what is the constant of porportionality of the relationship shown in the graph.

What Is The Constant Of Porportionality Of The Relationship Shown In The Graph.

Answers

Answer 1

Answer: The answer is 3

Step-by-step explanation:

The constant of proportionality of the relationship shown in the graph is 3 and this can be determined by using the two-point slope form of the line.

Given :

The graph of a straight line is given.

The following steps can be used in order to determine the constant of proportionality of the relationship shown in the graph:

Step 1 - The two-point slope form of the line can be used in order to determine the constant of proportionality of the relationship shown in the graph.

Step 2 - The two-point slope form of the line is given below:

y - y1 / x - x1 = y2 - y1 / x2 - x1

where (x1, y1)  and (x2, y2)  points on the line.

Step 3 - So, substitute (1,3) and (2,6) in the above equation.

y - 3 / x - 1 = 6 - 3 / 2 - 1

Step 4 - Simplify the above equation.

(y - 3) = 3(x - 1)

y - 3 = 3x - 3

y = 3x

So, the constant of proportionality of the relationship shown in the graph is 3. Therefore, the correct option is B).

For more information, refer to the link given below:

brainly.com/question/2564656

Hope this helps

~"Gamer"~


Related Questions

during a winter's day. the low temperature was 21f. the wind chill temperature that same day was -8f what is the difference between the wind chill temperature and the low temperature

Answers

Answer:

29 degrees

Step-by-step explanation:

Once a week, Dianne spends 5 hours making windchimes.
It takes her 30 minutes to make a small windchime and 40
minutes to make a large windchime. This week, Dianne
will make twice as many small windchimes as large
windchimes. How many of the small windchimes will
Dianne make this week?

Answers

Let's take No. of large windchime be x

then no. of small windchime be 2x

now, time taken to make one large windchime is 40min and time taken to make one small windchime is 30min.

Total time is 5 hours = 300 min

so time taken to make all large chimes= 40x

time taken to make small chimes = 30*2x= 60x

total time = 300 min

40x + 60x = 300

100x = 300

x = 300/100

x = 3

total small windchimes = 2x = 2*3=6

total large windchimes = x = 3.

so I hope it's helpful. It really took some time

What are the values of b and c?

Answers

Since a= 10, we know that b = 4a - 5

 --> b = 4(10) - 5 = 40 - 5 = 35

By looking at the table at the left, the value of of c that goes with a when a = 10 is

--> 19.

So b = 35 and c = 19.

Hope that helps!

first answer = brainliest

Answers

Answer:

e = -4

step-by-step explanation:

2e + 3 + 7 = 2

2e + 10 = 2

2e = 2 - 10

2e = -8

e = -8/2

e = -4

verification:

2e + 3 + 7

2(-4) + 3 + 7

-8 + 10

2 ... Therefore proved.

Answer:

e = -4

Step-by-step explanation:

2e + 3 + 7 = 2

2e + 7 = -1

2e = -8

e = -4

First I subtracted the 3 off both sides to keep the equation equal getting me -1. Then i subtracted off the 7 from both sides getting me -8. Finally, i divide both sides by 2 and get -4. E will equal -4.

Have an amazing day!!!

PLEASE RATE!!

Given a test statistic of t = 3.018 of a left-tailed test with n = 13, use a 0.01 significance level to test a claim that the mean of a given population is equal to 85. Use Table A-3 to find the range of values for the P-value and state the initial conclusion.

A. 0.005 < P-value < 0.01; reject the null hypothesis
B. P-value < 0.005; reject the null hypothesis
C. 0.005 < P-value < 0.01; fail to reject the null hypothesis
D. P-value < 0.005; fail to reject the null hypothesis

Answers

Answer:

A. 0.005 <P-value < 0.01; reject the null hypothesis

3.
7 yd
4 yd
18 yd
11 yd
14 yd

Answers

Answer:

54

Step-by-step explanation:

7 + 4 + 18 + 11 + 14

i hope this work for you

Which polynomials are prime? Check all that apply. X2 4 x2 – 5x 2 x2 10x – 24 x2 – x 27 2x3 – 4x 5x2 – 10.

