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.
What’s 5x+4y-2x-y simplified
Answer:
Step-by-step explanation:
Solving like terms
3x + 3y
Both have 3 in common so
3(x + y)
Rachel lives in a home with a value of $195,000 and has a mortgage of $160,000. She has electronic equipment worth $2,325. She is paying off the equipment with a loan of $875. Her car, which she owns, is worth $9,300. She has $6,890 in a bank account and $1,437 on her credit card. She owes $4,800 in student loans. She has a piano worth $1,200. Construct a net worth statement to find Rachel's net worth
To Find :
Net worth of Rachel.
Solution :
Net worth is given by the (sum of all the assets she owns) -( total amount of loans she have ).
[tex]Net \ Worth=( 195000+160000+2325+9300+1437+1200)-(875+4800)\\\\Net \ Worth=\$\ 363587[/tex]
Therefore, net worth of Rachel is $ 363587.
Hence, this is the required solution.
Help Me Please! And Hurry!
Answer:the answer is the last one
Step-by-step explanation:
You are about to graph the linear equation y=1/4x+8 but you need to determine the scale of the x and y axes first. Select the best option for a scale for both the x-axis and y-axis (one of each). A) x scale of -5 to 5 B) x scale of -15 to 15 C) y scale of 0 to 15 D) y scale of -30 to 30 (10 POINTS AND BRAINLIST IF RIGHT WILL REPORT WRONG ANSWERS)
Answer:
B) x scale of -15 to 15
C) y scale of 0 to 15
Step-by-step explanation:
The change in y-value is 1/4 of the change in x-value, and the y-intercept is 8. That means a y-scale of -30 to 30 would not be well-utilized over a small range of x. (It would take an x-range of about 200 to make much use of that y-scale.)
An appropriate y-scale is one that has 8 near its middle. The corresponding x-scale is then roughly ±4 times half the y-scale. The closest choices are ...
-15 ≤ x ≤ 15 . . . . choice B
0 ≤ y ≤ 15 . . . . . . choice C
BRAINLIEST ANSWER!!
During the summer, you work 30 hours per week at the gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week. How many hours, t, must you work as a landscaper?
Identify an equation that can be used to answer the question.
A) 30t=400-8.75(11)
B) 8.75+11+400=30+t
C) 8.75t+11t=400
D) 30(8.75)+11t=400
Solve the equation to find the number of hours you must work as a landscaper.
You must work ___ hours as a landscaper.
Answer:
1. 30(8.75) + 11t = 400
2. 12.5 hours
Step-by-step explanation:
1. What is given is you work for 30 hours per week at a gas station for $8.75 an hour. You also work as a landscaper for $11 an hour. You want to a make a total of $400 per week.
30 hours and $8.75 an hour would be equivalent to 30(8.75)
We don’t know how many hours you work as a landscaper but you earn $11 an hour, which is equivalent to 11t
Finally, you want to earn a total of $400 a week, which means the sum equals 400
30(8.75) + 11t = 400
2. 30(8.75) = 262.5
400 - 262.5 = 137.5
137.5 / 11 = 12.5
Sara spent half of her allowance going to the movies. She washed the family car earned 6 dollars. What is her weekly allowance if she ended with 15 dollars?
The answer for this question would be 7
Answer:
18 dollars
Step-by-step explanation:
15-6=9
9x2 (double it because she spent half)18
Select all of the zeros of the function f(x)=(3x−4)(x+2).
(I NEED TO SHOW MY WORK SO PLEASE SHOW HOW YOU GOT THE ANWSER)
Select all that apply:
4
2
43
− 43
− 2
− 4
Answer:
The zeros of the function are x = 4/3 or x = -2
Step-by-step explanation:
To find the zeros of the function, we set f(x) to zero
Thus;
(3x-4)(x + 2) = 0
3x - 4 = 0
or x + 2 = 0
3x = 4 or x = -2
x = 4/3 or x = -2
What is the area of this tile?
3 in.
3 in.
