What is the equation for the graph shown?

What Is The Equation For The Graph Shown?

Answers

Answer 1

Answer:

[tex]y = \frac{2}{3}x + 4[/tex]

Step-by-step explanation:

The rule for graphs is:

[tex]y = mx + c[/tex]

Where [tex]m[/tex] is the gradient and [tex]c[/tex] is the y-intercept (where the line crosses the y-axis)

We can work out c by looking at our graph.

Our line crosses the y-axis at (0, 4). So... [tex]c=4[/tex]

To work out our gradient of a straight line (which is what we have)

We use the formula:

[tex]m = \frac{\triangle y}{\triangle x}[/tex]

The triangle [tex]\triangle[/tex] just means the "change in" the coordinates between any two points.

To calculate the change in y, we can pick any two points on our line!

Let's go for (0, 4) and (-6, 0)

To work out the gradient:

[tex]m = \frac{\triangle y}{\triangle x} = \frac{0 - 4}{-6 - 0} = \frac{-4}{-6} = \frac{4}{6} = \frac{2}{3}[/tex]

Using our formula

[tex]y = mx + c[/tex]
[tex]y = \frac{2}{3}x + 4[/tex]


Related Questions

What is the BEST evidence that the author would make a good sportswriter?
A) the poem's admiring attitude toward athletes
B) the fact that she has failed at almost every sport
C) the poem itself, which is a funny description of sports
D) the fact that she has loved sports since she was very young

Answers

Answer:

C

Step-by-step explanation:

The poem itself, which is a funny description of sports.

Answer: C) the peom itself which is funny description of sports.

Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.

help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy
a special highway engine oil that will save him 50 cents in gas for every 25 miles of the
trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he
has a coupon for $4 dollars off the price?

Answers

500 miles/ 25 = 20 x 0.50 = $10

He will save a total of $10


20-4 = $16

it will cost him $16 for the oil which is more than what he saves in gas so buying the oil is not worth it.

A spherical balloon has a 16-in diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon
c. What is the radius of the half-inflated balloon?

Answers

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

Which expression does this power represent?

10^8


10 × 8

10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8

8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8

Answers

Answer:

10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Because it is to the 8th power, this means it's multiplied by itself 8 times.

Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Please help me!
I’ll give 20 points

Answers

Answer:

Both answer is C

Step-by-step explanation:

30:20

3:2

Thus, (24/3)×2

=16 inch

Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure

Please answer fast
Select the correct answer.
An animal reservation has four different regions for animals. The number of animals in each region is shown in the table.
B
C
Region
Number of Animals
A
42,500
D
49,200
60,800
57,300
35 mi
A
38 mi
51 mi
Sketch of Region
42 mi
A
50 mi
40 mi
49 mi
32 mi
Which re
region has a population density less than 60 animals per square mile?
ΟΑ. Α
OB. B
OC. c
ODD

Answers

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

What is the area of a triangle?

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at https://brainly.com/question/21735282

Answer:

C.C-57,300

Step-by-step explanation:

30 divided by 14 written as a fraction

Answers

Answer:

I believe your answer is 15/7

Let's solve.

    [tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]

Hope that helps!

Solve the linear equations below by using:
2x + y = -3
3x - 2y = -8

a. Addition
b. Substitution
c. Graphing ​

Answers

a. Y= -7
X=2
4x+2y=-6
+(3x-2y=-8

How many positive integers are factors of 55^3 + 66^3?​

Answers

Answer:

10

Step-by-step explanation:

55³ + 66³ =

= (5 × 11)³ + (2 × 3 × 11)³

= 5³ × 11³ + 2³ × 3³ × 11³

= 11³(5³ + 2³ × 3³)

= 11³ × 341

= 11³ × 11 × 31

= 11^4 × 31

The factors are:

1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31

The factors are:

1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871

Answer: 10

What is the value of the expression shown below?
−(−4)(-6) − (10 + 15)
-
1|3

Answers

Answer:

-27.3 is the ans without decimal its -27-1/3

Answer:

-49 and 1/3

Step-by-step explanation:

− (-4 x -6) − (10 + 15) − 1/3

− (24) − (25) − 1/3

− 24 − 25 − 1/3

−49 − 1/3

-49 and 1/3

BRAINLIEST please if this helped!

can i get the answer with work?

Answers

Answer:

Step-by-step explanation:

D

Answer: 15

Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15  = 9 gamesSo prediction for whole season = 6+9 = 15 games.

Step-by-step explanation:

A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie.
Please help me!!
30 points for it!!!!!!!!!!

