1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novay_Z [31]
3 years ago
12

Is 0.2x = 100- 0.4/y linear or non linear function?

Mathematics
1 answer:
Pavel [41]3 years ago
4 0

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.

You might be interested in
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
Katarina [22]

Answer: A

Step-by-step explanation:

5 0
3 years ago
Please don’t skip!!! I need help!!
horsena [70]
P = [60] cm

Explanation:

6.5 cm + 6.5 cm + 7.5 cm + 7.5 cm + 7.5 cm + 7.5 cm + 8.5 cm + 8.5 cm
7 0
3 years ago
Solve the following equation (If possible please show work)
natima [27]

Answer:

x = 1.8

Step-by-step explanation:

2 ( 4x-3) - 8 = 4-2x

Distribute

8x -6 -8 = 4- 2x

Combine like terms

8x - 14 = 4 - 2x

Add 2x to each side

8x - 14 +2x = 4-2x+2x

10x-14 = 4

Add 14 to each side

10x-14+14 = 4+14

10x = 18

Divide by 10

10x/10 = 18/10

x = 1.8

8 0
3 years ago
Solve for x. <br><br> x−2.7≥10.3
Sonbull [250]

Move all terms not containing x to the right side of the inequality.

x ≥ 13

Hope this helps! :)

and Happy Holloween!

~Zane

5 0
3 years ago
Read 2 more answers
Hey y’all,please help me :)
givi [52]

Answer:

-c-4≥8

Step-by-step explanation:

Just ask!

Hope this helps. :)

5 0
2 years ago
Other questions:
  • Find an irrational number that is between 7.7 and 7.9. Explain why it is irrational. Include the decimal approximation of the ir
    11·1 answer
  • (QUICK QUESTION) If you have 18 credits In the 12th grade Is it possible to get 23 by June 2019?? In one semester
    13·2 answers
  • Your discount brokerage firm charges $8.95 per stock trade. How much money do you need to buy 210 shares of Pfizer, Inc. (PFE),
    12·1 answer
  • Write the equation y = 4/5x - 7/10 in standard form. (Standard form is Ax+By = C, where A is positive, and A, B, and C are integ
    9·1 answer
  • The graph of a quadratic function having the form f(x) = ax? + bx + c passes
    11·1 answer
  • Which equation below has a proportional relationship
    7·1 answer
  • 2^3 x 2^6 x 2^? = 2^12
    10·2 answers
  • HELP ASAP DUE TODAY IT IS EASY IM JUST TOO LAZY IM SO SORRY
    13·1 answer
  • Find the volume of a right circular cone that has a height of 18m and a base with a radius of 5.8m
    9·1 answer
  • Find the sum of the average monthly rainfall. this is on i ready okay so please help.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!