Will all rational functions have at least one vertical asymptote? Justify your response with an
explanation

Answers

Answer 1

Answer:

  no

Step-by-step explanation:

A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.

Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.

An example with no vertical asymptotes is ...

  f(x) = (x -1)/(x^2 +1)

Will All Rational Functions Have At Least One Vertical Asymptote? Justify Your Response With Anexplanation

Related Questions

Please help me :)
What is the solution to this system of equations?

Answers

Answer:

The answer is D

Step-by-step explanation:

Plug in the values and see which one is correct.

Find the slope of the line that goes through the points (4,-3) and (5,0)

Answers

Answer:

the slope of the points (4,-3) and (5,0) is 3

Step-by-step explanation: I used the formula y2-y1 over x2-x1 will give you the answer hope this helped!

Answer:

[tex]\boxed {\boxed {\sf m=3}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line that passes through (4, -3) and (5,0).

The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.

[tex]m= \frac{ \Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]

In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:

x₁ = 4 y₁ = -3x₂ = 5 y₂ = 0

Substitute the values into the formula.

[tex]m= \frac{0 - -3}{5-4}[/tex]

Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.

0--3 = 0+3=3

[tex]m= \frac{3}{5-4}[/tex]

Solve the denominator.

5-4 =1  

[tex]m= \frac{3}{1}[/tex]

Divide.

[tex]m=3[/tex]

The slope of the line is 3.

Let E be the region bounded cone z = â 6 â ( x 2 + y 2 ) and the sphere z = x 2 + y 2 + z 2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E.

Answers

Answer:

       

Step-by-step explanation:

Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.




-17 + 2(1 + 3x) = x - 5(3 - x)

Answers

Answer:

Infinite.

Step-by-step explanation:

[tex]-17+2(1+3x)=x-5(3-x)[/tex]

Expand:

[tex]-17+2+6x=x-15+5x[/tex]

[tex]6x+15=6x+15[/tex]

[tex]6x=6x[/tex]

[tex]0=0[/tex]

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

Jessica has 23,450 stickers in her sticker collection. Her sister has 20,993 stickers in her collection. Who has the most stickers?

Answers

Answer:

Jessica (23,450 stickers)

Jessica because she has 23,450 stickers. She has 2,457 more stickers than her sister.

What would you do if you found out that you wrote a cheque of $78 but it was recorded as $98 in check register?

Answers

Step-by-step explanation:

I'll go to the cashier and says it's wrong cheque

Simplify this equation

Answers

Answer:

I think the answer might be 12x⁷

Help help help help help help help please

Answers

Answer:

B I think.

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

The figure B is just one 90° rotation away from becoming A, i.e.,

If we rotate B 90° counterclockwise, we get A.

To obtain the same figure after rotating it (counterclockwise or clockwise), the minimum degrees required are 360

So, B becomes A after 90° of rotation, while A becomes A after 360° rotation (in the same direction)

That means,

[tex] \boxed{ \mathsf{Angle \: of \: rotation \: + 90 \: = \: 360}}[/tex]

(angle of rotation is the angle which A turns about in order to line itself with B)

_________________

That makes it 270°

A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?

Answers

Answer: Each friend needs to pay $10.48

what is the value of 69 - -26

Answers

Answer:

98

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95

Part A: Solve −mk − 90 > 85 for m. Show your work. (4 points) Part B: Solve 3c − 5f = 55 for f. Show your work. (6 points) (10 points)

Answers

Answer:

m < -175/k

f = -11 + [tex]\frac{3}{5}[/tex]c

Step-by-step explanation:

Part A:

-mk - 90 > 85

add 90 to each side to get:

-mk > 175

divide each side by -k to get:

m < -175/k

(inequality symbol switched because we divided by a negative)

Part B:

3c - 5f = 55

subtract 3c from each side to get:

-5f = 55 - 3c

divide each side by -5 to get:

f = -(55 - 3c) / 5  or -11 + [tex]\frac{3}{5}[/tex]c

Please help when you're able to!

