Which rational functions have an oblique asymptote? Check all that apply.
x2 + 1
(x) =
X
o
f(x) =
4x2 - 6
x + 1
O
f(x) =
*5
f(x) =
x3 + 1
x3 +2
f(x) =
x² + 3x

Answers

Answer 1

Answer:

A, B, E

Step-by-step explanation:

Answer 2

In the list of rational functions, 1st, 2nd, 4th, and 5th are the rational functions those have an oblique asymptote.

What is a function?

"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."

The given rational functions are:

1. [tex]f(x) = \frac{x^{2}+1}{x}[/tex]

As the degree of numerator(2) is greater than the degree of denominator(1), This function has an oblique asymptote.

2. [tex]f(x) = \frac{4x^{2}-6}{x+1}[/tex]

As the degree of numerator(2) is greater than the degree of denominator(1), This function has an oblique asymptote.

3. [tex]f(x) = \frac{-x}{x^{2} }[/tex]

As the degree of numerator(1) is less than the degree of denominator(2), This function does not have an oblique asymptote.

4. [tex]f(x) = \frac{x^{5}}{x^{3}+1}[/tex]

As the degree of numerator(5) is greater than the degree of denominator(3), This function has an oblique asymptote.

5. [tex]f(x)= \frac{x^{3}+2}{x^{2}+3x}[/tex]

As the degree of numerator(3) is greater than the highest degree of denominator(2), This function has an oblique asymptote.

Learn more about a function here: https://brainly.com/question/15642520

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Related Questions

1. The degree of 5x³+4x²+7x degree of the quadratic Polynomial is










how tell answer crottect I mark as brilliant ​

Answers

Answer:

3

Step-by-step explanation:

Degree of the polynomial is the highest degree of the polynomial. Here highest degree is 3.

Find the distance (-2,4) and (-5,-0)

Answers

Answer:

d=√65 units

Step-by-step explanation:

Using the distance formula :

d=√((−5)−(2))2+((0)−(4))2 units

d=√(−7)2+(−4)2 units

d=√49+16 units

d=√65 units

If this helps you, please mark brainliest!

Have a nice day!

Jsiwheifbidbdhsiwjhwjeidhfhhd

William is an electrician. He charges an initial fee of $44 per visit. If he charges $30 for every hour he works, which explicit
expression and recursive process can be used to find out how much he will charge for working n hours?
O A. Explicit Expression: 30n - 44
Recursive Process: To find out how much William will charge for working n hours, subtract $30 from how much he
charges for working n - 1 hours.
W = Wn-1 - $30, Wo = $44
OB. Explicit Expression: 30n +44
Recursive Process: To find out how much William will charge for working hours, add $30 to how much he charges for
working n - 1 hours.
W = Wn-1 + $30, Wo = $44
OC. Explicit Expression: 44n - 30
Recursive Process: To find out how much William will charge for working n hours, subtract $44 from how much he
charges for working n - 1 hours.
Wn = Wn-1 - $44, Wo = $30
OD. Explicit Expression: 44n+ 30
Recursive Process: To find out how much William will charge for working n hours, add $44 to how much he charges for
working n - 1 hours.

Answers

B. 30n+44

You times 30 by how ever many hours he worked and then add 44 at the end for the initial visit price

please help me please i really need help please

Answers

Answer:

3053.63 inches cube

Step-by-step explanation:

V =4 3

------nr

3

4/3×22/7×9×9×9

=

3053.63

please mark as brainliest answer as it will also give you 3 pts

Which number line represents the solution set for the inequality -1/2x >= 4​

Answers

Answer:

x≤-8

Step-by-step explanation:

-1/2x ≥ 4

Multiply each side by -2, remembering to flip the inequality

-2*-1/2x≤ 4*-2

x≤-8

Answer:

Step-by-step explanation:

Note: by the rule of order of operations, -1/2x == -1/2*x = -x/2

-x/2 >= 4

-x >= 4*2 = 8

x <= -8

The number line looks like this:

<============================O--------------------------------------

where the circle should be filled and at x= -8

The valid part of the number line is to the left of the circle but INCLUDING the circle (solid dot).

There are 3600 second in 1 hour how many second are there in 24 hour​

Answers

Step-by-step explanation:

hear is your answer please

ayudame y tedoy corona y puntaje​

Answers

Answer:

i dont get it

Step-by-step explanation:

f(X)=X^3 + 4 X^2-10=0 (between X=1 , X=2) بطريقه ال Bisection method

please fast​

Answers

I hope it's helpful for u but I am not sure my answer is right !

