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Simora [160]
3 years ago
12

What is the difference of the rational expressions below? 2/x-2 - 3/x

Mathematics
2 answers:
VashaNatasha [74]3 years ago
8 0

Answer: \frac{6-x}{x^{2}-2x}

Step-by-step explanation:

Find the least common multiple (LCM) of the denominators. This is:

LCM=x(x-2)

Divide the LCM by each denominator and multiply the result by each numerator, then you obtain:

\frac{2x-3(x-2)}{x(x-2)}

Apply the distributive property, then you obtain:

\frac{2x-3x+6}{x^{2}-2x}

Add like terms, then you obtain:

\frac{6-x}{x^{2}-2x}

lakkis [162]3 years ago
5 0

<u>Answer:</u>

The correct answer is \frac { 6 - x } { x^2 - 2x }.

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

We are given the following expression and we are to simplify it by finding the difference of these two rational terms:

\frac {2} { x - 2 } - \frac { 3 } { x }

Taking their LCM to get:

\frac { 2x - 3 ( x - 2 )} { x ( x - 2 )}

\frac { 2x - 3x + 6 } { x^2 - 2x }

\frac { -x + 6 } { x^2 - 2x }

\frac { 6 - x } { x^2 - 2x }

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blondinia [14]
You are multiply by -2.
term 1: 5
term 2: -10
terms 3: 20
term 4: -40
term 5: 80
term 6: -160
term 7: 320
term 8: -640
So, the 8th term is -640. Hope this helps, please mark brainliest and have an amazing day!
3 0
3 years ago
Use the graph of the following function (x) to find the value. <br> f(1)
kvv77 [185]

From the graph of the given function , the value of f(1) = -1.

As given in the question,

From the graph of the given function,

Two coordinates from the graph are as follow:

( x₁ , y₁) = (1, -1)

( x₂ , y₂ ) = ( 0, -3 )

Equation of the line representing the function is given by:

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

⇒(y +1)/ (x-1) = (-3 +1)/ (0-1)

⇒ (y +1)/ (x-1) = 2

⇒y +1 = 2x -2

⇒ y = 2x -3

To get the value of x we have,

  y = f(x)

⇒f(x) = 2x -3

⇒f(1) = 2(1) -3

⇒f(1) = -1

Therefore, from the graph of the given function , the value of f(1) = -1.

Learn more about graph here

brainly.com/question/17267403

#SPJ1

3 0
1 year ago
(15/8+2/5)+(-7/8) show ur work
stepan [7]
The answer is 7/5 th. You can add fractions without first having a common denominator so you would change the 8's by multiplying it by 5 to get 40 and you would multiply the 5 by 8 to get 40 as well. And the rule whatever you do to the bottom you have to do to the top so whatever you multiplied 8 by do the same for the numerator and whatever you multiplied 5 by you do the same for the numerator. So your new equation would be (75/40+16/40)+(-35/40). you would then add the numerator's across to get 56 and the denominator would stay the same so the answer is 56/40. But you have to now simplify 56/40 down to 14/10 and then once more to 7/5 which is the final answer.
6 0
4 years ago
Identify a number that results in a 4-digit-number when 156,350 is subtracted from it
jekas [21]

160,000 - 156,350 =3,650

7 0
3 years ago
The sum of two irrational numbers is _____ a rational number. Which word correctly fills in the blank to create a true statement
77julia77 [94]

Answer:

C.) Sometimes

Step-by-step explanation:

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

7 0
3 years ago
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