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3 years ago

What is the solution to the rational equation x over 2x minus 1 plus 1 over 4 equals 2 over 2x minus 1

Mathematics

1 answer:

weeeeeb [17]3 years ago

6 0

Answer:

the solution of given rational equation is x= 3/2

Step-by-step explanation:

$\frac{x}{2x-1}+\frac{1}{4} = \frac{2}{2x-1}$

We need to solve the above rational equation and find value of x

Finding LCM of 4 and (2x-1) we get 4(2x-1).

Multiplying 4(2x-1) on both sides of equation and solving

$\frac{x}{2x-1}*4(2x-1)+\frac{1}{4}*4(2x-1) = \frac{2}{2x-1}*4(2x-1)\\4x+2x-1=8\\6x-1=8\\6x=8+1\\6x=9\\x=9/6\\x=3/2$

So, the solution of given rational equation is x= 3/2

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Write the equation of the line that passes through the points (2,0) and (1,-2)

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Answer:

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Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

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Answer linky

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Explanation:

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4 0

2 years ago

-7 W to the sixth power. 3w to the second power

Reptile [31]

117649w^6
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8 0

4 years ago

I NEED HELP ASAP!!!!!

MAXImum [283]

Answer:

Part A)

The observation from the the table indicates that if the value of variable $x$ increases, the value of variable $y$ also increases.

Part B)

$y=6x+10$ is the function that bets fits the data.

Part C)

The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be $6x$ .

The y-intercept defines that for the total number of units produced $y$ by $x$ number of workers, $10$ units would be added.

Step-by-step explanation:

Part A)

We know that

Negative correlation means when one variable decreases, then the other variable also decreases.

Positive correlation means when one variable increases, then the other variable also increases.

Given the table data

Number of employees (x)

(x) 0 25 50 75 100 125 150 175 200

Number of Products (y)

(y) 10 160 310 460 610 760 910 1060 1210

The observation from the the table indicates that if the value of variable $x$ increases, the value of variable $y$ also increases.

Thus, the two variables i.e. Number of employees (x) and Number of Products (y) will have positive correlation.

Please check the attached graph in figure a to determine that the positive correlation as the value of variable $x$ increases when the value of variable $y$ also increases.

Part B)

Given the table data

Number of employees (x)

(x) 0 25 50 75 100 125 150 175 200

Number of Products (y)

(y) 10 160 310 460 610 760 910 1060 1210

As we know that the point slope form

$y=mx+b$

where $m$ is the slope and $b$ is the y-intercept.

Lets take the point (0, 10) and point (200, 1210)

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

$m=\frac{1210-10}{200-0}$

$m=\frac{1200}{200}$

$m=6$

$y-y_{1} = m(x-x_{1})$

$m = \frac{y-y_{1}}{x-x_{1}}$

Taking any point, let say (25, 160), and putting in

$m = \frac{y-y_{1}}{x-x_{1}}$

$6\:=\:\frac{y-160}{x-25}$

$y=6x+10$

Hence, $y=6x+10$ is the function that bets fits the data.

Part C)

As we have determined the equation

$y=6x+10$

Here,

Slope = m = 6
y-intercept = 10

The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be $6x$ .

The y-intercept defines that for the total number of units produced $y$ by $x$ number of workers, $10$ units would be added.

Keywords: slope, function, linear function, correlation

Learn more about correlation from brainly.com/question/14688591

#learnwithBrainly

7 0

3 years ago

Which of the following point-slope form equations could be produced with the points (4, -5) and (-4, -3)?

Alexus [3.1K]

Answer:

$y + 5 =- \frac{1}{4} (x-4)$

Step-by-step explanation:

You will find the slope-intercept form first, and then you can find the point slope form of the equation

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