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Pachacha [2.7K]
3 years ago
6

Show all work to identify the asymptotes and zero of the function f(x)=6x/x^2-36

Mathematics
1 answer:
makkiz [27]3 years ago
6 0

9514 1404 393

Answer:

  asymptotes: x = ±6

  zero: x = 0

Step-by-step explanation:

The vertical asymptotes of the function will be at the values of x where the denominator is zero. The denominator is x^2 -36, so has zeros for values of x that satisfy ...

  x^2 -36 = 0

  x^2 = 36

  x = ±√36 = ±6

The vertical asymptotes of the function are x = -6 and x = +6.

__

The zero of the function is at the value of x that makes the numerator zero. This will be the value of x that satisfies ...

  6x = 0

  x = 0 . . . . . divide by 6

The zero of the function is x=0.

__

As a check on this work, we have had a graphing calculator graph the function and identify the zero.

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Answer:

If it multiplies by 3 each hour, you would divide by three if you are looking for the first term. It is Geometric Sequence.

Step-by-step explanation:

100,000/3=33333.3333333 (1/3)

5 0
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Is y-2x=0 proportional?
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8 0
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It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the functio
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Answer:

y=\frac{24}{x}

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.  

We know that two inversely proportional quantities are in form y=\frac{k}{x}, where y is inversely proportional to x and k is constant of variation.

Upon substituting y=12 and x=2 in above equation, we will get:

12=\frac{k}{2}

Let us solve for constant of variation.

12\cdot 2=\frac{k}{2}\cdot 2

24=k

Now, we will substitute k=12 in inversely proportion equation as:

y=\frac{24}{x}

Therefore, the formula for the given scenario would be y=\frac{24}{x}.

3 0
3 years ago
Add each pair of monomials and match it to the correct sum.
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Answer:

y - 3 = -1/2(x-1)

Step-by-step explanation:

Given the coordinates (1, 3) and (5,1). The point slope form is expressed as;

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m is the slope

(x0, y0) is the required point

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Using the point (1,3), substitute

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3 years ago
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