Mathematics College

The table represents a linear function.
What is the slope of the function?
0-6
O 4
х
-2
-1
0
1
2
у
8
2
-4
-10
-16
04
O 6
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The Table Represents A Linear Function.What Is The Slope Of The Function?0-6O 4-2-101282-4-10-1604O 6Mark

Answers

Answer 1

The ratio of the change in the y and x values, in the table gives the slope

graph of the linear function.

Correct response:

The slope of the linear function is -6

Method used for finding the slope

From the given table, we have;

The first difference of the y-values = 2 - 8 = -6 = Constant

The rate of change of the x-values = 1 = Constant

Therefore;

The function is a linear function;

The slope, m, is given by the formula;

[tex]Slope, \ m = \mathbf{ \dfrac{y_2 - y_1}{x_2 - x_1}}[/tex]

Taking a pair of points as follows;

(0, -4) = (x₁, y₁)

(2, -16) = (x₂, y₂)

We have;

[tex]m = \dfrac{-16 - (-4)}{2 - 0} = \dfrac{-16 + 4}{2} = \dfrac{-12}{2} = \mathbf{ -6}[/tex]

The slope of the linear function, m = -6

Learn more about linear functions here:

https://brainly.com/question/14322770

Related Questions

Write an equation for a rational function with:
Vertical asymptote at x=-3 and x=-6
X intercept at x=-2 and x=2
Horizontal asymptote at y=5

Answers

Answer:

Step-by-step explanation:

Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7

110 mi/h is equal to mi/day

Answers

Answer:

2640 miles/day

Step-by-step explanation:

There are 24 hours in a day, so 110*24 = 2640.

Help I’m being timed!!

Answers

Answer:

False the radius would be 6.5

Step-by-step explanation:

Hope this Helps! :)

How many solutions does 5x - 1 = 10x - 4 - 5x + 3 have?
A. Two solutions
B. One solution
C. Infinitely many solutions
D. No solutions

Answers

Answer:

c

Step-by-step explanation:

its c

What's half an hour mean?

Answers

Answer:

30 minutes

Step-by-step explanation:

half an hour means 30 minutes

Read and solve.
1. Mark's car consumes 11,220 liters of gasoline in a week. How
many liters of gasoline can the car consume in 10 weeks?
Number sentence:
Answer:

Answers

You would have to use multiplication to do this problem.

The number setence would be : 11,220 x 10

The answer would be: 112,200

Write the income equation for a small business that begins with $150 and grows by 20% each year. When wil the company's income income be $300?​

Answers

Answer:

f(x)=150+30x

150+30x=300

30x=150

x=5

after 5 years

The number of bacteria on a piece of toast triples every hour. If there is only one bacteria cell now, how many will there be in 24 hours?

Answers

Answer:

72

Step-by-step explanation:

3x24=72

Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.​

Answers

Answer:

0.8

Step-by-step explanation:

gradient = y difference/ x difference

m = (10-4)/(4--6)

Mr Magee wrote the expression shown Below on the board if the expression has a value of 8 which of the following is the value of n​

Answers

Step-by-step explanation:

512^(1/n) = 8

(2⁹)^(1/n) = 2³

2^(9/n) = 2³

=> 9/n = 3, n = 3. (D)

P.S.

Law of Indices: (a^m)^n = a^(mn)

which is the correct way to write the square root of 16

Answers

Answer:

what is a square root...?

Step-by-step explanation:

-3(x + 4y) + 2(x – 2y) + (3x -5y)​

Answers

From what I remember it is -x-31y

please help asap!
Solve for X.

Answers

Answer:

I believe it's 12

Step-by-step explanation:

I hope this helps

Initial Knowledge Check
Question 10
A parachutist's speed during a free fall reaches 231 feet per second. What is this speed in meters per second? At this speed, how many meters will the
parachutist fall during 5 seconds of free fall? in your computations, assume that 1 meter is equal to 3.3 feet.
Do not round your answers,

Answers

132 feet/s

132/3.3 m/s

40 m/s

in 10132 feet/s

132/3.3 m/s

40 m/s

in 10 seconds

40 * 10

400 m

If a circle has a diameter of 24 inches, which expression gives its area in
square inches?
O A. 12.
O B. 242.17
O C. 24. 1
O D. 122.77

Answers

Answer:

D. 12²•π

Step-by-step explanation:

Area of a circle = πr²

Radius (r) = ½ of diameter = ½*24 = 12 inches

Plug in the value into the area

Area = π * (12)²

Area = π * 12²

Area = 12²•π

The area of a rectangle is 84cm² and its breadth is 12 cm. Find its length and perimeter.​

Answers

Step-by-step explanation:

A=84

b=12

l=?(l)

A=l×b

84=l×12

84/12=l

7=l

perimeter=2(l×b)

=2(7×12)

=168

Repost since nobody answered. Increased points to 25. Marking brainliest.

Congruence
Why are the triangles congruent

Answers

Answer:

A

Step-by-step explanation:

A.

I thought I just answered this

Answer: I learned about these a few years ago in math, and I hated it and sucked at it and it was awful, but ANYWAY, I think the answer is A, angle side angle

Step-by-step explanation: I think the answer is A because:

Angle-side-angle (asa) is when two angles and a side are the same on two triangles, they are congruent.

