An equation is considered linear if it is in the form of [tex]y = mx + c[/tex] where m is the slope of the equation and b is the y-intercept.
Notice how here, x can only be to the power of one. In here, the conditions are just simply m,c ∈ R.
Some examples include [tex]y = 8x + 9, 2y = x-7, 8y=0[/tex] and even some like [tex]x=4[/tex].
As you can see here, all of the following equations are represented using a straight line.
An equation is considered “non-linear” when it is not graphed using straight lines. Some examples include [tex]y = 3x^{2} +8, 4y =2x^{4}-6, y = x^{5} +86[/tex].
In conclusion, a linear equation will always be in the form of , where m is the slope of the equation, and b is the y-intercept of the equation.
Note: To determine if an equation is a linear function, it must have the form (in which m is the slope and b is the y-intercept). A nonlinear function will not match this form.
In a linear equation, the variables appear in first degree only and terms containing products of variables are absent. But in the case of nonlinear equations, at least one variable is not of the first degree or the equation contains a product of variables.
An equation is linear if its graph forms a straight line. This will happen when the highest power of x is . Graphically, if the equation gives you a straight line then it is a linear equation. Else if it gives you a circle, or parabola, or any other conic for that matter it is a quadratic or nonlinear equation.
If the highest power of x in the equation is one then it is a linear equation else if the power of x is greater than one then it is nonlinear.
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We can determine if this equation is a linear function or a nonlinear function by looking at their graph.
What are linear functions and non-linear functions?
Simplify the equation as closely as possible to the form of y = ax + b.
On a Cartesian Plane, a linear function is a function where the graph is a straight line. The line can go in any direction, but it's always a straight line. The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power. When a linear function is written in its simplest form, it looks like[tex]y = a + bx[/tex], where [tex]a[/tex] and [tex]b[/tex] are both constants. For example, here are some linear functions:
y = 3 + 5x
y = 2 - 6x
y = 4x
On a cartesian plane, a non-linear function is a function where the graph is never a straight line it is always curved may be a parabola, hyperbola or something else. Non-linear functions all have atleast one variable raised to the power of two or more. There's no one formula for non-linear functions because they're all different. For example, here are some non-linear functions:
y = 3x^3 + x^2 - 7
y = 5x^5 - 3x^2 +2
We can determine if this equation is a linear function or a nonlinear function by looking at their graph.
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It’s timed can sb please help me
Answer:
D
Step-by-step explanation:
The intersection of the graphs is at (-3,4).
Answer:
(-3,4)
Step-by-step explanation:
we have to find the point in common of the two lines, that is where they intercept.
when we write a point, we have to sign first the coordinate of the x, and then the coordinate of the y.
So the answer is : (-3,4)
40 points!
You are framing a picture with a frame of equal width on each side.
a. Write a polynomial that represents the area of the picture including the frame
b. Find the area of the picture including the frame when the width of the frame is 2 inches
Answer:
Part A)
The polynomial is:
[tex]A=4(x+8)(x+10)[/tex]
Or, expanded:
[tex]A=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.
Step-by-step explanation:
Part A)
For solely the picture, the width is 16 inches, and the length is 20 inches.
If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.
Likewise, the new length will be (20 + 2x) inches.
The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:
[tex]A=(16+2x)(20+2x)[/tex]
To simplify calculations, we can factor out a two from both factors. Thus:
[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]
Expanded, this will be:
[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two, x = 2. Then the area is:
[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]
The area of the picture including the frame will be 480 square inches.
Quanto é 100cm em metros?
Answer:
1 metro hace 100 cm
Step-by-step explanation:
100* 10^-2m
HELPPPPP PLSSSSSSSSSS PLSSSSSSSS DRFTGYHUYGTFRDCGV PLSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLSSSSSSSSSSSSSSSSSSSSSS FRTGYHUJTRCVBJHGB ASAPP PLSSSSSSSSS NNOWWW FGHUJIKHTFVBNGB.
Answer:
B, C, and D
Step-by-step explanation:
They are both true the ones I said.
3a=a+36 find the value of a
Answer:
a=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Step 1: Write out your equation
3a=a+36
Step 2: Subtract a on both sides
2a=36
Step 3: Divide by 2 on both sides
a=18
Hope I helped
What is the area of this rectangle? A rectangle that is partitioned into two rectangles. The first rectangle has a measurement of five meters along the top, and a measurement of eight meters along the side. The second rectangle has a measurement of five meters along the top, and a measurment of eight meters along the side. 50 square meters 60 square meters 70 square meters 80 square meters
Answer:
80 square meters
Step-by-step explanation:
A rectangle that is partitioned into two rectangles; rectangle A and rectangle B
Rectangle A:
Top = 5 meters
Side = 8 meters
Area of rectangle A = length × width
= 5 meters × 8 meters
= 40 meters ²
Rectangle B:
Top = 5 meters
Side = 8 meters
Area of rectangle B = length × width
= 5 meters × 8 meters
= 40 meters ²
Total area of the partitioned rectangle = area of rectangle A + area of rectangle B
= 40 meters ² + 40 meters ²
= 80 meters ²
e) What fraction is equal to 50% of
1/6
?
