Which of the following equations represents a linear function?

x = −2
y = 5x − 6
y equals negative one fifth times x squared
−3x + 2 = 4

Answers

Answer 1

Answer:

The equation that represents a linear function is:

y = 5x - 6

Step-by-step explanation:

This equation has a constant rate of change, which means that for every unit increase in x, there is a consistent and constant increase or decrease in y. This is a characteristic of linear functions, where the relationship between x and y is a straight line.

Answer 2

y = 5x - 6 is represents a linear function.

What is a linear function?

A linear function is a type of function in which the highest power of x is one. The graph of a linear function has only one solution, and intercept x - axis at only one point and intercepts y - axis at only one point as well.

Generally, the equation of a linear function is given as;

y = mx + c

where;

m is the slope of the graphc is the y intercept of the graph

The graph of a linear function is usually directly proportional, either increasing or decreasing.

From the options, only the function, y = 5x - 6 is a linear function.

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Related Questions

A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.


Number of Hours Total Number of Students
0 1
1 3
2 2
3 10
4 9
5 7
6 3


Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
0.74
0.35
0.26
0.11
PLEASE HELP ASAP!!!!!

Answers

To determine the probability that a student studied for exactly 4 hours, we need to divide the number of students who studied for 4 hours by the total number of students surveyed.

From the given data, we can see that the total number of students surveyed is:

1 + 3 + 2 + 10 + 9 + 7 + 3 = 35

And the number of students who studied for 4 hours is:

9

Therefore, the probability that a student studied for exactly 4 hours is:

9/35 = 0.26 (rounded to the nearest hundredth)

So the correct answer is 0.26.

Question 12(Multiple Choice Worth 2 points)
(Three-Column Tables MC)

The relationship between the number of pies-to-cakes chosen by middle school students as their favorite dessert is shown in the table.


Pie 36 42 60
Cake D 7 C
Total 42 A B


What is the value of C in the table?
6
10
49
70

Answers

Answer:

The value of C in the table is 0. Total number of cake lovers = Total - (number of students who chose pie) = 138 - (36 + 42 + 60) = 138 - 138 = 0

Step-by-step explanation:

The value of C in the given table is 10. Therefore, option B is the correct answer.

What is proportionality?

The property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

From the given table,

42/7 = 60/C (Using proportionality)

6=60/C

C=10

Therefore, option B is the correct answer.

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The following system of linear equations is shown in the graph.

y equals one fourth times x minus 1
x − 4y = 4

How many solutions does the system of linear equations have?

No solution
Infinitely many solutions
One solution at (4, 0)
One solution at (0, −1)

Answers

Answer:

Step-by-step explanation:

its B. trust me fr fr

A scatter plot is shown.
Which of these statements are true for the scatter plot? Select all that apply.

The scatter plot shows a negative association
The scatter plot shows a nonlinear association
The scatter plot shows two clusters of a data
The scatter plot shows a positive association
The scatter plot shows an outlinear

Answers

Answer: The scatter plot shows a nonlinear association

The scatter plot shows a negative association

Step-by-step explanation:

The scatter plot shows a non-linear association

Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 90° counterclockwise.

A: U′(0, −2), V′(−1, −3), W′(−3, −3)
B:U′(0, −2), V′(1, −3), W′(3, −3)
C:U′(2, 0), V′(3, −1), W′(3, −3)
D: U′(−2, 0), V′(−3, 0), W′(3, −3)

Answers

To find the vertices of the image after rotating 90° counterclockwise, we can use the following formula:

x' = -y
y' = x

For each vertex (x, y) in the original triangle, we can apply this formula to get the corresponding vertex in the image.

Let's start with vertex U(-2, 0):

x' = -y = 0
y' = x = -2

So, U' is at (0, -2).

Now, let's consider vertex V(-3, 1):

x' = -y = -1
y' = x = -3

So, V' is at (-1, -3).

Finally, let's consider vertex W(-3, 3):

x' = -y = -3
y' = x = 3

So, W' is at (-3, -3).

Therefore, the vertices of the image triangle U'V'W' are (0, -2), (-1, -3), and (-3, -3).

Thus, the correct answer is option A: U′(0, −2), V′(−1, −3), W′(−3, −3).

PLS HELP ASAP!!! WILL GIVE BRAINLIEST!!
The probability that the next Yankees game will be rained out is 2/5.
The probability that they will win their next game is 3/4.
What is he probability that it does not rain and the Yankees win?

(A) 11/20
(B) 5/9
(C) 9/20
(D) 1/4

Answers

Answer: C 9/20

Step-by-step explanation:

the odds the yankees don't get rain is 3/5. The odds they win are 3/4. 3/5x3/4=9/20

Answer:

(C), 9/20

Step-by-step explanation:

If the probability that the next Yankees game will be rained out is 2/5, this must mean than, theoretically, two times out of five, the game will be rained out.

