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Anit [1.1K]
3 years ago
15

Which equation represents a proportional relationship?

Mathematics
2 answers:
Verizon [17]3 years ago
5 0

y = 3 x equation represents a proportional relationship.

Answer: Option B

<u>Step-by-step explanation:</u>

A proportional variation represents a relationship between two variables x and y. It can be expressed in the form y=k x. Here, the ‘k’, the proportionality constant is equal to the slope m and the line goes through the origin

case A) y=2\left(x+\frac{1}{3}\right)

A linear equation that not passes through the origin and so not proportional variation

case B) y= 3 x

Is a linear equation but passes through the origin and so proportional variation

case C) y = - 3x+2

A linear equation that not passes through the origin and so not proportional variation

case D)  \text { D) } y=\frac{1}{2 x}

An inverse variation equation but not passes through the origin and so not proportional variation.

From these, equation option B is the proportion equation because in these equations, there is no addition and subtraction of any constant number. That’s why both these equations become proportional equations.

Nataliya [291]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ​(mu​, ​p, sigma​) for the i
ValentinkaMS [17]

Answer:

H_o:\mu = 48\\H_a:\mu\neq48

Step-by-step explanation:

Given : . The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean​ temperature, 48°​F, ideal for a certain type of German pilsner.

To Find :  The owner of the brewery does not agree with the refrigerator​ manufacturer, and claims he can prove that the true mean temperature is incorrect.

Solution:

We are given that refrigerators that are supposed to maintain a true mean​ temperature, 48°​F.

Claim : The true mean temperature is incorrect.

So, null hypothesis and alternate hypothesis will be :

H_o:\mu = 48\\H_a:\mu\neq48

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3 0
3 years ago
Hello I need help! IM GIVING BRAINLIEST, FIVE STARS AND THANKS to best answer :)
Natalka [10]

Answer:

1. 4 hours and 10 minutes

2. 8:40 to 12:00

4. 6 hours and 50 minutes

5. 2:25 pm

6. 9:15 am to 12:35pm

7. 3:00pm

(second) 7. 2 hours and 45 minutes

Step-by-step explanation:

1. 2+4 = 6 so then after add 10 to the 45

4 hours and 10 mins

-

2. 8+3= 11 so its 11:40 right now, add the other 20 minutes, you end up with 12:00.

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4.It's better off to start with 12 so add 3 hours and 30 minutes to get to 12:00pm. Now to 3:20pm would obviously be 3 hours and 20 minutes.

3 hours + 3 hours = 6 hours. 30 minutes + 20 mins = 50 mins. 6 hours and 50 minutes.

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5. 10:15 + 4 hours would be 2:15 now add the 10 and that would be 2:25pm.

-

6. 9:15 a.m to 12:35pm would be right. The elapsed time is 5 hours and 20 minutes. 10:30 P.M to 1:15 A.M would be close but it's 5 minutes lesser. 11:10 pm to 2:15 am would be 3 hours and 5 minutes. 6:45pm to 10:00pm would be 3 hours and 15 minutes.

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7. Making it simpler, add 15 minutes so that makes it 12:00pm. Then just add the 3 hours. 3:00P.M.

3:00 pm is your answer.

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(second) 7. 10:30 pm to 1:15am. Also making it simpler, add 1 hour and 30 minutes. Now just add 1 hour and 15 minutes. Add both times,

1 hour and 30 minutes + 1 hour and 15 minutes = 2 hours and 45 minutes.

8 0
3 years ago
10 points!!
torisob [31]
N the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
y=mx+b
Where m is the slope and b is the y-intercept.
Example
Graph the equation
y−2x=1
y−2x=1
rewrite in slope-intercept form
y=2x+1
y=2x+1
Identify the slope and the y-intercept
m = 2 and b = 1
Plot the point corresponding to the y-intercept, (0,1)
picture23
The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)
picture24
And once you have your second point you can just draw a line through the two points and extend it in both directions.
picture25
You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.
Our second point = (1, 3)
y−2x=1
y−2x=1
3−2⋅1=3−2=1
3−2⋅1=3−2=1
Our second point is a solution to the equation i.e. the line we drew is correct.
A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.
y=mx
y=mx
In a direct variation the nonzero number m is called the constant of variation.
You can name a function, f by using the function notion
f(x)=mx+b
f(x)=mx+b
f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.
A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.
The most basic function in a family of functions is called the parent function. The parent function of all linear functions is
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