Jennifer received a coupon for 40% off her purchase of a regularly priced item from her favorite
store. If Jennifer wants to order a shirt from the store that is originally $30, how much would
she have to pay for the shirt after the coupon?

so i will not give you the answer i will teach you how to do it.

In Mathematics, you must have learned about different types of equations. Here, we are going to discuss the difference between linear and nonlinear equations. The difference between them described here with the help of definitions and examples.

We come across a lot of equations while solving maths problems. Some equations include only numbers and some consist of only variables and some consists of both numbers and variables. Linear and nonlinear equations usually consist of numbers and variables.

Definition of Linear and Non-Linear Equation

Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such which does not form a straight line. It looks like a curve in a graph and has a variable slope value.

The major difference between linear and nonlinear equations is given here for the students to understand it in a more natural way. The differences are provided in a tabular form with examples.

What is the difference between Linear and Nonlinear Equations?

To find the difference between the two equations, i.e. linear and nonlinear, one should know the definitions for them. So, let us define and see the difference between them.

Linear Equations  

Non-Linear Equations

It forms a straight line or represents the equation for the straight line It does not form a straight line but forms a curve.

It has only one degree. Or we can also define it as an equation having the maximum degree 1. A nonlinear equation has the degree as 2 or more than 2, but not less than 2.

All these equations form a straight line in XY plane. These lines can be extended to any direction but in a straight form. It forms a curve and if we increase the value of the degree, the curvature of the graph increases.

The general representation of linear equation is;

y = mx +c

Where x and y are the variables, m is the slope of the line and c is a constant value.

The general representation of nonlinear equations is;

ax2 + by2 = c

Where x and y are the variables and a,b and c are the constant values

Examples:

10x = 1

9y + x + 2 = 0

4y = 3x

99x + 12 = 23 and

Examples:

x2+y2 = 1

x2 + 12xy + y2 = 0

x2+x+2 = 25

Note:

The linear equation has only one variable usually and if any equation has two variables in it, then the equation is defined as a Linear equation in two variables. For example, 5x + 2 = 1 is Linear equation in one variable. But 5x + 2y = 1 is a Linear equation in two variables.

Let us see some examples based on these concepts.

Solved Examples

Example: Solve the linear equation 3x+9 = 2x + 18.

Solution: Given, 3x+9 = 2x + 18

⇒ 3x - 2x = 18 - 9

⇒ x = 9

Example: Solve the nonlinear equation x+2y = 1 and x = y.

Solution: Given, x+2y = 1

x = y

By putting the value of x in the first equation we get,

⇒ y + 2y = 1

⇒ 3y = 1

⇒ y = ⅓

∴ x = y = ⅓

What is the key difference between non-linear and linear equations?

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

How does the graph of linear and non-linear equations look?

A linear equation graph is a constant slope whereas the graph of the non-linear equation shows the variation in slope at different points.

How is the linear equation represented? Give an example.

The general representation of linear equation is y = mx+c,

where m = slope of the line

x and y are the variables

c is the intercept (constant value)

Example: 2x+y=1

y=-2x+1

How is the nonlinear equation formed?

A non-linear equation is generally given by ax2+by2 = c

where x and y are variables

a,b and c are constant values.

Answer:

-6k - 5

Step-by-step explanation:

I hope this helps!

Answer:

2.75

Step-by-step explanation:

Here, we want to find which part of the formula corresponds to the cost of movie tickets in 1980

The expression to find the cost is

2.75 + 0.10x

Now, x is the time since 1980

1980 is thus the starting position. The value of x at this point is 0, we simply thus make a substitution;

2.75 + 0.1(0)

=

2.75

The interpretation of the given model is required.

The cost of a movie ticket in the year 1980 was $2.75.

The given expression is

[tex]y=2.75+0.1x[/tex]

The point slope form of a line is

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

where,

m = Slope

c = Y intercept

The cost of movie ticket increases by $0.10 every year after 1980.

Here, [tex]x[/tex] is the number of years that have passed after 1980.

So, when [tex]x=0[/tex] it will correspond to the cost of ticket in 1980.

[tex]y=2.75+0.1\times 0\\\Rightarrow y=2.75[/tex]

The cost of a movie ticket in the year 1980 was $2.75.

Learn more:

https://brainly.com/question/7590971?referrer=searchResults

Answer:

the square root of 10 is the answer becuase that = 3.16 and pi is 3.14

Step-by-step explanation:

Answer:

A. -1008

Step-by-step explanation:

9x-4=-36

-36x-4=-144

-144x-7=-1008

Answer:

just go on playstore and search for photomath

Step-by-step explanation:

Issun Sengeki... Messatsu!

In my opinion, I'd say A and C aren't functions, but B is a function.

The reason being is because every "X" value has a "Y" value. For those that don't have exactly 1 "Y" value aren't functions.

Hope this helps!

Quote:

"The answer lies in the heart of battle."

- Ryu

Answer:

The length is 42 inches and the width is 14 inches

Step-by-step explanation:

You know the width is 1/3 of the length, and the length is basically the longer side of a rectangle. The width is y-4, so multiply using distributive property to get 3y-12.

You now know that the 2y+6 is equal to 3y-12, so you add 12 to both sides using additive property of addition to get 2y+18=3y.

Then you subtract 2y from both sides to get the unit value of y.

Y is equal to 18.

Then you can plug 18 into the y's to get

2(18)+6 which is 36+6 = 42

18-4   = 14

There you go.

The length is the longer side which is 42 inches and the width is 14 inches

Hope this helps!