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
50/100*1/6
1/12
Decide whether QRST and you UVWX are similar.
Answer:
no
Step-by-step explanation:
Answer:
They are not similar.
Step-by-step explanation:
Let's compare 2 sides of QRST and the 2 corresponding sides in UVWX, and set up a side length ratio.
20/19 = 15/7. If these ratios are equal the shapes are similar, but the ratios obviously aren't.
Sooo....the shapes aren't similar.
helppppppppppppppppppppp plzzzzzzzzzzz answer
Answer:
Maria randomly selects a number from the list of numbers below.
56, 90, 88, 76, 12
What is the probability that she selects an even number?
Step-by-step explanation:
so fd jwshydd +3 b4--
Answer:
3/2
Step-by-step explanation:
4x+17=23
-17 on both sides
4x=6
divided by 4
x=3/2
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
24f2+11
Answer:
24t^2 + 11
Step-by-step explanation:
There is a lot left out of this question. If you are allowed rational numbers, a common factor could be 24.
24(t^2 + 11/24) is one possibility.
I think what you mean is there an integer that is a common factor. There is not.
So the answer is 24t^2 + 11
There is one more thing that needs to be clarified. Can you give t a value? If you can, then t = 11
the common factor would be
11(24 * 11 + 1)
I doubt very much that this is what is meant, but the question really should make it clear.
Answer:
1(24f²+11) is your answer
Step-by-step explanation:
24f2+11
taking common
1(24f²+11)
What is the value of s?
_______units
Answer:
it's asking for hypothesis your answer is in the picture
help with these 2 questions pls
Answer:
6 .
4X + 2 + X = 8X +2 -3X
5X+2=5X+2
0=0
The two sides of the equation are always equal ,so 3 or any other number can be a solution for it .
7.
6X+6-3X+6= X+4
3X+12= X+4
2X= -8
X= -4
Hope it was helpful .
Step-by-step explanation:
I hope that everything I have written helps you.if I'm wrong write the answers in your paper doesn't match with mine please tell me I'll try it again.
Subtracting fractions with unlike denominators
Answer:
1/3 is your correct answer
Step-by-step explanation:
Steps for Subtracting Fractions with Unlike Denominators
Identify the least common denominator by finding the least common multiple for the denominators.
Write equivalent fractions (making sure that each equivalent fraction contains the least common denominator (LCM))
Subtract the numerators of the equivalent fractions that you wrote in step 2. (The denominators should now be the same.)
Simplify if necessary.
Please mark me brainliest!
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Reduce the 4/8 to 1/2
Convert the fractions with the least common denominator
by multiplying 3 to 1/2
5/6-3/6
Subtract
2/6
Simplify
1/3
This box plot shows the heights (in feet) of a sample of pine trees.
Pine tree heights
A pine tree that is 8 feet tall is added to the sample. How will this outlier
affect the shape of the box plot?
When a pine tree that is 8 feet tall is added to the sample, A. The new box plot will be negatively skewed.
What is negative skewness?Negative skewness occurs when the tail of the left side of the box plot is longer than the tail on the right side.
Negative skewness highlights the risk of left tail events or negative outliers known as “black swan events.”
Thus, when a pine tree that is 8 feet tall is added to the sample, A. The new box plot will be negatively skewed.
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Answer:
A
hope this helps
Decide whether each fraction is equivalent to a whole number. show or explain your reasoning. You can use the number lines if they are helpful to you.
a. 12/6
b. 12/8
c. 24/2
d. 10/3
e. 5/1
f. 16/4
g. 11/2
Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......
Answer:
486
Step-by-step explanation:
for the 2nd term, add 5 to -9
for the 3rd, add 5 × 2 to -9
for the 4th, add 5 × 3 to -9
:
for the 100th, add 5 × (100 - 1) to -9
=> 5 × 99 + (-9)
=> 486
Please Help Me In This. ASAP! I'll Give brainliest!!!!
- Use the drop-down menus to complete the statements about inertia, Earth, and the moon.
The moon’s _____ tries to push it off into space in a straight line, but Earth’s _____ keeps the moon in orbit.
