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tigry1 [53]
3 years ago
11

What is the simplest form of the expression representing this quotient?

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

9514 1404 393

Answer:

  (x +5)/(6x -30)

Step-by-step explanation:

In general, you factor the expressions and cancel factors that can be cancelled. The "invert and multiply" rule for dividing fractions also applies to rational expressions.

  \dfrac{x^2-2x}{x^2-10x+25}\div\dfrac{6x^2-12x}{x^2-25}=\dfrac{x^2-2x}{x^2-10x+25}\times\dfrac{x^2-25}{6x^2-12x}\\\\=\dfrac{x(x-2)(x-5)(x+5)}{6x(x-2)(x-5)(x-5)}=\dfrac{x+5}{6(x-5)}=\boxed{\dfrac{x+5}{6x-30}}\qquad x\notin\{-5,0,2,5\}

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3 years ago
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Shtirlitz [24]

Answer:

Option D is correct .i.e., Vertical translation down 9 units

Step-by-step explanation:

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4 years ago
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3 0
3 years ago
A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for eac
ollegr [7]

Answer:

Profit for 100 burritos: $550

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Step-by-step explanation:

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If one burrito is $5.50 in profit, then we take that amount and multiply it by 100. This is to make the illitsratution of selling 100 burritos. So, 5.50*100 would be 550! They would make $550 for 100 burritos, and lose 250 dollars on all of the burrito ingredients.  

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2 years ago
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sergij07 [2.7K]
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the third picture is the correct graph</span>
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4 years ago
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