Answer: $5.36 per book

Answer:

$5.36 is the unit rate

Step-by-step explanation:

32.16/6=5.36

Answer:

Step-by-step explanation:

d /d x [ a ^x ]

= d/ d x [ e ^ln ( a ) x ]

= e ^ln ( a ) x ⋅ d /d x [ ln ( a ) x ]

= e ^ln ( a ) x ⋅ ln ( a ) ⋅ d /d x [ x]

= e ^ln (a ) x ln ( a ) ⋅ 1

= ln ( a ) e ^ln ( a ) x

Rewrite/simplify:

= a ^x ln ( a )

Answer:

x = -1

Step-by-step explanation:

distribute:

3x + 3 = -2 (x -1) -4

distribute:

3x + 3 = -2x + 2 - 4

calculate difference:

3x + 3 = -2x - 2

move variable to left and change sign

3x + 2x + 3 = -2

3x + 2x = 2 - 3

collect like terms

5x = -2 - 3

5x = -5

x = -1

Answer:

x = -1

Step-by-step explanation:

3 ( x + 1 ) = -2 ( x - 1 ) - 4

distibute

3x + 3 = -2x + 2 - 4

simplify

3x + 3 = -2x - 2

inverse operations

3x + 3 = -2x - 2

+2x        +2x

5x + 3 = -2

    -3      -3

5x = -5

/5     /5

x = -1

Answer:

X-10

Step-by-step explanation: i dont really know what ur asking tho

Answer:

x - 10

Step-by-step explanation:

a number is used as a variable and "the difference" means subtraction

Answer:

157.5 pages

Step-by-step explanation:

First, find your rate. You want to know how many pages you can read per minute. We can use any nuber, but using 2 minutes will be the simplest solution:

2m = 7

---      ---      <---- Here we divide both sides of the equal sign by 2

2        2

m = 3.5 <---- we read 3.5 pages per minute

45 x 3.5 = 157.5 (We multiplied 45 because it's the number of minutes we have, by the 3.5 pages we read each minute. This gives us our total of 157.5 pages in 45 minutes.

Answer: Y=-5/2x+5(Idk i'm doing it off of my head)

Answer:

y=5/2x -5 slope is 5/2

Step-by-step explanation:

parallel lines have the same slope

2(x + 4) - 3(x -5) = 2x + 8 - 3x + 15 = 23 - x

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tanx = [tex]\frac{sinx}{cosx}[/tex] , sin²x + cos²x = 1, secx = [tex]\frac{1}{cosx}[/tex]

Consider left side

tanAsinA + cosA

= [tex]\frac{sinA}{cosA}[/tex] × sinA + cosA

= [tex]\frac{sin^2A}{cosA}[/tex] + cosA

[tex]\frac{sin^2A+cos^2A}{cosA}[/tex]

= [tex]\frac{1}{cosA}[/tex]

= secA = right side , thus proven

Answer:

26y + 42

Step-by-step explanation:

Using your example, you would break down the equation into the simplest form by combining like terms.

8y + 6(3y + 7) ← multiple what's in parenthesis by 6

8y + 18y + 42 ← Combine like terms

26y + 42

Answer:

Y=-5/4+5

=5/4

Step-by-step explanation:

First lets put it into proper form

we get Y=-5/4+5

Then lets locate the slope which is -5/4

Thats your slope

Answer:the one going in a positive direction. so up lIke this /

Answer:

the bottom left choice,

positive graphs show the points going from bottom left of the graph to the upper right of it

negative correlation shows the opposite, points from the upper left to the lower right

Step-by-step explanation:

Answer:

k=29

Step-by-step explanation:

Answer:

-4x+y=-22

Step-by-step explanation:

-4x +y= -22  is the equation of this line in Standard Form .

What is in slope-intercept form?

m = 4

the point =  (5, -2)

the equation of this line

          y - y₁ = m ( x - x₁)

          y - ( -2 ) = 4 ( x - 5 )

          y + 2 = 4( x - 5 )

           y + 2 = 4x - 20

            y = 4x - 20 - 2

            y = 4x - 22

          -4x +y= -22

Learn more about slope-intercept form

brainly.com/question/9682526

#SPJ2

Answer:

The answer is no.

Answer:

x2

Step-by-step explanation:

you multiply 1x2 to get 2 and multiple 3x2 to get 6

pls mark brainly :)) hope you have a good day

The result of an absolute value function is never negative. This is because absolute value represents distance on a number line, and negative distance is not possible. Negative distance doesn't make sense.

So we don't have solutions to something like |x| = -5 or the given equation. The right hand side must be 0 or a positive number if you want to have at least one solution.

the answer is d

the equation you need to solve is:

5x + x-12 = 90

         +12    +12

6x=102

now, divide by 6 and you get x= 17

17-12 = 5

17 x 5 = 85

hope this helps!!

Step-by-step explanation:

After travelling 3/4 distance on the circular track, radii of the circle will make right angle and the displacement would be equal to the hypotenuse of this right triangle. Which by Pythagoras theorem is given as:

[tex]displacement \\ = \sqrt{ {400}^{2} + {400}^{2} } \\ = \sqrt{160000 + 160000} \\ = \sqrt{2 \times 160000} \\ = 400 \times 1.414 \\ = 565.6 \: m \\ \\ distance \\ = \frac{3}{4} \times circumference \: of \: circle \\ = \frac{3}{4} \times 2\pi \: r \\ = \frac{3}{4} \times 2 \times 3.14 \times 400 \\ = 6 \times 314 \\ = 1,884 \: m[/tex]

Answer:

7 units

Step-by-step explanation:

the line JL starts at -2 and ends at 5. in order to get from -2 to 5 you have to add 7.

Answer:

25% decrease

Step-by-step explanation: