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alukav5142 [94]
3 years ago
15

Give an example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at

Mathematics
2 answers:
Vesnalui [34]3 years ago
8 0
F(x)=x^2/(x-2)(x-1), the degree of the numerator and the degree of the denominator equal and the quotient of their coefficient equal to 1(horizontal asymptote means that the lines approach a certain number when the input approaches positive or negative infinity)
and when plugging in 2 or 1 as input, the output is undefined.
dem82 [27]3 years ago
3 0

Answer:

x/(x-2)(x-1)

Step-by-step explanation: if m<n  then horizontal asymptote is y=0

in the function x/(x-2)(x-1) m is bigger then n so y=0  

after calculating the vertical asymptote we got x=2 and x=1

hope it helps

You might be interested in
The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.
Daniel [21]

Answer:

89

91

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

n  + n+2 =180

2n     +2 =180

Subtract 2 on both sides:

2n          =178

Divide both sides by 2:

 n           =178/2

Simplify right hand side:

 n           =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers?  Yep.  

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

3 0
3 years ago
Read 2 more answers
Find the sum of the series if n = 6, r = 1/4, a = 2.
emmasim [6.3K]

Given =

n=6,

r=1/4

a=2

Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67

4 0
2 years ago
A packing crate measures 3 feet by 12 feet by 7 feet. what is the area of its smallest side
8090 [49]

The packing crate measures 3 feet by 12 feet by 7 feet (volume). To find the area of the smallest side, multiply the two smaller numbers

3 x 7 = 21

21 feet² is the area of the smallest side

hope this helps

5 0
3 years ago
Sally has Christmas lights the roof is 16 feet high the ladder is 20 ft long how far away is letter from wall
lesantik [10]
It should be 12 ft away from the wall. Not 4 ft. You do not just subtract the difference because as you pull it away from the wall, the ladder is mostly moving horizontally with only a small vertical change.

You can use Pythagorean Theorem to find the answer. Think of the ladder as the hypotenuse of a right triangle with the wall and the ground as the legs.

a^2 + b^2 = c^2

16^2 + b^2 = 20^2

b^2 = 20^2 - 16^2

b^2 = 144

b = 12 ft






4 0
3 years ago
Pls can someone pls help me <br> Please show your work
Lana71 [14]

Answer:

x = 8

I dunno what the question is in the first place, but I assume you are solving for x.

Step-by-step explanation:

The two given angles are equivalent because they are parallel and they have a line that intersects.

The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.

The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.

120 = -8 + 16x

128 = 16x

8 = x

x = 8

7 0
2 years ago
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