Angle-angle-side (aas) is when two sides and an angle are the same on two triangles, they are congruent.

Side-side-side (sss) is when all the sides of two triangles are the same, they are congruent.

Side-angle-side (sas) is when two sides and an angle are the same on two triangles, they are congruent.

So Angle side angle is the only one that makes sense. But again, I sucked at this when I was learning it, so I could be totally wrong. I'm pretty sure I'm right though. If I am, would you mind marking branilest? :)

a group of 8 students was asked, " how many hours did you watch televison last week?" here are thier responses; 19,10,8,13,5,17,6,9 . find the mean and median number of hours for these students. if nevessary, round your answers to the nearest tenths.

Answers

Mean- 10.9
Median- 9.5

Hope it helps

solve the equation -4.2 + - (0.6) divided by 6​

Answers

Answer:

-0.8

Step-by-step explanation:

-4.2 + - (0.6) /6

-4.2 - 0.6 / 6

-4.8/6

-0.8

If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solve for x and y?

A.x+y=90
x−4y=6

B.x+y=90
4x−y=−6

C.x+y=90
6x−y=−4

D.x+y=90
4x−y=6

Answers

Answer:

B

Step-by-step explanation:

x + y =90

y= 4x +6

_______

x + y = 90

4x − y = -6

The equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex]. Then the correct option is B.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The sum of x and y is 90.

And y is 6 more than four times x.

Let x and y be the numbers.

Then according to the first condition, we have

[tex]\rm x + y = 90[/tex]

Then according to the second condition, we have

[tex]\rm y = 4x + 6[/tex]

It can be written as

[tex]\rm 4x - y = -6[/tex]

Then the equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex].

Thus, the correct option is B.

More about the linear system link is given below.

https://brainly.com/question/20379472

An architect creates a scale model of a building with a scale of 3 inches =11 feet of the actual width of the building is 121 feet what is the width of the scale model

Answers

Answer:

The width of the scale model is 33 inches.

Step-by-step explanation:

This question is solved making a relation with the scale model.

In the scale, 3 inches are worth 11 real feet.

The actual width of the building is 121 feet, so we find it's scale by a rule of three.

3 inches - 11 feet

x inches - 121 feet

[tex]11x = 121*3[/tex]

Simplifying by 3, both sides

[tex]x = 11*3 = 33[/tex]

The width of the scale model is 33 inches.

how many times does 1/7 go into 3

Answers

Answer:

21

Step-by-step explanation:

1/7 x 7 = 1

x3 = 3

so 7x3 =21

The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.

a. Complete the table.

b. Describe the scales you could use on the x and y axes of a coordinate grid that would show all the distances and weights in the table.

distance (cm) weight (newtons)
20 28
55
140
1

Answers

Answer:

55= 39 2/7

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

As per the first row of proportional relationship, the proportion is:

y = kx28 = k*20k = 28/20 = 1.4

The function is therefore:

y = 1.4x

a) Table is filled in below:

distance (cm)             |         weight (newtons)

20                               |         28

55                               |         55*1.4 = 77

140/1.4 = 100              |          140

1                                  |           1*1.4 = 1.4

---------------------------------------------------------------

b)  The scale should consider the coefficient 1.4, therefore x- axis will have a scale of 100 with intervals of 1 cm and y- axis will have a scale of 140 with intervals of 1.4 newtons

PLEASE HURRY IT DUE IN 59 MIN WILL GIVE BRAILYEST Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee

2000 $750

2010 $1350

A. What is the rate of change and initial value for Elliot's business? How do you know?

B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answers

look this question has already been answered

https://brainly.com/question/1556676

https://brainly.com/question/1556676

https://brainly.com/question/1556676

https://brainly.com/question/1556676

The pet store can keep 14 fish in each tank. To find the number of tanks needed for 338 fish, the store manager solved the problem below.
Answer is multiple 2 by 14

Answers

Answer:

I beilieve it would be about 24 tanks

Step-by-step explanation:

Help I’m failing math

Answers

Step-by-step explanation:

the answer is 72.70 cents

Answer: See explanation

Step-by-step explanation:

Markup is 39% of the cost.

Markup is what is added to the price to get the retail price.

39% × 72.72

0.39 × 72.72 = 28.3608

28.3608 ≈ 28. 36

Markup ≈ $28.36

Retail price is the price you get after you add the markup to the original price.

Retail price: Cost + Markup

Retail price: $72.72 + $28.36

Retail price = $101.08

Find the slope of the line that passes through (10,3) and (3,12).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
7
0
07
을
help!!!!!!

Answers

Answer:

-9/7

Step-by-step explanation:

[tex]slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7} [/tex]

Find the value of x 6 5

Answers

Answer:

√66

Step-by-step explanation:

From the Euclidean theorem x^2 = 6 × 11

x^2 = 66

x = √66

this is really difficult ​

Answers

Answer:

x=32

Step-by-step explanation:

Since all angles in a triangle add up to 180, set 2x+x+2x+20=180. Then solve for x, and you'll get 32. Hope this helped!

What is the whole number of .24

Answers

The whole number of .24 is 24

.24 is a decimal but a whole number would be the only number which is 24. So the whole number of .24 is 24.

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