Answers

If the polynomial is having only two factors then the polynomial is a prime polynomial that is shown below.

[tex]\rm x^{2} +4\\\\ x^{2} -5x +2\\\\ x^{2} -x + 27 \\\\2x^{3} -4x + 5\\\\[/tex]

What is a prime polynomial?

The polynomial that has only two factors is known as a prime polynomial.

The polynomials are

[tex]\rm 1. \ \ x^{2} +4\\\\2. \ \ x^{2} -5x +2\\\\3. \ \ x^{2} +10x -24 \\\\4. \ \ x^{2} -x + 27 \\\\5.\ \ 2x^{3} -4x + 5\\\\6. \ \ 5x^{2} - 10[/tex]

The factor of the given polynomial will be

1.  [tex]\rm x^{2} + 4[/tex] is a prime factor. Because it has only two factors.

2.  [tex]\rm x^{2} -5x + 2[/tex] is a prime factor. Because it has only two factors.

3.  [tex]\rm x^2 + 10 x - 24[/tex] is not a prime factor. Because it has more than two factors.

4.  [tex]\rm x^2 - x + 27[/tex] is a prime factor. Because it has only two factors.

5.  [tex]\rm 2x^3 - 4x + 5[/tex] is a prime factor. Because it has only two factors.

6.  [tex]\rm 5x^2 - 10[/tex] is not a prime factor. Because it has more than two factors.

More about the prime polynomial link is given below.

https://brainly.com/question/17490039

Identify two examples from different sources of how the ancient Inca benefited from their skills as stonemason and master builders. Explain each example benefited ancient Inca society. Cite the source for each example by title or number

Answers

The ways that the Inca benefitted from their skills as stonemasons and master builders were:

They built walls to defend them from enemies.They constructed buildings for shelter.

What were the benefits of Ancient Inca stonemasonry?

Thanks to their skills as master builders and stonemasons, the ancient Inca were able to construct large walls around their cities which protected them during times of conflict.

Their construction skills also allowed them to build great houses that gave them shelter from the weather elements thereby ensuring their survival and growth as a civilization.

Find out more on Inca buildings at https://brainly.com/question/1036358.

Henry saved 25% of his paycheck last week. If his paycheck was $800, how much did he save?

this is almost due so i really need the help thank you

Answers

He saved $200.
25% as a decimal is 0.25. Since we want to find 25% of 800, we would have to multiply 800 * 0.25 to find the percent Henry saved.

800 * 0.25 = 200. :)

While at a pet store, your friend bought 10 goldfish each costing the same amount. Your friend also bought a fish take for $50. At the register, the total came to $59.90. Write and solve an equation to figure out the cost of each goldfish.​

Answers

Answer:

(59.90 - 50)/10

Step-by-step explanation:

(its 0.99)

A crew of highway workers paved 2/15 mile in 20 min​
If they work at the same rate what portion of a mile will the pave in one hour

(Please explain your answer)

Answers

Answer:

6/15 or simplified 2/5

Step-by-step explanation:

id.k if this is right :))

Giving brainlyist to the first to answer with a correct and complete answer.

Answers

Answer:

carrect answer is : multiply 40x20

Answer:

D. Multiply 40 x 8

Step-by-step explanation:



Quadrilateral JKLM is a parallelogram. What is the m kjn

Answers

Answer:

solution: KL-2ML. LKIN=63x2=126*

Step-by-step explanation:

Mark me brainliest!!

simplify, the fraction 24/36

Answers

Step-by-step explanation:

24/36

=2/3

Hope it helps

Answer:

2/3

Step-by-step explanation:

12×2 = 24

&

12×3 = 36

=2/3

(would appreciate it if you could mark me the brainliest :))

need help on this question !!!