Answers

the answer for this math problem is x=-9

group the first two terms by underline the first two terms 16x^3-4x^2-4x+1

Answers

Answer:

Terms are the things that are separated by a (+) or a (-).

Step-by-step explanation:

16x^3 - 4x^2 -4x+1

I don't think I'm right...

In circle D, which is tangent to the circle?

Line G H
Line segment A B
CD
EF

Answers

Answer:

line segment A B

Step-by-step explanation:

it's really a ray, not a line segment

In circle D, the AB line segment is tangent to the circle.

What are the properties of the circle?

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Since A line that only has one point where it crosses a circle is said to be tangent to the circle. The point of contact is the location where the circle and the tangent meet.

Thus, in the given figure AB is the tangent line segment of the circle D.

From the properties of the circle, we can state that,

FE is Diameter,

The CD is representing the radius, and

GH is representing the Secant line of the circle D.

Therefore, In circle D, the AB line segment is tangent to the circle.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ7

Answ
Question
Dylan went to the toy store and
bought 3 action figures for $45.
How much did 1 action figure
cost?
*Use the dollar sign"
10
Using the information from
problem #9, write the equation.


What is the equation?

Answers

Answer:

15$

Step-by-step explanation:

45 ÷ 3 = 15

what is the measure of angle x

Answers

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

The value in cents of a nickels, The value in cents of a dimes =, The value in cents of a quarters = , The value in cents of a dimes and one quarter = ,The value in cents of 13 dimes =​

Answers

The value in cents of a nickels = 5a

     [] A nickle is worth 5 cents, so 5a is the value of a nickles

The value in cents of a dimes = 10a

     [] The value of a dime is 10 cents, so 10a is equal to a dimes

The value in cents of a quarters = 25a

     [] A quarter is worth 25 cents, so 25a is the value of a quarters

The value in cents of a dimes and one quarter = 10a + 25

     [] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter

The value in cents of 13 dimes =​ 130

     [] A dime is worth 10 seconds, so 13 * 10 = 130

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3. Rewrite the statement, "A dog is a puppy if and only if it is young," as a conditional and its converse.
O A. Conditional: A dog is a puppy. Converse: A dog is young.
O B. Conditional: A puppy is a dog. Converse: A puppy is young.
OC. Conditional: If a puppy is young, then it is a dog. Converse: If a puppy is a dog, then it is young.
O D. Conditional: If a dog is young, then it is a puppy. Converse: If a dog is a puppy, then it is young.

Answers

Answer:

I think the answer would be A

Functions
Domain and Range

Answers

1)

Check the 1st picture below.

the arrows at the end of the lines are stating that the lines are continuing indefinetely, or namely to infinity, the lines go to infinity upwardly as well as sideways.

3)

Check the 2nd picture below.

the graph has a hole when x = 6 for the domain, meaning it doesn't include that point, but includes any values before it down to -5 and including -5.

Complete the table of values for this equation: y = 3x +10 Enter your answer by filling in the boxes. x y 4 5 6

Answers

x=4,5,6

x=4

[tex]\\ \sf\longmapsto y=3(4)+10[/tex]

[tex]\\ \sf\longmapsto y=12+10=22[/tex]

x=5

[tex]\\ \sf\longmapsto y=3(5)+10=15+10=25[/tex]

x=6

[tex]\\ \sf\longmapsto y=3(6)+10=18+10=28[/tex]

Step-by-step explanation:

y = 3x + 10

x = 4, 5, 6

Soo :

y = 3(4) + 10 = 12 + 10 = 22

y = 3(5) + 10 = 15 + 10 = 25

y = 3(6) + 10 = 18 + 10 = 28

10 4/5+(8 3/4−6 1/2) no files plz you dont have to explain it either

Answers

Answer:

11

Step-by-step explanation:

10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11

plz help me plz need your help plz help

Answers

Step-by-step explanation:

a+b^2 =a^2+b^2+2ab

-2ab and+2ab cut

How much wax is needed to make one spherical candle?

