What is the geometric mean of 9 and 18

Mathematics

1 answer:

klemol [59]2 years ago

5 0

$\cfrac{9}{x}~~ = ~~\cfrac{x}{18}\implies 162=x^2\implies \sqrt{162}=x\implies \sqrt{9^2\cdot 2}=x\implies 9\sqrt{2}=x$

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8x+y=300

Bond [772]

D. The elevator takes 37.5 seconds to move down to the lobby.

8x+y=300

y= 300-8x
y= 300 - 8 (37.5)

y = 300-300
y = 0

wheb y =0 that means that the height is 0

5 0

3 years ago

Identify the asymptotes and state the end behavior of the function f(x)=5x/x-25

AnnyKZ [126]

Using it's concepts, it is found that for the function $f(x) = \frac{5x}{x - 25}$ :

The vertical asymptote of the function is x = 25.

The horizontal asymptote is y = 5. Hence the end behavior is that $y \rightarrow 5$ when $x \rightarrow \infty$ .

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. They also give the end behavior of a function.

In this problem, the function is:

$f(x) = \frac{5x}{x - 25}$

For the vertical asymptote, it is given by:

x - 25 = 0 -> x = 25.

The horizontal asymptote is given by:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = 5$