Answers

Answer: 48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Answer: the answer is 48.8

Solve for X
Pls give your working out as well x

Answers

[tex]3^{x-2} = \left(\dfrac 13 \right)^{\sqrt x}\\ \\\implies 3^{x -2} = \left(3^{-1} \right)^{\sqrt x} \\\\\implies 3^{x-2} = 3^{-\sqrt x}\\\\\implies x -2 = -\sqrt x\\\\\implies (x-2)^2 = \left(-\sqrt x \right)^2\\\\\implies x^2 -4x +4 = x\\\\\implies x^2 -5x +4 =0\\\\\implies x^2 -4x-x+4=0\\\\\implies x(x-4) -(x-4)=0\\\\\implies (x-1)(x-4)=0\\\\\implies x = 1~~~~~~;[x = 4 ~ \text{Does not satisfy the original equation}]\\\\\text{Hence, x =1 is the solution.}[/tex]

The value of the expression in standard nation is ….. of( 0.00032)(5.2 times 10^6) divided by 6.4 times 10^5

Answers

Answer:

The answer is 0.0026

Step-by-step explanation:

0.00032 x 5200000 = 1664

1664 divided by 640000 is 0.0026

A student is evaluating the expression below for n = 3.7.
12.8 + 6(n - 0.5)
1. The student substitutes 3.7 for n. Write the new expression.
2. What step should he do next?

Answers

Use pemdas (parenthesis, exponents, multiplication/division, addition/subtraction)
12.8+(6*(3.7-.5))
12.8+(6*3.2)
12.8+(19.2)
=32

You deposit $5000 in an account earning 2% interest compounded continuously. How much will you
have in the account in 10 years?
$

Answers

Step-by-step explanation:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)

Answers

Answer:

yes

Step-by-step explanation:

A right triangle means that

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]

, which means that it follows the rules of the formula, making it a right triangle.

If this answer helped you I would appreciate it if you gave me brainliest :D

This is a picture of a cube and the net for the cube.

What is the surface area of the cube?​

Answers

Answer:

I don’t get it

Step-by-step explanation:

I think it is 5

its 54 also for some reason my comment keeps getting deleted for saying 54??

Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown. Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown.

Answers

The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.

How to illustrate the dimensions?

Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.

In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:

= 2(Length + Width)

= 2(27 + 20)

= 2 × 47

= 94m

In conclusion, 94m will be cleaned.

Learn more about dimensions on:

https://brainly.com/question/19819849

How many solutions are there to the equation below?
x2 = 16
O A. 2
B. 16
C. 1
O D.O
E. 4

Answers

Answer:

A.2

Step-by-step explanation:

x² = 16

take the square root of both sides

x = ±4

there are 2 solutions to the equations, those 2 solutions being 4 and -4

just to double check

4² = 4 × 4 = 16

-4² = -4 × -4 = 16

Help Me On This!!

I already know the answer but i need a short explanation.​

Answers

Answer:

option B

Explanation:

With every increase in side, there is an increase in dots

1 side = 1 dot2 side = 2 dot3 side = 3 dot4 side = 4 dot

=============

Option B has 4 sides and 4 dots.

Lacey worked 40 hr. at $18.75 per hour. Find her pay using P = RH.

Answers

Answer:

750

Step-by-step explanation:

I multiplied the hours she worked by the amount of payment per hour.

Answer:

$750

Step-by-step explanation:

Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:

[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]

From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:

[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]

Then evaluate 18.75 * 40 and therefore the solution is $750

For usage of formula:

P = RH for P = pay, H = hour and R = rate (pay per hour)

So if you use the formula, you’d still end up with P = 18.75*40 which is $750

pls help. Consider the following expression 9u+7v+5+4v.
Select all of the true statements below.

Answers

Answer:

7v and 4v are like terms, 9u is a term, and 5 is a constant.

Step-by-step explanation:

Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.

I need help ASAP or im going to fail

Answers

45? Three non student tickets plus parking so 12*3 +9

Answer:

45

Step-by-step explanation:

Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.

Also given that:

Student tickets: $6

Non-Student tickets : $12

Parking : $9

Thus,

Non- Student tickets:$ 12 (Parents and grandmother are not students)

Parking: $9 ( Since they attend a soccer game they need somewhere to park)

Parents = 2 person (Mom and Dad)

Grandmother = 1 person

1 + 2 = 3

Now,

Since Non-student tickets = $12

3 * 12 +9

36 + 9

45

Hence, the family spend $45 to attend the game.

~lenvy~

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written as a function

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \rm \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \rm  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.

