why does the graph of a proportional relationship must pass through the origin (0,0)

Answers

Answer 1

Answer:

Directly proportional relationships always pass through the origin (0,0). There are other linear relationships that do not pass through the origin.

Answer 2

The graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.

What is a graph?

The relation between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and connecting lines. It doesn't matter how long the lines are or where the points are located. A node is specified for each element in a graph.

A ray is used to describe any proportional relationship using an equation of the form y = kx. The ordered pair (0, 0) satisfies this equation regardless of the value of k, hence the ray or line must traverse the origin.

Thus, the graph of a proportional relationship must pass through the origin (0,0). Because of the value of k, the ordered pair (0, 0) satisfies this equation.

Learn more about the graph here,

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Related Questions

Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing the account.

No money was deposited into or withdrawn from the account.

How many years was the money in the account?

Round your answer to the nearest whole year.

Answers

Answer:

6

Step-by-step explanation:

7.5 % × 500 = 37.5

37.5 × 6 = 225

Answer:

6

Step-by-step explanation:

What is the remainder of 2x3 − 7x2 + 5x − 1 divided by (x − 3)?

−211
5
−133
2

Answers

By the remainder theorem, the remainder upon dividing p(x) = 2x³ - 7x² + 5x - 1 by x - 3 is p(3),

p(3) = 2(3)³ - 7(3)² + 5(3) - 1 = 5

Need help with this problem and a step by step explanation

Answers

the answer b
(i can’t explain and if i did it would be confusing)
but here’s this:
the lower the number, the more to the right

Need answers ASAP
I will give brainliest to first who responds

Answers

Sksjsksjdjjdjdjdjrjjdjdjtirirjkr

Dylan makes $336 for 32 hours of work, and Angela makes $420 for 42 hours of work.

1] How much do Dylan and Angela each make per hour?

2] Is Dylan’s wage for 25 hours proportional to Amber’s wage for 42 hours? Why or why not?

Answers

Answer:

Step-by-step explanation:

1 . Dylan : $336/32 hrs = 10.50/ hr Angela : $420/42hrs = $ 10.00/hr

2. No because $ 10.50x25 262.50 where ambers is 15 420 there unit rate is different.

Dylan $10.5 per hour
Angela $17.5 per hour
no its not proportional because half of 50 is 25 so therefore 42 would not be prportional to 25

The crew on a fishing boat caught four fish that weighed a total of 1,080 pounds. The
tarpon weighed twice as much as the amberjack
and the white marlin weighed twice
as much as the tarpon. The weight of the tuna was 5 times the weight of the
amberjack
How much did each fish weigh?
The amberjack weighed
pounds.
The tarpon weighed
pounds.
The marlin weighed
pounds.
The tuna weighed
pounds.
Kk

Answers

Answer:

Step-by-step explanation:

First, We highlight key details. Here we can use the information 1,080 pounds, tarpon weighed twice as much as the amberjack, the white marling weighed twice as much as the tarpon, and the tuna weighed 5 times the weight of the amber jack. And....I'm lost. Do you think you could help me figure it out by finding the first one? if you do that would be great, and I'll be sure to update my question. Thank you! ^^)

12(8 – 5) idk to anwsher plz hefp

Answers

Answer:

36

Step-by-step explanation:

12(8-5)

12 * 3

36

Answer:

36

Step-by-step explanation:

(8-5) =3  then u do

12x3=36

what is the value of x in the equation 2/3(6x-9)=2(x+12)

Answers

Answer:

x=15

Step-by-step explanation:

hope this helps

Explain how you can determine that the following
system has one unique solution – without actually
solving the system.

2x+y = 4
2y = 6- 2x

Answers

you can graph it with the calculator or on graph paper and see where the two lines would cross
you would put them in slope-intercept form (y=mx+b)

so
2x + y = 4 would become
y = -2x + 4

and

2y = 6 - 2x becomes
y = -x +3

graph them and see where they cross. hope this helps!!

There are 16 squares and 20 triangles. What is the simplest ratio of squares to total shapes?

Answers

Answer:

1:6

Step-by-step explanation:

There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.

Hope this helps!

There is a total of 16 squares, then the ratio of squares to total shapes is 4:9.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given information provided by the question is,

Total number of squares = 16

Total number of shapes = 16 + 20 = 36

Ratio between squares and total shapes,

= 16 : 36

= 4 : 9.

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What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

Answers

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

i need your help and to try this out so can you please answer dis
-2(x+6)

Answers

Answer:

12x - 12

Step-by-step explanation:

-2(x  + 6)

open the parenthesis

-2 * x + -2 * 6

-2x - 12

-2x - 12

PLEASE help it's due like right now

Answers

Answer:

B (6,7)

Step-by-step explanation:

point x has moved 2 places left, so you move z to places left

I think the answer would be B:)

I need help really quickly with this one!