This also means than three times out of five, it will not be rained out, so the probability that it will not be rained out is 3/5 (1-(2/5)=3/5)

We know that the probability that they will win their next game is 3/4.

We need to find the probability that it doesn't rain and the Yankees win. TO do this, we multiply both probabilities together. So, we have:

[tex]\frac{3}{5} *\frac{3}{4} =\\\\\frac{9}{20}[/tex]

So, the answer is (C), 9/20.

Help pls answer and explain the question below (comes with pic)


The following scatter plot represents the scores of thirteen students on a geography test compared to the number of hours that each student studied for the test. Use the line of best fit to predict the score of a student who studied three hours for the test.

Answers

Answer:

95

Step-by-step explanation:

Looking at the graph, we can find the red line. The red line passes through the following coordinates (x,y): (0,65), (1, 75), (2, 85) and (3,95).

We know that x is the number of hours studied, and y is the score. If x=3, and y=95, then a student that studied three hours for the test will most likely score 95%.

Hope this helps! Good luck on your homework!

ANSWER BOTH PLS 20 POINT <3

Answers

Answer:d is the correct answer

Answer: D and 10 am.

Step-by-step explanation:

Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches. Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches. Both aquariums are rectangular prisms. How much more volume does Jerome’s aquarium have than Lim’s?
(Answer quick please, 11:30pm-12:30pm)

Answers

Answer:

the answer is 864 in3

Step-by-step explanation:

The volume of Jerome's aquarium is:

12 x 18 x 24 = 5,184 cubic inches

The volume of Lim's aquarium is:

12 x 30 x 12 = 4,320 cubic inches

To find how much more volume Jerome's aquarium has than Lim's, we can subtract the volume of Lim's aquarium from the volume of Jerome's aquarium:

5,184 - 4,320 = 864 cubic inches

Therefore, Jerome's aquarium has 864 cubic inches more volume than Lim's aquarium.

What is the circumference of the circle with a radius of 4.5 meters? Approximate using π = 3.14.

14.13 meters
28.26 meters
56.52 meters
63.59 meters

Answers

Answer: the circumference of this circle is : 28.26 meters.

Step-by-step explanation:

The formula for circumference is = 2*pi*radius

Here,

pi=3.14

radius=4.5meters

hence,

using the formula; 2*pi*r

circumference =2 * 3.14 * 4.5m

circumference = 28.26 meters.

Answer:

The Circumference of circle os 28.26 meters.

Step-by-step explanation:

Given : Radius of circle is 4.5 meter

To Find : Circumference of circle

Using Formula :

[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]

Solution :

Finding the Circumference of circle by substituting all the given values in the formula :

[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]

[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \times \pi \times r}[/tex]

[tex]\sf{\leadsto{Circumference_{(Circle)} = 2 \times 3.14\times 4.5}}[/tex]

[tex]\sf{\leadsto{Circumference_{(Circle)} = 6.28\times 4.5}}[/tex]

[tex]\sf{\leadsto{Circumference_{(Circle)} = 28.28 \: meteres}}[/tex]

Hence, the Circumference of circle is 28.26 meters.

————————————————

Two rectangles are in a proportional relationship. The scale factor for sizing up rectangle A to the size of rectangle B is 5/2. The length of rectangle A is 6 m and the width is 4 m. Find the area of rectangle B. (A=l∙w)

Answers

Answer:

Answer is option B

Step-by-step explanation:

48:6=8:1. applies to 64:8=8:1

Answer:b

Step-by-step explanation:

When Emily went to work, it was 83.8 degrees outside. When she was done working, it was 67.9 degrees outside. What was the change in temperature?

Answers

Answer:

The difference in temperature is 15.9 degrees.

Step-by-step explanation:

83.8 - 67.9 = 15.9

Answer: 83.8

             -67.9 = 15.9

Point A, located at (5, -4) is reflected in the y-axis, resulting in the location of point A'. Which of the following statements is true?

Point A' is located at (-5,-4)
Point A' is located at (-5,4)
Point A is located at (4,5)
Point A' is located at (-4,5)

Answers

The correct answer is Point A' is located at (-5, -4).

When a point is reflected in the y-axis, its x-coordinate is negated and its y-coordinate remains the same. Therefore, the x-coordinate of point A changes from +5 to -5, and the y-coordinate remains -4. Hence, the coordinates of A' are (-5, -4).

Point A’ is located at (-5,-4)

Preimage polygon VWYZ and image polygon V′W′Y′Z′ are shown on a coordinate plane.



