How did superman's girlfriend do in math class answers punchline algebra book?

Mathematics

1 answer:

Juliette [100K]2 years ago

5 0

She got the "Lois" grade!

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Find the simplified quotient. (2x^2 + 5x +3 / x^2 - 3x -4) / (4x^2 + 2x - 6 / x^2 - 8x + 16)

irinina [24]

ANSWER

$\frac{x - 4}{2x - 2}$

EXPLANATION

The given expression is;

$\frac{2 {x}^{2} + 5x + 3}{ {x}^{2} - 3x - 4} \div \frac{4 {x}^{2} + 2x - 6}{ {x}^{2} - 8x + 16}$

We factor to obtain;

$\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)} \div \frac{2(x - 1)(2x + 3)}{(x - 4)(x - 4)}$

Multiply by the reciprocal of the second fraction

$\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)} \times \frac{(x - 4)(x - 4)}{2(x - 1)(2x + 3)}$

Cancel out common factors to get,

$\frac{1}{1} \times \frac{(x - 4)}{2(x - 1)}$

$\frac{x - 4}{2x - 2}$

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2 years ago

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Which graph represents a function?

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The fourth one because to know if it is a function or not it has to pass the vertical line test the first one when you draw a vertical line some of the lines repeats so does the second and third but the last one when you draw a vertical line it doesn't repeat s that means its a function

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The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va

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$16\ acres$