Answer:
9 in. i think
Step-by-step explanation:
Micheal got 28 out of 33 points on his math test. What percent of the questions did he get correct? Round your answer to the nearest whole number
Answer:
85%
Step-by-step explanation:
Answer:
about 84
Step-by-step explanation:
28/33=84/99
Please answer correctly.
Will give the brainliest!
Urgent!!!
Answer:
11: 12/18 12: 4/16 13: A: 2/8 B: 6/8 C: 2/8
Step-by-step explanation:
Im pretty sure those are
Please help me guys please
Answer:
i think it is the 4th one
Step-by-step explanation:
yo it would be cool if you would give me brainliest
What is the ordered pair representing the y intercept of the line containing he points (4,8) and (2, -4)?
Answer:
(0,-16)
Step-by-step explanation:
Select all equations that have graphs with the same y-intercept.
A. y = 3x - 8
B. y= 3x -9
C. y= 3x + 8
D. y = 5x - 8
E. y = 2x - 8
F. y = 1/3x -8
Answer:
A, D, E, F
Step-by-step explanation:
They all have the same y-intercept -8.
The formula is like this y = mx + b
m = slope
b = y-intercept
x = input
y = output
Write an equation for the line that is parallel to the given line and passes through the given point . Write the equation of the line in y=mx+b form
y=5x-7;(2,-2)
A parallel line has the same slope as the original equation. Therefore, the slope (m in y=mx+b) will be 5. From there, we can use the point-slope formula and convert it into the slope-intercept formula (y=mx+b).
Point-slope is:
y-y₁=m(x-x₁)
Plug in our known values:
y-(-2)=5(x-(2))
Distribute and set it equal to y:
y+2=5x-10
y=5x-12
Let me know if you have any more questions :)
Given f(x) = 2x2 -x + 3, find f(-2).
Answer:
is 2x2 multiplying them or is x the letter ?
Step-by-step explanation:
if multiplying: 4-(-2)+3 = 11
if the letter: 2(-2)2-(-2)+3 = -3
hope this helped :))
With the equation 3z+3=2z+6
Answer:
z = -3
Step-by-step explanation:
Simplifying
3z + -3 = 2z + -6
Reorder the terms:
-3 + 3z = 2z + -6
Reorder the terms:
-3 + 3z = -6 + 2z
Solving
-3 + 3z = -6 + 2z
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-2z' to each side of the equation.
-3 + 3z + -2z = -6 + 2z + -2z
Combine like terms: 3z + -2z = 1z
-3 + 1z = -6 + 2z + -2z
Combine like terms: 2z + -2z = 0
-3 + 1z = -6 + 0
-3 + 1z = -6
Add '3' to each side of the equation.
-3 + 3 + 1z = -6 + 3
Combine like terms: -3 + 3 = 0
0 + 1z = -6 + 3
1z = -6 + 3
Combine like terms: -6 + 3 = -3
1z = -3
Divide each side by '1'.
z = -3
Simplifying
z = -3
Answer:
=3z+3=2z+6
=3z-2z=6-3
=z=3
hope you like the answer
please mark the answer as brainliest
Casey is using a recipe that requires 23cups of flour for every 2 cups of milk. If Casey uses 5 cups of milk, how many cups of flour are needed?
Answer: 57.5
Step-by-step explanation:
To solve this problem, you need to multiply the number of cups of flour per cup of milk times 5.
Step 1: Find how many cups of flour per cup of milk.
23/2 = 11.5 cups of flour per cup of milk
Step 2: Multiply the cups of flour per cup of milk, times the 5 cups of milk.
11.5 * 5 = 57.5 total cups of flour
HELPPPPPPP PLEASEEEEE
Answer:
D
Step-by-step explanation:
The constant of proportionality is 8 as seen by the equation:
y = 8x
8 will constantly be multiplied by x (the number of dollars earned) to solve for y (number of tickets sold)
The number 8 will not change
Therefore, 8 is the constant ot proportionality
PLS HURRY!!!!!!!!
The members of set A are the integer solutions of the inequality 2x−5≤11 and the members of set B are the integer solutions of the inequality −2x+7≤−9. What is one member of the intersection of A and B?
HOPE IT HELPS YOU!!!