Answers

P= (3.14x10)*2 +50*2 =62.8+100=162.8

Simplify 7 to the power of 8 x 7 to the power of 3 x 7 to the power of 4 divide 7 to the power of 9 x 7 to the power of 5

Answers

You can get the app Air Math I have the app and it helps a lot

After simplification, the value of expression is, 1.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 7⁷ × 7³ × 7⁴ / 7⁹ × 7⁵

Now, Simplify as;

⇒ 7⁷ × 7³ × 7⁴ / 7⁹ × 7⁵

⇒ 7¹⁴ / 7⁴

⇒ 7⁰

⇒ 1

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

please hurry! will give brainliest

Answers

Answer:

Step-by-step explanation:

If we think about a right triangle, we get that the hypotenuse is 24ft or the length of the ladder. The base of the ladder is 15ft away from the building which is the leg of the right triangle. The screenshot is the diagram (my drawing isn't that good lol:))

Thus we can use cosine function with the angle between the ladder and the ground since we need to find the angle and we get

[tex]cos\alpha = \frac{15}{24}[/tex]

and [tex]\alpha = 51.3 degrees[/tex]

The angle is 51.3 degrees hope that helps!

James is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8,000, then how much will he be charged in interest after 4 years?

Answers

Answer:

960

Step-by-step explanation:

I used a calculator but its 3% of $8,000 (which I'm pretty sure is 8,000 divided by 3) x 4 so in that's 240x4 which equals 960. Hope this helps have a good day!

Answer:

$960

Step-by-step explanation:

Simple interest is interest that goes up the same amount each period. The formula for simple is A=P(1+rt), where is A is the total amount, P is the principal (aka initial amount), r is the rate (in decimal form), and t is the time.

So, to solve we can use the equation, A=8000(1+0.03*4). In this equation A=8960, meaning that in 4 years the total amount owed, including the initial loan, will be $8960. Since the difference between the principal and the total amount is 960, $960 is the amount paid in interest.

What is the perimeter?

Answers

Answer:

19.25 inches

Step-by-step explanation:

x^2 + 5^2 = 8^2= 64

25+ x^2 = 64

x^2 = 64-25= 39

x = 6.24

perimeter = 19.24

☆Given :

[tex] \\ [/tex]

BC = 5 in

AC = 8in

AB = x (in)

[tex] \\ [/tex]

☆To find :

[tex] \\ [/tex]

Perimeter of triangle

[tex] \\ [/tex]

☆Solution:

[tex] \\ [/tex]

So to find perimeter of triangle first we have to find value of x.

[tex] \\ [/tex]

As it's Given one angle is 90°

So we can find value of x by using this formula:-

[tex] \\ [/tex]

Hypotenuse ² = Base² + perpendicular ²

[tex] \\ [/tex]

Where :-

Hypotenuse is AC

Base is BC

Perpendicular is AB

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢AC² = BC² + AB²

[tex] \\ [/tex]

⇢8² = 5² + x²

[tex] \\ [/tex]

⇢64 = 5² + x²

[tex] \\ [/tex]

⇢64 = 25 + x²

[tex] \\ [/tex]

⇢25 + x² = 64

[tex] \\ [/tex]

⇢x² = 64 - 25

[tex] \\ [/tex]

⇢x² = 39 in.

[tex] \\ [/tex]

⇢x = √(39)

[tex] \\ [/tex]

⇢x = 6.2

[tex] \\ [/tex]

Now Let's find perimeter of triangle.

We know :-

Perimeter of triangle = Side one + side two + side 3

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢Perimeter of triangle = AB + BC + AC

[tex] \\ [/tex]

⇢Perimeter of triangle = 5 + 8 + 6.2

[tex] \\ [/tex]

⇢Perimeter of triangle = 13 + 6.2

[tex] \\ [/tex]

⇢Perimeter of triangle = 19.2 in.

4. A ball is thrown with an initial velocity of 70 feet per second, at an angle of 35° with the horizontal. Find the vertical and horizontal components of the velocity.



5. A ship is heading due north at 12 mph. The current is flowing South 45° West at 4 mph. Find the actual direction and speed of the ship.