What transformation takes polygon VWYZ to polygon V′W′Y′Z′?

Vertical translation
90° clockwise rotation
Reflection across the y-axis
Reflection across the x-axis

Answers

Answer: reflection across the x-axis

Step-by-step explanation: It would either be a reflection or a translation, but because of the locations of the image compared to the pre-image it has to be a reflection. For example, Y and Y' are equidistant from the x-axis. If this was a translation the whole image would have "slid" down and Y' would be where Z' is.

Answer: THe answer is verticle translation and NOT a reflection over an axis because the letters on the corner of the box would be opposite not equal.

Step-by-step explanation: i did the test

What is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted?
Responses
A 2
B 6
C 3
D 4

Answers

Answer: 4

Step-by-step explanation:

c1: c2:

H - H

T - T

T - H

H - T

The answer is D. 4 each quarter has 2 sides and there are 2 quarters so you multiply it 2•2=4

Example: you role two dice how many outcomes are there?

There are two dice with six sides so you would multiply 6•6 to get 36

Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.



Determine the slope and explain its meaning in terms of the real-world scenario.

The slope is 6, which means that the amount the student raised increases by $6 each hour.
The slope is one sixth, which means that the amount the student raised increases by $0.34 each hour.
The slope is 12, which means that the student will finish raising money after 12 hours.
The slope is 20, which means that the student started with $20.

Answers

Answer: The answer is A.  The slope is 6, which means that the amount the student raised increases by $6 each hour.

Step-by-step explanation: I hope this help.

The correct interpretation is option (A) The slope is 6, which means that the amount the student raised increases by $6 each hour.

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The slope is 6, which means that the amount of money Laila raised increases by $6 for every hour she danced. In other words, for each additional hour of dancing, Laila raised an additional $6 in donations.

This indicates a linear relationship between the number of hours Laila danced and the amount of money raised.

The y-intercept is 20, which means that when Laila did not dance at all, she still managed to raise $20 for the Animals are Loved Shelter.

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PLEAS HELP ASAPPP!! WILL MARK BRAINLIEST
Determine the length of sides AB and BC in triangle ABC.

Answers

Answer is AB= 9.68, BC = 7.04

Explanation

Since triangle ABC is similar to DEF
We know AC to DF is the ratio we can use to find unknown sides

6.71 /6.1 = 1.1 ratio or dilation from pre image DEF to image ABC

AB is our unknown
8.8 is our pre image x 1.1 dilation = 9.68

BC is our unknown
6.4 is our pre image x 1.1 dilation = 7.04





PLS HELP ASAP!!! WILL GIVE BRAINLIEST
The original selling price of an antique clock was c, dollars.
The selling price at a later date was represented by the expression 1.2(0.85c).
Which description could explain what happened to the price of the antique clock?

(A) The price decreased by 20% and then increased by 85%
(B) The price decreased by 80% and then increased by 15%
(C) The price decreased by 15% and then increased by 20%
(D) The price decreased by 15% and then increased by 85%

Answers

Answer:

(C) The price decreased by 15% and then increased by 20%

Step-by-step explanation:

0.85c = c - 0.15c  

This means that c was decreased by 0.15c which is equal to 15%.

Being multiplied by 1.2 makes the number increase. think about 1.2 as 120%. In other words, being increased by 20%.

The price was decreased by 15% first and then increased by 20%

C

I need help with this it too hard and I'm also trying to get caught up thankssss

Answers

Answer:

the picture is to blurry to interpret

PLS HELP ASAP! WILL GIVE BRAINLIEST!!!
A tree measured 8 3/4 feet in height. Over the next 6 3/8 years, the tree grew to a height of 51 1/4 feet.
During the 6 3/8 years, what was the average yearly growth rate of the tree?

(A) 6 2/3 feet per year
(B) 42 1/2 feet per year
(C) 5 1/4 feet per year
(D) 6 1/4 feet per year

Answers

Answer:

i think the answer is C im only writing it like this bc it wont just let me put C lol

Find the 24th term.
-9, 0, 9, 18, 27, ...
24th term = [? ]

Answers

Answer:

198

Step-by-step explanation:

Answer: 198

Step-by-step explanation:

Firstly, you must find the nth term.

the sequence is: -9, 0, 9, 18, 27, ...

find the difference between each term. in this sequence, the difference is 9, so it is 9n

then you must find the difference between the sequence 9n and this sequence. 9n is:

9, 18, 27, 36, 45, ...

now find the difference between 9n and our sequence.

adjustment = -18

so the nth term is 9n - 18

now you need to substitute 24, as that is the term you would like to find out, in place of n.

so, our n term looks like this: 9(24)-18

9 x 24 = 216

216 - 18 = 198

hence, the answer is 198.

hope this helps.