Solve 3x – X + 2 = 12. (1 point)
100
Express as a simple fraction in lowest terms
18
OK
42
Answer:
3/7 is the answer. It is 3 over 7
PLZ HELP ASAP WILL MARK BRAINIEST
(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3
solve for x!!
Answer:
x= 13
Step-by-step explanation:
40= -1/3(9x+30)+2
Pls solve this in steps and explain
Answer:
-1/3 x 9x -1/3 x 30 + 2
-3x -10 +2
-3x - 8
Step-by-step explanation:
this is a distributive type of problem you distribute the -1/3 to the 9x and the 30 by distribute i mean multiply. if you dont know how to multiply this use the calculator but you multiply it by the 2 pairs of numbers in the parenthesis and then you just add the 2
What is the slope and y intercept?
Answer:
Slope is 1, or 1/1. The y - intercept is -3, or (0, -3)
Step-by-step explanation:
Just counted the squares on the graph :)
can somebody help me with this please? this is NOT cheating, this is an optional practice and i just need help with it
Answer:
ive done the math, and im not sure if i have the correct answer or not, but i have arrived at choice B
Step-by-step explanation:
i apologize sincerely if this is incorrect
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!A 120-inch pipe is cut into two pieces, One piece is three times the length of the other. Find the
length of the shorter piece.
Answer:
the shorter piece is 30 inches.
Step-by-step explanation:
3x + x = 120
4x =120
x =30
CAN SOMEONE PLS HELP ME ANYONE ITS ALMOST DUE
Answer:
3x(2+n)+[7+n]
Step-by-step explanation:
The answer is kind of self-explanatory, but think of it this way. If n=5, then the equation would be 3x(2+5)+[7+5]. First we would solve 2+5 which is 7. Then we would do 7+5 which is 12. We are now left with 3x7+5.
How do you know if a girl like you and what is x+10 divided by 6 = 1
Answer:
x = -2/3
Step-by-step explanation:
x + 10 ÷ 6 = 1
Divide
x + 1 2/3 = 1
Subtract 1 2/3
x = -2/3
Also, as a girl, we do give some signs to people that we like, we start conversations with the person, we make eye contact and then look away (at least that what I do lol), flirts with you, agrees with you, wants to spend time with you, etc.
What is the equivalent ratio to the ratio 4:6.how do I know the ratio is equivalent?
Since you asked, simply, to know how a ratio is equivalent to another.
Ratios are like fractions in the way that they can be multiplied and simplified. 1:2, for example, can also be 10:20, 5:10, etc. This is inherent to the way a ratio works - say, for every 1 person, there are two cheese slices. This means that when the group gets larger, so does the amount of cheese slices.
Now, to find an equivalent ratio. You can simplify 4:6 by finding the GCF (greatest common factor) of these two numbers - something you can divide both of them by evenly. In this case, the GCF is 2. We divide both 'sides' by 2, and we get a simplified ratio of 2:3. You can then multiply this by different numbers (ones that are logical and could reasonably lead you to an answer on your worksheet or whatnot) until you find an equivalent ratio.
So I'm practicing writing Standard and Slope Intercept equations. Can anyone help me on writing both equations if the points are (3,5) and (0,0)?
Answer:
standard: 5x-3y=5
slope intercept: y=5/3x-5/3
Step-by-step explanation:
so standard form is: ax+by=c
(a must be positive)
slope intercept form is: y=mx+b
(m is the slope of the line that the two points form)
first, find the slope:
(y1-y2)/(x1-x2)
(5-0)/(3-0)
slope=5/3=m
to do slope intercept, b is the y-intercept
to find that plug in one of your pairs of numbers like so,
y=mx+b
0=5/3x+b
b=-5/3
now we have slope intercept form!!
y=5/3x-5/3
to do standard form:
first, take your slope intercept form; y=5/3x-5/3
then subtract 5/3x from both sides making:
-5/3x+y=-5/3
multiply everything by -3 to get rid of the fraction and the negative like so:
5x-3y=5
and boom! standard form!
I always prefer going from slope-intercept to standard because its easier but its your choice! I hope I helped you!! Please mark brainliest!! Have a supertastic day