Answers

About 100g of wax is needed

Answer:

In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!

Step-by-step explanation:

Who ever sole this problem, with step by step soloution I will mark Brainliest (No Rubbish Please, I will report)

Answers

She could use the 500ml container four times

Or she could do
750ml + 500 ml = 1250
1250 + 250ml = 1500ml
And now she can add 750ml
And add another 250 ml
It will be 2500

Step-by-step explanation:

There are a couple of ways you could do this

10, 250ml (10*250=2500)

5, 500ml (5*500=2500)

3, 750ml + 250ml (3*750=2250.... 2250+250=2500)

There are many ways you could approach this. Hope these examples help

Write the equation of the line that passes through the given points.
(1,2.5) and (0,6.5)

Answers

let's change the decials first off to fractions and get the slope and line

[tex]2.\underline{5}\implies \cfrac{25}{1\underline{0}}\implies \cfrac{5}{2}~\hfill 6.\underline{5}\implies \cfrac{65}{1\underline{0}}\implies \cfrac{13}{2} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{\frac{5}{2}})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{13}{2}})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{13}{2}}-\stackrel{y1}{\frac{5}{2}}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{1}}}\implies \cfrac{~~ \frac{8}{2}~~}{-1}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{-4}(x-\stackrel{x_1}{1})[/tex]

[tex]y-\cfrac{5}{2}=-4x+4\implies y=-4x+4+\cfrac{5}{2}\implies y = -4x+\cfrac{13}{2}[/tex]

Solve for x and thank you

Answers

9514 404 393

Answer:

  x = 57.6

Step-by-step explanation:

The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.

  x = 1.2 × 48 = 57.6

_____

Additional comment

Parallel lines cut transversals proportionally. That is why 30/25 = x/48.

What does y= when x = -1?

Answers

I think Y would equal 0

Father came home from work and saw 3/4 of a pizza in the kitchen. He ate 1/3 of what was left of the pizza. What fraction of the original pizza was left?

Answers

Answer:

3/4 means 0.75 of apizza was in the kitchen and the father ate 1/3 of the 3/4 which means 0.75÷3=0.25 the question is what fraction of pizza that was left so 0.75-0.25= 0.5 or 1/2 of apizza is left.

7 inches 6 inches and 6 inches make a triangle?

Answers

Answer:

^

Step-by-step explanation:

The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.

How do you write 8 whole and 1/2 + whole 7 2/3 as a mixed number

Answers

The answer is 16 1/6

Step-by-step explanation:

1. make both of the denominators into six : 1/2=3/6 and 2/3=4/6

2. add them all together 8+7=15, 4/6+3/6=7/6

3. make the 7/6 into a mixed number so 1 1/6 add that to the 15 so 16 1/6

Answer: 16 1/6

To add mixed numbers, the first thing you do is convert the mixed numbers into improper fractions. How?

You multiply the whole number with the denominator of the proper fraction, then you'll add the numerator.

First mixed number is 8 1/2.

So, you'll multiply 8 by 2 then add 1.

(8 × 2) + 1 = 17

Next is 7 2/3.

Repeat this process.

(7 × 3) + 2 = 23

When your done, plug in the denominator and find the LCD, since the denominators are unlike. (First find the LCM of 2 and 3, which is 6). Our improper fractions should be:

8 1/2 = 17/2 × 3/3

7 2/3 = 23/3 × 2/2

Multiply the LCD, which is 2 and 3 and you'll get:

LCD of 8 1/2 ⇒ 51/6

LCD of 7 2/3 ⇒ 46/6

Now we can add. (You DO NOT add the denominator).

51/6 + 46/6 = 97/6

Since 97/6 is an improper fraction, we must convert it into a whole number.

Divide 97/6 and you'll get 16 with a reminder of 1.

16 is the whole number.

1 is the numerator.

Hence, the answer is 16 1/6.

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