Answers

Answer: A (y = 1)

Step-by-step explanation:

when dividing, dividing by 0 equals an undefined fraction, therefore, if y was equal to 1, it would cancel out the y - 1, making it 0. I hope that's right :0

A taxi driver charges a fee if $4 plus 1.50 per mile. If you total was $13 how manu miles did you take

Answers

Answer:

6

Step-by-step explanation:

you need to do this (13-4)/1.50

Molecules of a toxic chemical eventually decompose into inert substances. Suppose the decomposition time is exponentially distributed with a mean of 1/lambda. The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic. Find the half-life for chemicals whose molecules have an average decomposition time of

Answers

Answer:

a)4.15 years

b)22.18 years

c)188.53 years

d)3027.66 years

Step-by-step explanation:

Formula : [tex]P(X\leq t)=1-e^{\frac{-t}{\lambda}}[/tex]

So, [tex]P(X>t)=1-(1-e^{\frac{-t}{\lambda}})[/tex]

[tex]P(X>t)=e^{\frac{-t}{\lambda}}[/tex]

We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5

So, [tex]e^{\frac{-t}{\lambda}}=0.5[/tex]

Taking natural log both sides

[tex]ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)[/tex]

a)

[tex]\lambda =6[/tex]

t=-(6) ln(0.5)=4.15 years

b)

[tex]\lambda =32[/tex]

t=-(32) ln(0.5)=22.18 years

c)

[tex]\lambda =272[/tex]

t=-(272) ln(0.5)=188.53 years

d)

[tex]\lambda =4368[/tex]

t=-(4368) ln(0.5)=3027.66 years

Mary has a bag with 80 pieces of candy. She gives ¼ of her candy to John and 10% to Lisa. How much more candy did she give to John then Lisa?

Answers

Answer:

12 pieces

Step-by-step explanation:

80 pieces of candy

1/4 is 25% or 20 pieces of candy

10% would be 8 pieces of candy

subtract the two. Your answer is 12

Answer:

He had 14 more pieces

Step-by-step explanation:

So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa

9. A candle has an initial height of12 inches. Sara lights the candle and it begins to melt at an average rate of 0.5
inch per hour. Which function can be used to find the height of the candle inches after x hours?
A) H(X) = 0.5(x +12) B) H(x) = -0.5(x +12) C)H(x) = 12 +0.5x
+
D) H(X) = 12 -0.5x
1 Pt
А.
B
D
E

Answers

Answer:

D

Step-by-step explanation:

h(x)=12-0.5x

x=hour

whats 6 x 3 + 36 help meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

54

Step-by-step explanation:

the ordered pair (x,y)=(2,-3) is a solution to which of the following systems of equation

Answers

Answer:

Y=2x-7

Step-by-step explanation:

what is the least common denominator of 4/5 and 3/10?plssreal quick​

Answers

Answer:

5

Step-by-step explanation:

The least common denominator of 4/5 and 3/10 would be 5.

Can someone help me figure out what are the two checkpoints?

Answers

Answer:

13,000 ft.

Step-by-step explanation:

X -------10960----------C---------------D---------------Y

The entire race (from X to Y) is 7 miles.  There are 5,280 ft. in one mile, so 7 miles is 36960 ft.

If we subtract 10,960 from 36,960, then we get the distance from C to Y.

36960-10960 = 26000

They tell you D is at the midpoint between C and Y

So if we divide 26,000 by 2, then we know the distance from C to D and from D to Y.

26000/2 = 13000

The checkpoints are C and D, so the distance between them is 13,000 ft.

The third option is correct: 13,000 feet

Have a nice day :)

Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions.

Which is a reason that organic farming is more expensive than conventional farming?



How many years must a farm be run organically before its produce can be labeled as “organic”?



What is a benefit of crop rotation?

Answers

Answer:

Which is a reason that organic farming is more expensive than conventional farming?

Organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

Rotating crops can help build healthy soil.

Step-by-step explanation: Hope you pass! :)))

first one is C second one is 3 third one is A

hope i helped

Which expression is equivalent to the given expression after using the distributive property? 9(x + 3) + 15x




9 · x + 9 · 3 + 9 · 15x



9(x + 3 + 15)x



9 · x + 3 + 15x



9 · x + 9 · 3 + 15x

Answers

Answer:

9 • x + 9 • 3 + 15x

Step-by-step explanation:

You have to divide 9 by each term inside the parenthesis. 15x isnt multiplied or added to anything else so it stays the same.

(Simplify the equation) 3n+5+2n=5+n+6n-n​

Answers

Answer:

n=0

Step-by-step explanation:

3n+5+2n=5+n+6n-n​

move like terms together

3n+2n+5=5+n+6n-n

simplify down

5n+5=5+6n

subtract 5n from each side

5=5+n

subtract 5 from each side

0=n

I will give the BRAINIEST!!! Please help!!

The partial blueprint for an office building shows one outer wall and a perpendicular inner wall. Which of the following could be the equation of the inner wall, if the outer wall is represented by the equation y = 2/5x-1

a. y= -5/2x -4
b. y= -2/5x-4
c. y=5/2x-4
d. y=2/5x-4​

Answers

Answer:

a. y= -5/2x -4

Step-by-step explanation:

An equation that is perpendicular to another equation must have the opposite slope. In other words, the perpendicular equation will be the opposite sign & the reciprocal of the equation it is perpendicular to. In this case, the perpendicular slope is -5/2x. Therefore, the only answer possible is a.

What is the value of x in the figure below? asap :(

Answers

Answer:

22.5

Step-by-step explanation:

Step 1:

8x - 50° = 6x - 5°              Vertical ∠'s

Step 2:

8x = 6x + 45°        Add 50° on both sides

Step 3:

2x = 45°     Subtrat 6x on both sides

Step 4:

x = 45° ÷ 2     Divide

Answer:

x = 22.5

Hope This Helps :)

What is the range of the function f(x) = 2x+3

Answers

Answer: (-∞,∞)

Step-by-step explanation: The line extends forever in both directions meaning that the endpoints will be negative infinity and infinity.

over a two hour time period a snail moved 50 inches. how far is this in yards​

Answers

Answer:

1.38889

Step-by-step explanation:

Answer:

your answer is 1.3889 plz mark brainlist thank you

Find m a. 90
b. 31
c. 59

Answers

Answer:

i think its B

sorry if its wrong im not really sure by my answer

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