2 years ago

8 and 9 plus explanation pls

Mathematics

1 answer:

RideAnS [48]2 years ago

5 0

Answer:

Step-by-step explanation:

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True or False? A circle could be circumscribed about the quadrilateral below.

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Which property of polynomial addition says that the sum of two polynomials is always a polynomial?

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Simplify: 5P3 A. 10 B. 15 C. 30 D. 60

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Permutations and Combinations Quick Check

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Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?

Daniel [21]

Answer:

Second option: the graph approaches 0 as x approaches infinity.

Explanation:

The function f(x) is:

$f(x)=\frac{2x}{1-x^2}$

When x approach infinity the term x² grows rapidly (more rapid than x), thus 1 - x², which is in the denominator will decrease, become a large negative more rapid than the x in the numerator. Thus you can expect that the function approaches zero.

To prove that in a more analytical way, divide both numerator and denominator by x and simplifiy:

$\lim_{x \to \infty} \frac{2x}{1-x^2}\\\\ \lim_{x \to \infty} \frac{2x/x}{(1-x^2)/x}\\\\ \lim_{x \to \infty} \frac{2}{1/x-x}\\\\\lim_{x \to \infty} \frac{2}{0-x}\\ \\ \lim_{x \to \infty} \frac{2}{-x}\\ \\ \lim_{x \to \infty} -\frac{2}{x}=0$

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Answer:

-17 > -22

-22 < -17

Step-by-step explanation:

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