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dybincka [34]
3 years ago
6

Which is a graph of f(x) = (6x-2)/(x-3), with any vertical or horizontal asymptotes indicated by the dashed lines?

Mathematics
2 answers:
Margaret [11]3 years ago
7 0

Answer:

to find the vertical asymptote, you have to put the rational function in the simplest form, which means to cancel any common factor between the numerator and denominator. here we don't have anything to cancel. then take the denominator and equal it to 0. x-3=0 ,x=3

to find the horizontal asymptote, in this situation, the degree of the numerator and denominator are the same which is 1. therefore, y=the coefficient of the numerator ÷ the coefficient of the denominator. y=6÷1 ,y=6

Naddik [55]3 years ago
3 0

Answer with explanation:

The given function is:

   f(x)=\frac{6x-2}{x-3}

Horizontal Asymptote

   y= \lim_{x \to \infty} \frac{6x-2}{x-3}\\\\\text{Dividing Numerator and Denominator by ,x}\\\\\Rightarrow y=\lim_{x \to \infty} \frac{6-\frac{2}{x}}{1-\frac{3}{x}}\\\\\Rightarrow y=\frac{6-0}{1-0}\\\\\Rightarrow y=6

Vertical Asymptote

→Substitute Denominator of f(x) =0

⇒x-3=0

⇒x=3

⇒x=3 is Vertical Asymptote , and y=6 is horizontal Asymptote.

Matching with all the options

 Option D

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What is the arc length if Θ = 2 pi over 7 and the radius is 3 cm? A. 7 pi over 12
hodyreva [135]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

\theta=\frac{2\pi}{7} \\\\r=3\ cm

An arc is a part of total circumference of circle and length of that arc is the measurement of linear distance.

Since we know the formula for "Length of an arc " , we get

L=r\times \theta\\\\L=\frac{2\pi}{7}\times 3\\\\L=\frac{6\pi}{7}

Hence, Option 'C' is correct.


6 0
3 years ago
Read 2 more answers
Please help with this!
egoroff_w [7]

Answer:

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8 0
3 years ago
Mrs. Fowler has 28 students in her class, and 16 of them are boys.
Elan Coil [88]
We subtract 28 - 16 and get the number of girls 
so lets do that 
28 - 16 = 12 
now we know the unsimplified ratio os 12 to 16 
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since it says (girls to boys) we put girls first then boys
so it would become 3 : 4 
Or the answer is B.) 3 : 4 
5 0
3 years ago
27
katrin2010 [14]

Answer:

A  ≈ 35.3 units²

Step-by-step explanation:

Calculate the radius CB using Pythagoras' identity in the right triangle.

CB² + AB² = AC²

CB² + 6² = 9²

CB² + 36 = 81 ( subtract 36 from both sides )

CB²  = 45 = r²

Then area of quarter circle is

A = \frac{1}{4} × πr² = \frac{1}{4} × π × 45 ≈ 35.3

6 0
3 years ago
For which values of P and Q does the following equation have infinitely many solutions ?
solmaris [256]

Answer:

(P, Q) = (-75, 57)

Step-by-step explanation:

The equation will have infinitely many solutions when it is a tautology.

Subtract the right side from the equation:

Px +57 -(-75x +Q) = 0

x(P+75) +(57 -Q) = 0

This will be a tautology (0=0) when ...

P+75 = 0

P = -75

and

57-Q = 0

57 = Q

_____

These values in the original equation make it ...

-75x +57 = -75x +57 . . . . . a tautology, always true

4 0
3 years ago
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