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nadya68 [22]
3 years ago
12

Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7

Mathematics
1 answer:
LiRa [457]3 years ago
5 0
<h2>The product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}</h2>

Step-by-step explanation:

We have,

\dfrac{7x}{x-4}.\dfrac{x}{x+7}

To find, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = ?

∴ \dfrac{7x}{x-4}.\dfrac{x}{x+7}

= \dfrac{7x.x}{(x-4)(x+7)}

= \dfrac{7x^2}{(x(x+7)-4(x+7)}

= \dfrac{7x^2}{x^2+7x-4x-28}

= \dfrac{7x^2}{x^2+3x-28}

Thus, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}

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Mark sold x pens for $2 each. He received less than $80 from the sale. Find the greatest possible number of pens he sold
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$80-$2= $78 is the number less than $80, since the pens cost $2

78/2= 39 pens is the greatest number of pens sold

hope this helps
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3 years ago
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a right triangle has legs measuring 4.5 meters and 1.5 meters the lengths of the legs of a second triangle are proportional to t
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14a^8c^9 + 2a^4c^3 [Algebra]
rosijanka [135]

Answer:

im not the best at algebra but

2a+3b+4c

Step-by-step explanation:

subtract

(2a−3b+4c) from the sum of (a+3b−4c),(4a−b+9c) and (−2b+3c−a).

add

=(a+3b−4c)+(4a−b+9c)+(−2b+3c−a)

=(a+4a−a)+(3b−b−2b)+(−4c+9c+3c)

=4a+8c

then subtract

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=2a+3b+4c

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