how to find the constant of proportionality on a graph

How To Find The Constant Of Proportionality On A Graph

Answers

Answer 1
Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate.

Related Questions

6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)

Answers

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

                                                        f(x) = (-1/2)(x^2 + 8x - 15)

The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function has x-intercepts at (-3,0) and (5,0),

The function  has two roots:  -3 and 5

So, the equation is a quadratic equation represented by

f(x) = a(x + 3)(x - 5)

The function goes through the point (1. 8)

y = 8 when x = 1

f(1) = a(1 + 3)(1 - 5) = 8

-16a = 8,

a = (-1/2)

f(x) = (-1/2)(x + 3)(x - 5)

f(x) = (-1/2)(x² + 8x - 15)

To know more about Function

https://brainly.com/question/12431044

#SPJ5

What is the equation of the line that passes through the point (4, -2) and has a slope of -2???

Answers

Answer:

.

Step-by-step explanation:

Answer:

y=mx+c

Step-by-step explanation:

A woman received 5 per cent interest on a loan of $300 for 1 year. How much interest did she receive? $5 $15 $30 $150 none of these

Answers

Answer:

15$

Step-by-step explanation:

this is because if you use our formula of I= prt

we can substitute our varibles for our equation

I= 300 x 0.05 x 1

we turn 5 in 0.05 to represent out rate, due to this our rate would have to be Simplified into a percent then a decimal

after this if we now proceed through our equation we will get

I = 300 x 0.05 x 1

I = 15

Please please help me

Answers

Answer:

The perimeter of the figure will be 62.8 or B

Step-by-step explanation:

1) The radius is 10

2) Perimeter basically means circumference

3) The formula for circumference is 2πr

4) 2π*10

5)2*pi=6.28*10=62.8

How far does a turtle travel in five minutes

Answers

Answer:

A turtle travels about 90 feet

Because if a turtle can travel 450 feet within 25 minutes, then dividing 25 by 450 is 18 feet per minute, but if you multiply 5 minute x 18 feet, you get 90 feet in all.

So, a turtle can travel 450 feet per 25 minutes,

18 feet per minute, and

90 feet per 5 minutes

Hope this helps and I hope it is right, I used my skill thinking to solve this. So, please let me know if it did help and you do get it.

Ms. Li opened a retirement account with adeposit of $2,500. This account earns 4% simple interest annually. How many years will it take her to earn $500 on her $2,500 deposit?

Answers

Answer:

5 years

Step-by-step explanation:

Use the simple interest formula: I = prt

Plug in 500 as I, since that is the amount of interest being earned.

Plug in 2,500 as P and 1.04 as r.

I = prt

500 = (2,500)(0.04)t

500 = 100t

5 = t

So, it will take 5 years to earn $500 on the deposit.

Find x. Round to the nearest degree.

Answers

Answer:  56 degrees approximately

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

Work Shown:

tan(angle) = opposite/adjacent

tan(x) = 15/10

tan(x) = 1.5

x = arctan(1.5)

x = 56.3099 approximately

x = 56 degrees

Note: arctan is the same as inverse tangent

Help



Will


Give BRIANLIST

Answers

Answer:

area of the figure=length×width

=6(X+6)

=6x+36 sq feet

answer is the second option

Answer:

B is the answer. This gives us the equation 6(x+6), where we multiply 6 by both values inside the equation. 6x + 36 is the answer. Happy learning!

Happy learning!

--Applepi101

3x=1/81 what is the value of x?​

Answers

Answer:

hello

3x = 1/81

x = 1/ 81*3

x = 1/243

Step-by-step explanation:

Answer:

x=(1/81)/3

x=1/243

Step-by-step explanation:

Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket

Answers

Given:

Total amount spend on movie = $75

Each friend bought a ticket and a small popcorn that cost $8.25.

To find:

The price of each ticket.

Solution:

Let x be the price of each ticket.

Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]

Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]

It is given that, the total amount spend on movie is $75. So,

[tex]3(x+8.25)=75[/tex]

[tex]x+8.25=\dfrac{75}{3}[/tex]

[tex]x+8.25=25[/tex]

Subtract 8.25 from both sides.

[tex]x=25-8.25[/tex]

[tex]x=16.75[/tex]

Therefore, the cost of each movie ticket is $16.75.

9. A sector of a circle has central angle
[tex] \frac{\pi }{4} [/tex]
and area
[tex] \frac{49\pi}{8} [/tex]

[tex] {cm}^{2} [/tex]
. Find the radius of the circle​

Answers

Answer:

Step-by-step explanation:

Begin with the formula for the area of a sector:

[tex]A=\frac{\theta}{2\pi}*\pi r^2[/tex] and we are given everything except the radius, r. Filling in what we know:

[tex]\frac{49\pi}{8}=\frac{\frac{\pi}{4} }{2\pi}*\pi r^2[/tex] and then start the simplification process. I began by dealing with the fraction over a fraction thing, which simplifies the equation to:

[tex]\frac{49\pi}{8}=\frac{1}{8}\pi r^2[/tex] then isolate the r-squared:

[tex]\frac{8(49\pi)}{8\pi}=r^2[/tex]. Canceling out the π's and the 8's leaves us with simply

r² = 49 so

r = 7

can someone help me please with solution

Answers

could you upload another picture?

Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage

Answers

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

[tex]L= 3W_1[/tex] ---- initial dimension

[tex]W_2 = 6m[/tex] --- new width

[tex]A_2 = 45m^2[/tex] --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

[tex]Area =Length * Width[/tex]

[tex]A_2=L * W_2[/tex]

Make L the subject

[tex]L = \frac{A_2}{ W_2}[/tex]

Substitute values for A and W

[tex]L = \frac{45m^2}{6m}[/tex]

[tex]L = \frac{45m}{6}[/tex]

[tex]L = 7.5m[/tex] --- this is the length of the garden

Calculate the initial width:

[tex]L= 3W_1[/tex]

Make W1 the subject

[tex]W_1 = \frac{1}{3} * L[/tex]

[tex]W_1 = \frac{1}{3} * 7.5[/tex]

[tex]W_1 = 2.5[/tex]

So, the initial area is:

[tex]A_1 = L_1 * W_1[/tex]

[tex]A_1 = 2.5 * 7.5[/tex]

[tex]A_1 = 18.75[/tex]

The percentage change in area is:

[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]

[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]

[tex]\%A = \frac{26.25}{18.75}[/tex]

[tex]\%A = 1.4[/tex]

Express as percentage

[tex]\%A = 1.4*100\%[/tex]

[tex]\%A = 140\%[/tex]

[tex]\sqrt{25-10\sqrt{3}+3 }[/tex]

Answers

Here is your answer: )

What is the simplest radical form of the expression?
(8x^7y^4)^2/3

Answers

Answer:

[tex]4x^4y^2\sqrt[3]{x^2y^2}[/tex]

Step-by-step explanation:

Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex].

Therefore, we have:

[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}[/tex]

Use the exponent property [tex](a^b)^c=a^{(b\cdot c)}[/tex] to simplify:

[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}=\sqrt[3]{64x^{14}y^8}=\boxed{4x^4y^2\sqrt[3]{x^2y^2}}[/tex]

hey pls help asap
it's urgent due within 1 hr​

Answers

Answer:

I.       C. Both A and B

II.      D. All of the options

III.     B. Help in making people a valuable resource

Find the slope of the line.
Ay
A(-2, 4N
4
Х
-4 --2 0
4
2
B(3,-2)
-4

Answers

i hope this helps and i hope you have a good day :)

find the missing
missing length y
the Shape
below​

Answers

Answer:

12

Step-by-step explanation:

13^2=5^2+y^2

y^2=5^2-13^3

y^2=25-169

y^2=144

y=square root of 144

y=12

Answer:

12)

Step-by-step explanation:

For this, I used the Pythagorean Theorem, because I assumed that this was a right triangle. First of all, I first know that 13 would be the longest side in length. 13 x 13 = 169cm. Then I do the same with 5. 5 x 5 = 25cm. Finally, I subtract 25 from 169 to get 144. I then find the square root which would be 12. For more info, use the following formula:

a^2 + b^2 = c^2

Hope this helps!