6. An airplane is flying in a direction of 65 degrees at 450 mph. A wind is blowing in a direction of 20 degrees at 35 mph. Find the actual speed and direction of the plane

Answers

Yep I got the new ones I have no one for the day and the ones I’ve ever

Find x . Round your answer to the nearest tenth of a degree. 35 25 x

Answers

Answer:X=54.5°

Step-by-step explanation:

What’s the correct one? I have no idea please help

Answers

Answer:

22π cm³

Step-by-step explanation:

Let's start with the formulas for volume:

volume of cylinder = πr²h

volume of cone = (1/3)πr²h

Notice the formulas above for the volume of a cylinder and the volume of a cone. The only difference is that the volume of the cone has the fraction 1/3 multiplying the rest, and the rest is exactly the same as in the volume of the cylinder.

That means that if a cylinder and a cone have the same radius and height, the volume of the cone is 1/3 the volume of the cylinder.

Here, the cylinder and cone do have the same radius and height. That means the volume of the cone is 1/3 the volume of the cylinder.

The volume of the cylinder is 66π cm³.

The volume of the cone is 1/3 of that volume, so divide 66π cm³ by 3 to find it.

volume of cone = 66π cm³ / 3 = 22π cm³

Answer: 22π cm³

g(x) = 3/(x - 2) - 1



Find the inverse function

Answers

Answer:

2

Step-by-step explanation:

g(3)=3/(3-2)-1

3/1-1

3-1

2

Someone help now please write this on paper

3(m+7) = 6(m+2)

Answers

Answer: m = 3

Step-by-step explanation:

We can distribute both sides.

3*m + 3*7 = 6*m + 6*2

3m + 21 = 6m + 12

We can now combine like terms.

3m = 9

m = 3

Which statement about the stamps is correct?

The total number of stamps is 25.
The total value of the stamps is $18.75.
The total number of stamps is 35.
The total value of the stamps is $19.15

Answers

Answer:

35

Step-by-step explanation:

i did the quiz

Answer:

35

Step-by-step explanation:

10(x-2)=-2(4/3+7x)
help please

Answers

Answer:

13/18 is  the correct answer to 10(x-2)=-2(4/3+7x)

Step-by-step explanation:

Hope this helps!!!

Simplify the expression below. (10x+1)3x+5(5x)

Answers

Answer:

38x

Step-by-step explanation:

{(10x+1)3x}+5(5x)

10x+3x+25x=38x

Answer:

2x*(15x+14)

Step-by-step explanation:

First Step:

(3 • (10x + 1) • x) +  25x

Second Step:

 3x • (10x + 1) +  25x

Third Step:

.....

Fourth Step:

Pull out like factors :

30 x 2 + 28x  =   2x • (15x + 14)

Final result :

 2x • (15x + 14)

16) The actual distance from Juan's home to Lake Mimo is 120 miles. The distance on a map is 2.5 inches. What scale could have been used for the map? ​

Answers

Answer: 1/48

Step-by-step explanation:

Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48

Hope this helps!

π = 3.142 and r = 3cm. find the volume of the sphere​

Answers

Answer:

113.112 cm³

Step-by-step explanation:

Volume (sphere) = 4/3πr³

= 4/3 x 3.142 x 27

= 36 x 3.142

= 113.112 cm³

What is the future value if $18733 is invested at 5.1% for 10 years, compounded quarterly

Answers

Answer:

Step-by-step explanation:

The compound interest formula is [tex]P(1+r/n)^{nt}[/tex]

P: the initial amount of cashr: interest raten: # of times that interest is compounded per time periodt: # of time periods

Known information:

P: 18733r: 5.1% or 0.051n: quarterly or 4t: 10 yrs

Now let's set up the equation:

  Future amount: [tex]18733 (1+\frac{0.051}{4} )^{4*10}[/tex] [tex]=31,095.49[/tex]

Thus the future amount is $31.095.49.

Hope that helps!

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