Where would -4,9 be on a coordinate grid
A-1st
B-2nd
C-3rd
D-4th

Answers

To determine the location of the point (-4,9) on a coordinate grid, we need to use the x-coordinate and y-coordinate values of the point.

The x-coordinate represents the horizontal position of the point, while the y-coordinate represents the vertical position of the point.

In this case, the x-coordinate is -4, which means the point is 4 units to the left of the origin. The y-coordinate is 9, which means the point is 9 units up from the origin.

Therefore, the point (-4,9) is located in the 2nd quadrant of the coordinate grid, since it is to the left of the origin (in the negative x-direction) and above the origin (in the positive y-direction).

So, the correct answer is B-2nd.

A prism is completely filled with 540 cubes that have edge length of 1/3 cm.

What is the volume of the prism?

Answers

Answer: 20

Step-by-step explanation:

Each little cube is 1/27 cm cubed. If you multiply by 540, you get 540/27. This equals 20.

Mr.Robbins sold his house and deposited his $84,500 earnings into a savings account for one year. The account compounds at an annual rate of 3%. Find the amount that Mr.Robbins will have at the end of the year.

Answers

Answer:
Mr. Robbins will have $87,035 at the end of the year!

Mr robbins would have $87,035 at the end of the year

Select all of the following that are quadratic equations.
(MULTIPLE CHOICE)

A). 3 x² + 5 x - 7 = 0

B). 5 x² + 15 x = 0

C). 2 x - 1 = 0

D). x² - 4 x = 4 x + 7

E). 6 x - 1 = 4 x + 7

F). x³ - 2 x² + 1 = 0

Answers

Answer:

A B D F

Step-by-step explanation:

quadratic equation normally comes with squares

The length of a rectangle swimming pool is 3 1/4 yards. If the area is 9 3/4 square yards, what is the width of the swimming pool?
A- 3 yards
B- 31 11/16 yards
C- 6 1/2 yards
D- 2 3/4 yards

Answers

Answer:

Let's start by using the formula for the area of a rectangle:

area = length x width

We know that the length is 3 1/4 yards and the area is 9 3/4 square yards, so we can substitute those values in and solve for the width:

9 3/4 = (13/4) x width

To isolate the variable, we can multiply both sides by the reciprocal of 13/4, which is 4/13:

(9 3/4) x (4/13) = (13/4) x (4/13) x width

3 = width

Therefore, the width of the swimming pool is 3 yards, which is option A.

Option A, 3 Yards. How do I know? I took the test.

Which linear equation shows a proportional relationship?

y = 2x + 5
y equals one fifth times x minus 7
y equals negative one fifth times x
y = −5

Answers

Answer:

y = (-1/5)x

Step-by-step explanation:

The equation that represents a proportional relationship, or a line, is

y = k x , where is the constant of proportionality.

y = 2x + 5 (N0)

y equals one fifth times x minus 7 -------  y = (1/5)x -7  (No)

y equals negative one fifth times x ------y = (-1/5)x  (Yes)

y = −5 (No)

Answer:D -> y equals one fifth times x minus 7

Step-by-step explanation: In a proportional relationship, when x is multiplied by a constant, then y will also be multiplied by the same constant. This means that the ratio between x and y remains constant throughout. In the given options, the equation "y equals one-fifth times x minus 7" follows the proportionality rule because when x is multiplied by 5, then y is also multiplied by 5, which means that the ratio between x and y remains constant throughout. Therefore, the correct option is "y equals one-fifth times x minus 7

help me thank you :D

Answers

Answer:3

Step-by-step explanation:as u know area is multiplication so u multiply 3/5 by 5 or 5/1 And get 3 (Here like this)

Use the graph to answer the question.



Determine the direction and degree of rotation used to create the image.

90° clockwise rotation
90° counterclockwise rotation
270° counterclockwise rotation
180° clockwise rotation

Answers

Answer:

90° counterclockwise rotation

90° counterclockwise rotation

can yall help me with this 4s+17<9

Answers

Answer: s < -2

Step-by-step explanation: To find 'S', read the following steps below

First, you're going to subtract 17 from 17 and 9,

you will end up with this equation: 4s<-8

Then, you will divide 4 by 4, leaving the variable by itself, and divide -8 by 4.

Your answer is s < -2

Sorry if you don't understand my explanation, I tried my best :)

Answer:I show u on paper

Step-by-step explanation:hope this helps

First you isolate the instead of 4s+17<9 you have 4s<9-17

Next you get 4s<-8

Then you now divide so you get s< -8÷4 which is -2

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