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Vika [28.1K]
3 years ago
14

State the horizontal asymptote is the rational function. F(x)=x+9/x^2+8x+8

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Answer:

y = 0

Step-by-step explanation:

When the degree of the denominator of a rational function is greater than the degree of the numerator, then the equation of the horizontal asymptote is

y = 0

here degree of numerator is 1 and degree of denominator is 2

Degree of denominator > degree of numerator, thus

y = 0 ← equation of horizontal asymptote

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(−10x^2+9)+(8x^2 −5x+7)
Leno4ka [110]

Answer:

-2x^2-5x+16

Step-by-step explanation:

Remove parenthesis:

-10x^2+9+8x^2-5x+7

Combine like terms:

-10x^2+8x^2-5x+9+7

= -2x^2-5x+9+7

=-2x^2-5x+16

8 0
3 years ago
Please help!!!!! I don't understand ​
larisa [96]

Answer:

d=75° e=28° f=77°

Step-by-step explanation:

The angle of a straight line is 180°

If you subtract the 2 angles you know(which are equal to d and e), you're left with the missing angle measurement of 77°

6 0
3 years ago
Read 2 more answers
Express 0.19494 as a fraction
valentina_108 [34]
19.494
19 <span>247⁄500</span>

Improper fraction:
<span>9747⁄500</span><span>
</span>
3 0
4 years ago
POSSIBLE PONTS 10
atroni [7]

Answer:

hey there buddy

Step-by-step explanation:

6 0
3 years ago
What transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?
LUCKY_DIMON [66]

Answer:

The graph of y=cos(x) is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor  \frac{1}{10} .

*Moves horizontally \pi units to the rigth

The transformation is:

y=3f(10(x-\pi))

Step-by-step explanation:

If  the function y=cf(h(x+b))  represents the transformations made to the graph of y= f(x)  then, by definition:

If  0 then the graph is compressed vertically by a factor c.

If  |c| > 1 then the graph is stretched vertically by a factor c

If c  then the graph is reflected on the x axis.

If b> 0 The graph moves horizontally b units to the left

If b The graph moves horizontally b units to the rigth

If 0 the graph is stretched horizontally  by a factor \frac{1}{h}

If h> 1 the graph is compressed horizontally by a factor \frac{1}{h}

In this problem we have the function y=3cos(10(x-pi)) and our parent function is y = cos(x)

The transformation is:

y=3f(10(x-\pi))

Then c =3>1  and b =-\pi < 0 and h=10 > 1

Therefore the graph of y=cos(x) is:

Stretched vertically by a factor of 3.

Also as h=10 the graph is compressed horizontally by a factor  \frac{1}{10} .

Also, as b =-\pi < 0 The graph moves horizontally \pi units to the rigth

6 0
3 years ago
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