All categories

3 years ago

For the function f(x)=1/x-2 +5 notice that a=1, h=2, k=5

Mathematics

1 answer:

saul85 [17]3 years ago

7 0

Answer:

x = 2 is the vertical asymptote

y = 5 is the horizontal asymptote

Step-by-step explanation:

The vertical asymptote is when it is undefined, or when the denominator is 0. This is when x = 2.

To find the horizontal asymptote, we need to find the value y can never be. Notice 1/(x-2) is never 0, so when y = 5, that value has to be 0, but this is not possible, so y = 5 is the vertical asymptote.

You might be interested in

A pet owner has 5 cats. Each cat has 2 ears and 4 paws. Complete the double number line to show the numbers of ears and paws for

aleksandrvk [35]

Answer:

If there are 3 cats in the room, what is the ratio of ears to paws? 1 : 2

If there are 4 cats in the room, what is the ratio of paws to ears? 2 : 1

If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.

Step-by-step explanation:

You can see the double number line for this situation in the attached photo.

So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.

For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.

And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.

7 0

3 years ago

Simplify the expression:<br><br> q+5(3+6q)

xenn [34]

Answer:

31q+15

Step-by-step explanation:

7 0

3 years ago

If the length is 18 inches and the width is 24 inches what's the area

nekit [7.7K]

Answer:

L x W = 432

Step-by-step explanation:

18 X 24 = 432

6 0

3 years ago

Jem boy wants to make his 8-meter square pool into a rectangular one by increasing its length by 2m and decreasing its width by

butalik [34]

Side = 8m
He increases length by 2m and reduces width by 2m
(a.) New dimensions will be -
Length = 10m and Width = 6m
(b.) Area = length x breadth (or width)
here we will use the special product (x+y) (x-y)
length = (x+y) and width = (x-y)
area = (8+2) x (8-2)
8^(2) - 2^(2)
= 60

3 0

3 years ago

1. (2 points) Solve each equation and write the answer on the line

BARSIC [14]

Eighteen tens < 21 × (5+5)

Hope this helps!

7 0

4 years ago