Answers

Find midpoint coordinates:

[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]

[tex]\hookrightarrow \sf (1, \ 3)[/tex]

Find the gradient of MN:

[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]

[tex]\dashrightarrow \sf -2[/tex]

slope of perpendicular bisector:

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Answer:

[tex]y=\dfrac12x+\dfrac52[/tex]

Step-by-step explanation:

M = (-1, 7)

N = (3, -1)

[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line perpendicular to MN is:

[tex]\sf \implies -2 \times m=-1[/tex]

[tex]\sf \implies m=\dfrac12[/tex]

If the line bisects the line MN, it will intersect it at the midpoint of MN:

[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]

Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac12(x-1)[/tex]

[tex]\implies y=\dfrac12x+\dfrac52[/tex]

Please help me solve these problems​

Answers

From the dots the parabola’s are the same size just transitioned to different locations.


blue = y = x^2 + 3

Green = y = (x-4)^2

Orange = y = x^2 - 3

Purple = y = (x+4)^2

An annual percentage rate (APR) includes:

A. both the interest and fees on a loan.

B. only the fees on a loan.

C. neither the interest nor the fees on a loan.

D. only the interest on a loan.

Answers

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]

What type of association is shown by the scatterplot?

Answers

Answer:

Positive

Step-by-step explanation:

The graph goes up (puff puff positive)

Other Questions
Microwaves make _________ get hot. They make water molecules _______ against each other. The water molecules turn into ___________ and _____________ the popcorn.please help Several of the major reform movements were started in the same region of the United States. What region was this, and why do you think many efforts toward social reform began there? Quickly!!! Read the excerpt from a short story. I stood against the far wall of the shabby lobby avoiding eye contact with the doorman as my dad checked us in for the night. Wed hoped to make it as far as scranton, but the weather had interfered, leaving us instead at an eyesore of a truck-stop motel. My ear buds were jammed in as far as comfort would allow in a vain attempt to block out the motels vibe. Still, i could not ignore the looming presence of the doorman. He stood in the dim portico, sweeping and re-sweeping a pile of lint on the floor, watching the parking lot with his watery eyes, and occasionally signaling to the whiskered clerk behind the desk. What technique does the author use to build suspense in the excerpt?. The science of classifying organisms is rewrite the moral in your own words Write down the statement about bombs that differentiate bombs from artillery ammo, rockets, and missiles. who was the greek god of the underworld?Hades, Poseidon, Zeus, Death. kind of a detailed answer1. Compare and contrast the responsibilities and skills required for production jobs versus service jobs in the food service industry. What is the essential difference between these two areas in the industry? Based on your inherent characteristics and skill set, which do you feel you are better suited for and why?2. You have decided to pursue a career in food sanitation and want to prepare for whatever is required to obtain this certification. Research what is required to obtain this certification in your state. How would you prepare to meet these requirements? Explain.3. While you likely understand what items are included in a resume and career portfolio, why are these items necessary for obtaining a job? Evaluate and analyze the importance of a resume and portfolio when seeking a job and explore what impact not having these items would have on your job search.4. As assistant manager, your boss has asked you to choose an employee of the month who demonstrates a proactive understanding of self-responsibility and self-management. What type of actions or behaviors would you look for when choosing this employee? Describe an employee that demonstrates this behavior and how they demonstrate it.5. You are helping your younger brother apply for jobs now that he has finished high school and needs a summer job before going off to college. What documents do you help him collect so that he is prepared for the job application process? Why? You also want to familiarize him with various forms he may need to fill out when hired: I-9, work visa, W-4, and any other licenses or certifications. Explain each of these and their importance so that he is prepared. Please help me on this its due now x^2-8x+16=3 solve using square roots tag question of let me sing a song 1. What is the amazing story about? 2.Who are the characters in the story?3. When and where did the events happen? 4.Why do people love and adore Chichi?5. How did Chichi became a frontliner dog? PLSSS HELP IF YOU TURLY KNOW THISS giving branly to the frist one to answer and give the best and right answer Paul uses a coordinate plane to design his model town layout. Paul moves the market 2 units left and 3 units down. He says the ordered pair for the new location of the market is (0, 6). Explain Pauls mistake and write the correct ordered pair for the new location of............................ your answer PLEASE HELP PLEASE PLEASE HELP PLEASE The yearly profits of a company is $52,000. The profits have been decreasing by 2.75% per year. Whatwill be the profits in 4 years? Silver + ... Silver oxide pls i need the correct answer auto report when you're not sure to your answer or its wrongwhich of these materials is best used as a lubricant to reduce friction on gearsa.sandb.oilc.waterd.alcohkl The first steps in writing f(x) = 3x2 24x 10 in vertex form are shown. f(x) = 3(x2 8x) 10 (startfraction negative 8 over 2 endfraction) squared = 16 what is the function written in vertex form? f(x) = 3(x 4)2 6 f(x) = 3(x 4)2 38 f(x) = 3(x 4)2 6 f(x) = 3(x 4)2 38 help ASAP i need to finish this! i will get in trouble if i dont