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Veronika [31]
2 years ago
15

Question 8 of 25 Which of the following is the quotient of the rational expressions shown here?

Mathematics
1 answer:
Alla [95]2 years ago
4 0

Answer:

  B.  (5x+5)/(x²-2x)

Step-by-step explanation:

As with numerical fractions, division by a rational expression is equivalent to multiplication by its reciprocal.

<h3>As a multiplication problem</h3>

  \dfrac{5}{x-2}\div\dfrac{x}{x+1}=\dfrac{5}{x-2}\times\dfrac{x+1}{x}

<h3>Product of rational expressions</h3>

As with numerical fractions, the product is the product of numerators, divided by the product of denominators.

  =\dfrac{5(x+1)}{x(x-2)}=\boxed{\dfrac{5x+5}{x^2-2x}}

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F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
3 years ago
(3x3 + 2x2 − 5x) − (8x3 − 2x2).
uranmaximum [27]
My answer -

-5x^3+4x^2-5x

P.S

Have an AWESOME!!! LBGT Day :)


3 0
3 years ago
Read 2 more answers
What is the square root of 8 rounded to the nearest tenth?
frozen [14]

Square Root of 8 to the nearest tenth, means to calculate the square root of 8 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 8 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 8 to be:

√8 = 2.82842712474619

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

2.82

Step 3: Round

Round 2.82 so you only have one digit after the decimal point to get the answer:

2.8

To check that the answer is correct, use your calculator to confirm that 2.82 is about 8.

8 0
3 years ago
What value(s) for n will make this expression true?
exis [7]

Answer:

The answer is option 4.

Step-by-step explanation:

As there is a <em>M</em><em>o</em><em>d</em><em>u</em><em>l</em><em>u</em><em>s</em><em> </em><em>s</em><em>i</em><em>g</em><em>n</em><em> </em>so the answer will be always positive.

e.g

|1.2| = 1.2

|-5.6| = 5.6 (always interested in the positive value)

6 0
3 years ago
Read 2 more answers
Dividing rational expressions
Galina-37 [17]
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5 0
3 years ago
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