The moon and Earth are similar in that they both orbit around a body with
_____ mass.
Answer:
1. Inertia
2. Gravity
3. Greater
Step-by-step explanation:
You're welcome :3
Answer:
1. inertia
2. gravity
3. greater
Step-by-step explanation:
They are right I even checked them after
Solve for x. Round answer to the nearest tenth.
17
54°
х
This table shows how many male and female students attended two different
movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
Answer:
the correct answer is
229/479 = 0.48
The probability that a randomly chosen person from this group is male is 0.48.
What is the probability that a male is chosen?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability of choosing a male = number of males / total number of males and females
229/479 = 0.48
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mehh need help withh this
problem
Answer:
the answer is D
Step-by-step explanation:
hope it helps
Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).
Answer:1
Step-by-step explanation:
4x-4x+4=4h(x)
4=4h(x)
h(x)=1
h(-3)h(-3)=(1)(1)=1
calculate the number of atoms, please help in struggling
To amend a country's constitution, 5 6 of the 52 states in that country must approve the amendment. If 44 states approve an amendment, will the constitution be amended
Answer: Yes. It will be amended
Step-by-step explanation:
Since 5/6 of the 52 states in a country must approve the amendment before the country's constitution is amended, then the number of states that must approve it will be:
= 5/6 × 52
= 43.33
= 43 approximately
Since 44 states approve an amendment, the constitution be amended since it's more than 5/6 of the 52 states.
Issac shovels driveways to earn money. He can shovel 14 driveways in 8 hours. Earns $25.00 for each driveway. Issac is saving up to buy a new computer that costs $831.25. How many hours does Issac need to work to earn enough money to purchase the computer?
Answer:
19 hours
Step-by-step explanation:
Issac shovels driveways to earn money. He can shovel 14 driveways in 8 hours. Earns $25.00 for each driveway. Issac is saving up to buy a new computer that costs $831.25. How many hours does Issac need to work to earn enough money to purchase the computer?
Step 1 find the number of driveways to shovel
25x = $831.25
x = $831.25/25
= 33.25 driveways
Step 2
He can shovel
14 driveways = 8 hours
33.25 driveways = x
Cross Multiply
14x = 8 × 33.25
x = 8 × 33.25/14
x = 19 hours
Write the equation of each circle. center at (-4, 3), radius 9
Answer:
(x-h)²+(y-k)²=r²
putting respective value
(x--4)²+(y-3)²=9²
(x+4)²+(y-3)²=81
Answer:
(x + 4)^2 + (y - 3)^2 = 9^2
Step-by-step explanation:
Here our center is at (-4, 3), so h = -4 and k = 3. Radius, r, is 9.
Insert these values into the standard equation of a circle centered at (h, k) with radius r:
(x - h)^2 + (y - k)^2 = r^2 becomes:
(x + 4)^2 + (y - 3)^2 = 9^2
(6,3); (1,4)
Slope
Giving brainless answer
Answer:
-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5
Step-by-step explanation:
Od
33
Question 9 (1 point)
In the middle school PTA there is a total of 47 men and women. The number of women
in the PTA is 2 more than four times the number of men. How many women are in the
PTA?
a
42
38
ОООО
30
d
35
Answer:
38 women
Step-by-step explanation:
Question 9 (1 point)
In the middle school PTA there is a total of 47 men and women. The number of women the PTA is 2 more than four times the number of men. How many women are in the
PTA?
Let the number of men = x
Let the number of women = y
x + y = 47
y = 2 + 4x
We substitute
x + 2 + 4x = 47
Collect like terms
5x = 47 - 2
5x = 45
x = 45/5 = 9
y = 2 + 4x
y = 2 + 4 × 9
y = 2 + 36
y = 38
Therefore, the number of women = y = 38 women
Find the slope of the line
Answer:
Slope is undefined.
Step-by-step explanation:
Slope of 0 is a horizontal line.
Slope of undefined is a vertical line.
Any other slope is something in between.
Answer:
(A) undefined
Step-by-step explanation:
Here’s a little trick
If the line is horizontal, the slope is always 0
While if the line is vertical, the slope is always undefined.
In other words, if you can walk on the line, its 0 if you can’t its undefined
Find the perimeter of the trapezoid. ROUND YOUR ANSWER TO THE
NEAREST TENTH (One number past the decimal.)
Answer:
49.41
Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom + left side + square root of right side squared.
Mrs. Cravens did an experiment where she recorded the number of minutes each student studied and the score the student made on the test. She calculated a correlation coefficient of r = 0.84. Which best describes the association between the number of hours spent studying and the test score, based on Mrs. Craven's findings?
A: Weak Negative
B: Strong Negative
C: Weak Positive
D: Strong Positive