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lilavasa [31]
2 years ago
10

This equation shows how the total cost of visiting the art museum as a member is related to the number of visits. C = 9.2v + 21.

2 The variable v represents the number of visits to the art museum, and the variable c represents the total cost of those visits. What is the maximum number of visits a member of the art museum can make for a total cost of $76.40?
Mathematics
1 answer:
liubo4ka [24]2 years ago
7 0

Answer:

6

Step-by-step explanation:

C=9.2v + 21.2

76.4 = 9.2v + 21.2

76.4 - 21.2 = 9.2v

55.2 = 9.2v

v= 55.2 / 9.2 = 6

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Answer:

\frac{5 {x}^{2}  + 20xy + 20 {y}^{2} }{x ^{2} - xy -  {6y}^{2}  }

To simplify first factorize both the numerator and the denominator

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5x² + 20xy + 20y²

Factor 5 out

5 ( x² + 4xy + 4y²)

Using a² + 2ab + b² = ( a + b)²

The numerator is

5( x + 2y)²

For the denominator

x² - xy - 6y²

Rewrite -xy as a difference

x² + 2xy - 3xy - 6y²

Factorize

We have the denominator as

( x + 2y)( x - 3y)

So we now have

<h2>\frac{5(x + 2y)(x + 2y)}{(x + 2y)(x - 3y)}</h2>

Simplify

<h2>\frac{5(x + 2y)}{x - 3y}</h2>

We have the final answer as

<h2>\frac{5x + 10y}{x - 3y}</h2>

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