds of tea is $13.50.

How to determine the cost of 9/16 pounds of tea

In order to determine the cost of 9/16 pounds of tea, the cost of a pound of tea would be multiplied by 9/16 pounds.

Cost of 9/16 pounds of tea = 9/16 x 24

= $216/16

= $13.50

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I need help with this please.

Answers

Answer:

1) B

2)A

Step-by-step explanation:

1) The only on that made sense really!

2) Also the only one that made sense!

Answer:

5.) b

6.)a

Step-by-step explanation:

5.) b

3x - 24 = 81 (add 24 on both sides)

3x = 105 (divide by 3 on both sides)

x = 35 or 105/3

6.) a

-5x - 25 = 78 (1st add 25 on both sides)

-5x = 103 (2nd divide both sides by -5)

x = -20.6

Hope this helps ya!!

Which letters shown below on the number line also have their opposites labeled

Answers

Where’s the number line .

(4+x) divided by 12.

im stuck heree :(

Answers

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer: 1/12 x + 1/3

Hope this helps.

Help please its not 4/9ths

Answers

the answer is -16 because a perfect square can’t be negative

Answer:

-16

Step-by-step explanation:

[tex]\dfrac{4}{9}=\left(\dfrac{2}{3}\right)^2\\\\25=5^2\\\\121=11^2\\\\-16<0!!![/tex]

The square of each real number is non-negative

what is the mean of 2 4 5 6 8

Answers

Answer:

The mean of 2 4 6 8 is 6

bc Means is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Step-by-step explanation:

Hope this helps :)

A mean is an arithmetic average of a set of observations. The mean of 2, 4, 5, 6, and 8 is 5.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean of 2, 4, 5, 6, and 8 can be written as,

Mean = (2+4+5+6+8)/5 = 25/5 = 5

Hence, the mean of 2, 4, 5, 6, and 8 is 5.

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What is the value of 3 + x when x = 19?

Answers

Answer:

Its 22

Step-by-step explanation:

x is 19

so 3+19 is 22

One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?

Answers

Answer:

27

Step-by-step explanation:

this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right

I really need help with this badly

Answers

4/5 as a percent is 0.8%
The answer is 0.8 sorry if your get it wrong
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