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slega [8]
2 years ago
5

The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a ____

______________ of _________________feet.
Mathematics
1 answer:
deff fn [24]2 years ago
8 0

Answer:

The correct answer is "decrease, 1,280 feet".

Step-by-step explanation:

The given values are:

Rate or speed,

= 320 feet per hour

1 pm to 5 pm means,

t = 5 - 1

 = 4 hours

Now,

The net change in distance will be:

⇒  \Delta D=-320\times 4 \ feet

⇒         =-1280 \ feet

Thus the above is the correct approach.

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Show all work to identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
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Using the asymptote concept, it is found that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

<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.

In this problem, the function is:

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

Considering the denominator, the vertical asymptote is:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

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

Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

More can be learned about asymptotes and end behavior at brainly.com/question/28037814

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