-kiniwih426

Find measure of angles B, E, D and C and the length of BC.

Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

BRAINLIEST PLEASE HELP!
Write the standard equation for the circle center (-6 -8) that passes through (0 0)

Answers

Answer:

(x + 6)² + (y + 8)² = 100

Step-by-step explanation:

The standard equation for a circle is (x - a)² + (y - b)² = r²

If you find the r² of this circle, you will get 100, and there's just one equation with 100

The choices are a.2 b.4 C. 1/2 D. 1/4

Answers

Answer:

b

Step-by-step explanation:

I can't explain it but the answer is b

Find the inverse of y=5^x-9
(the -9 is not in the power)

Answers

Step-by-step explanation:

y = 5^x -9

5^x = y + 9

x = ^5 log (y+9)

f~'(x) = ^5 log (x+9)

a rectangular solid box measures 2.75 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth

Answers

Answer:

445.5 feet

Step-by-step explanation:

Our first step is to get them to like terms. The only different term is inches. 480 inches = 40 feet.

We find volume by multiplying length x width x height. So 2.75 x 4.05 x 40 = 445.5 feet.

. If one of the zeroes of the quadratic polynomial (k-1) x2 +k x +1 is -3 then what is the value of k?

Answers

Answer:

k = 1¹/₃

Step-by-step explanation:

Comparing (k-1)x² + kx + 1 with ax + bx + c where α, β be the zeroes of the quadratic equation, then

α + β = -b/a = -k/(k - 1) and αβ = c/a = 1/(k - 1)

Since one of the zeros is -3, β = -3

So,

α + β = -k/(k - 1)

α + (-3) = -k/(k - 1)

α - 3 = -k/(k - 1)  (1)

and

αβ = 1/(k - 1)

-3α = 1/(k - 1)    (2)

From (1), α = 3 - k/(k - 1)  (3)

Substituting equation (3) into (2), we have

-3α = 1/(k - 1)

-3[3 - k/(k - 1)] = 1/(k - 1)

-9 + 3k/(k - 1) = 1/(k - 1)

-9 = 1/(k - 1) - 3k/(k - 1)

-9 = (1 - 3k)/(k - 1)

cross-multiplying, we have

-9(k - 1) = 1 - 3k

expanding the brackets, we have

-9k + 9 = 1 - 3k

collecting like terms, we have

-9k + 3k = 1 - 9

-6k = -8

dividing through by -6, we have

k = -8/-6

k = 4/3

k = 1¹/₃

Question 3 Look at the diagram below. If XY = 7 and XZ = 30, what is the value of t? 7 2t - 1 X Y Z​

Answers

Answer:

Step-by-step explanation:

go to brainly.com

PLEASE HELP ME WITH THIS QUESTION AND SHOW YOUR WORK

Answers

Try it and see look In the corner

A city's water tower is built using a right circular cone and a right cylinder, as shown.

About how many cubic feet of water can this tower hold, when completely full? What is the volume and surface area of the cylinder made from this net?

A. 89,019 cubic feet
B. 953,775 cubic feet
C. 6358.5 cubic feet
D. 2,142,000 cubic feet

Answers

The answer is B

Volume of the cone: 63617.25
Volume of the cylinder: 891000

Hope this helps ;)

Anyone know the answer ?

Answers

Answer:

is the name of your school alpha omega, because i recogize the bottom of the page

Step-by-step explanation:

Plz Help! Ill give brainiest to whoever answers!!!

