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ikadub [295]
3 years ago
10

The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following:

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0
The given function is
f(x) = (x² + 2) / (x² - 36)

The end behavior talks about where the function approaches as the value of the variable is varied.
As an example, when the value of x approaches positive infinity, the function also approaches positive infinity.
Another is that when the value of x approaches negative infinity, the function approaches positive infinity because the variables have an even exponent (2).
In between this behavior, there are also different characteristics of the function. There is an asymptote at x = 6 and -6.
You might be interested in
Dave loves underwater diving. His house boat is 250 feet above sea level. He jumped from that level. He went 600 feet below sea
nikklg [1K]

Answer:

<h3>600 feet</h3>

Step-by-step explanation:

<u>I would just like to explain how this works with a visual (please enjoy my drawing <3 haha)</u>

With my drawing we know that the bird is 150 feet above sea level, and the fish is 100 feet below sea level.

From the bird to the water it is 150 feet, from water to fish is 100 feet

<u>From</u><u> the </u><u>bird</u><u> to the</u><u> fish</u><u> it is </u><u>150 feet + 100 feet</u>

<h3>This is equal to 250 feet, </h3>

so we know from the bird (150 feet above sea level) to the fish(100 feet below sea level).

<h2>Knowing this information we can easily answer this question</h2><h3>Dave is 250 feet above sea level, and he went 600 feet nelow sea level, meaning<u> he only went 600 feet under the water.</u></h3>
Download pdf
7 0
1 year ago
5. Each polygon circumscribes a circle. Find the perimeter.
Oksana_A [137]

See the diagram of the circumscribed polygon attached below:

Answer:

A. 14.2 in.

Step-by-step explanation:

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g

Let's find g.

a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)

b = 3.4 - 1.9 = 1.5 in.

b = c = 1.5 in. (Tangents drawn from an external point)

d = 3.6 - 1.5 = 2.1 in.

d = e = 2.1 in. (Tangents drawn from an external point)

f = 3.7 - 2.1 = 1.6 in.

f = g = 1.6 in. (Tangents drawn from an external point)

✔️Therefore,

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.

6 0
3 years ago
Please help... I have no clue
muminat

Answer:

OPTION C:  Sin C - Cos C = s - r

Step-by-step explanation:

ABC is a right angled triangle. ∠A = 90°, from the figure.

Therefore, BC = hypotenuse, say h

Now, we find the length of AB and AC.

We know that:   $ \textbf{Sin A} =  \frac{\textbf{opp}}{\textbf{hyp}} $

and    $ \textbf{Cos A} = \frac{\textbf{adj}}{\textbf{hyp}} $

Given, Sin B = r and Cos B = s

⇒    $ Sin B = r = \frac{opp}{hyp} = \frac{AC}{BC} = \frac{AC}{h} $

⇒ $ \textbf{AC} = \textbf{rh} $

Hence, the length of the side AC = rh

Now, to compute the length of AB, we use Cos B.

$ Cos B = s = \frac{adj}{hyp} = \frac{AB}{BC} = \frac{AB}{h} $

⇒  $ \textbf{AB} = \textbf{sh} $

Hence, the length of the side AB = sh

Now, we are asked to compute Sin C - Cos C.

$ Sin C = \frac{opp}{hyp} $

⇒  $ Sin C = \frac{AB}{BC} $

              $ = \frac{sh}{h} $

               = s

Sin C = s

$  Cos C = \frac{adj}{hyp} $

$ \implies Cos C = \frac{AC}{BC} $

⇒ Cos C = $ \frac{rh}{h} $

Therefore, Cos C = r

So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.

5 0
3 years ago
Convert the expression to simplified radical form.<br> 32^(1/2)x^(5/2)y^(3/2)
Citrus2011 [14]

Hi, the attached image has your answer.

3 0
3 years ago
Determine the total number of roots of each polynomial function using the factored form.
Tanzania [10]

Answer:

3 roots

Step-by-step explanation:

The roots of a function is the x intercepts.

x=-1

x=3

x=4

6 0
3 years ago
Read 2 more answers
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