Answers

1. 54

2. 63.5

3. 23

4. 1.80125

Answer: Just find the mean by using math

Step-by-step explanation:

Solve x2 + 8x + 7 = 0 by completing the square. Which equation is used in the process?

Answers

Answer: x = -1, -7

Step-by-step explanation:

I used internet

Answer:

x = -1   or   x = -7

Step-by-step explanation:

x^2 + 8x + 7 = 0

x^2 + 8x + ____ = -7 + ____

To complete the square, we add the square of half of the x-term coefficient to both sides.

x-term coefficient: 8

half of it: 4

square it: 4^2 = 16

We add 16 to both sides.

x^2 + 8x + 16 = -7 + 16

(x + 4)^2 = 9

x + 4 = +/- sqrt(9)

x + 4 = 3   or   x + 4 = -3

x = -1   or   x = -7

Other Questions
A lens with a focal length of 20 cmcm is placed 45 cmcm in front of a lens with a focal length of 5.0 cm. How far from the second lens is the final image of an object infinitely far from the first lens? The complete combustion of methane can be seen in the equation: CH4 + 2 points202 - CO2 + 2H2O If 50 g of methane are reacted completely, whichstatement describes the reaction? *O The total mass of the reactants is 50 g.O The total mass of products is 50 g.O The total mass of products is less than 50 g.The total mass of reactants is greater than 50 g. The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student who attended. The total cost for the dinner was $944.How many students attended the dinner? a) Write an equation you could use to solve the problem. b) Solve the equation. Verify the solution.CAN SOMEONE GIVE ME THE ANSWERS AND EXPLANATION FOR THIS QUESTION IN SIMPLE FORM PLEASEEEEEEEEE I CANT FAIL Find the product of (4z2 + 7z 8) and (z + 3).The product of (4z2 + 7z 8) and (z + 3) is 4z3 + z2 + z 24. What were Japanese Internment (Prison) camps REALLY like?And remember if you dont know the answer or dont understand it and just want points dont even bother to write a ANSWER down because it is irritating and annoying and it lastly wastes my time and has no help towards me!!!! Please help! Does these set of numbers form a Pythagorean triple? Explain. 8,6,9 need some help............... Cual es l diferencia entre ruido y sonido How do the passages work together to develop a central idea? The passages show how Alvarezs family was affected by the parsley massacres when they returned. The passages show how Alvarez and her family were tricked into returning to the Dominican Republic. The passages show how people often did not know or understand the extent of Trujillos deceit. The passages show how the events of Trujillos dictatorship are still not fully understood today. What are the steps in finding the average height? Plz help ty :>(Problem-solving questionsUse the problem-solving steps to develop an algorithm to solve the following problem...Calculating the average height of all the children in your class) Write your answer in its simplest form, please To whom is Odysseus speaking?O the muse of poetryO AlcinousO CalypsoO a group of his men What is an equation that represents the line that passes through the points (1, 1) and (-2, 7)? Solve x2 8x + 15 < 0.Select the critical points for the inequality shown. I need this ASAP. Thanks What does Jimmy Fallon do to impersonate the persona of other comedians?A. He acts like the person would privately with his family.B. He talks behind a cardboard cutout of the person.C. He employs the same mannerisms of the person.D. He uses sound effects to simulate their voices El estmago es un rgano parecido a un saco que contiene los alimentos y comienza a digerirlos segregando jugo gstrico. De qu sistema o aparato es parte el estomago? * She forced him ________ the work.(A) does (B) do (C) did (D) to do Assume (1) a predetermined overhead rate of $8.00 per machine-hour, (2) actual machine-hours worked during the period of 54,000 hours, and (3) estimated machine-hours to be worked during the coming period of 55,000 hours. The amount of overhead applied to production during the period is closest to: Factor x26x+8 (x+2)(x+6) (x4)(x2) (x5)(x3) (x+4)(x4)