Which recursive sequence would produce the sequence 6, 20, 62, …

Answers

Step-by-step explanation:

Using an online calculator, I was able to find that one pattern is

[tex]a_{n} = a_{n-1} + 14 * 3^{n-1}[/tex] . Finding a recursive sequence is generally based on guess and check, so there isn't much explanation to obtaining one

I’ve been stuck on this problem I can’t seem to get 7 9/4 into the ABC form

Answers

Answer:

7 square root 9^4

Step-by-step explanation:


Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya's line in slope-intercept form

Answers

Answer:

Step-by-step explanation:

Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rented a car one day and paid $52 for 180 miles. On another day she rented a car from the same agency and paid $77.50 for 350 miles. Find the linear function f(x) (where x is in miles and f(x) is in dollars) that the agency could use to determine its daily rental charges.
f(x) =

Answers

9514 1404 393

Answer:

  f(x) = 0.15x +25

Step-by-step explanation:

We are given two points:

  (x, y) = (180, 52) or (350, 77.50)

The slope is given by ...

  m = (y2 -y1)/(x2 -x1)

  m = (77.50 -52)/(350 -180) = 25.50/170 = 0.15

The y-intercept is given by ...

  b = y -mx

  b = 52 -0.15×180 = 25

Then the equation for the linear function is ...

  f(x) = mx +b

  f(x) = 0.15x +25

The function f(x) = x² is transformed to f(x) = 0.4(x + 1)? Which statement describes the effect(s) of the transformation on the
graph of the original function?
A)
The parabola is wider and shifted 1 unit to the left.
B)
The parabola is wider and shifted 1 unit to the right.
The parabola is narrower and shifted 1 unit to the left.
D)
The parabola is narrower and shifted 1 unit to the right.

Answers

Answer:

D) The parabola is narrower and shifted 1 unit to the right.

12y^2+12y-3y^3 = 124-(y+5)

Answers

Answer:

[tex]{ \tt{12 {y}^{2} + 12y - 3 {y}^{3} = 124 - (y + 5)}} \\ 3 {y}^{3} - 12 {y}^{2} - 12y = - 124 + (y + 5) \\ {3y}^{3} - 12 {y}^{2} - 12y = - 124 + y + 5 \\ { \tt{3 {y}^{3} - {12y}^{2} - 11y + 119 = 0 }}[/tex]

p = 4x + qx - 5 SOLVE FOR X

Answers

[tex]\sf \bf {\boxed {\mathbb {\: x = \frac{(p + 5)}{(4 + q)} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]p = 4x + qx - 5 \\ [/tex]

[tex]➺ \: p = x \: (4 + q) - 5 \\ [/tex]

[tex]➺ \: x \: (4 + q) = p + 5 \\[/tex]

[tex]➺ \: x = \frac{(p + 5)}{(4 + q)} \\ \\ [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Translate this phrase into an algebraic expression.
RE
16 increased by twice a number
Use the variable n to represent the unknown numbers

Answers

Answer:

16 + 2n

Step-by-step explanation:

n + n is twice of a number, but 2n is simplified. "16 increased by" just represent addition

l[tex]\lim_{n \to \0} \frac{sin x}{x}[/tex]

Answers

1

Step-by-step explanation:

[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}[/tex]

Let

[tex]f(x)= \sin x[/tex]

[tex]g(x)=x[/tex]

We are going to use L'Hopital's Rule here that states

[tex]\displaystyle \lim_{x \to c}\dfrac{f(x)}{g(x)}=\lim_{x \to c}\dfrac{f'(x)}{g'(x)}[/tex]

We know that

[tex]f'(x) = \cos x[/tex] and [tex]g'(x)=1[/tex]

so

[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}=\lim_{x \to 0}\dfrac{\cos x}{1}=1[/tex]

Compute ∬_R〖(7xy-5-2y^2)dxdy〗 where the domain of integration R is bounded by the lines y=0, y=4-2x and y=2x^2

Answers

Attached you'll find the region of interest, which is captured by the set of points

R = {(x, y) | √(y/2) ≤ x ≤ (4 - y)/2 and 0 ≤ y ≤ 2}

Written in this way, it's convenient to integrate with the order dx dy (that is, with respect to x first). In particular, we have

[tex]\displaystyle\iint_R(7xy-5-2y^2)\,\mathrm dx\,\mathrm dy = \int_0^2 \int_{\sqrt{\frac y2}}^{\frac{4-y}2} (7xy-5-2y^2)\,\mathrm dx\,\mathrm dy[/tex]

[tex]\displaystyle = \int_0^2 \int_{\sqrt{\frac y2}}^{\frac{4-y}2} \left(\frac72 x^2y-5x-2xy^2\right)\bigg|_{\sqrt{\frac y2}}^{\frac{4-y}2}\,\mathrm dy[/tex]

[tex]=\displaystyle\int_0^2\left(\frac{15}8y^3-11y^2+\frac{33}2y-10 +\sqrt2 y^{\frac52}-\frac74y^2+\frac5{\sqrt2}y^{\frac12}\right)\,\mathrm dy[/tex]

[tex]=\displaystyle\left(\frac{15}{32}y^4+\frac{2\sqrt2}7y^{\frac72}-\frac{17}4y^3+\frac{33}4y^2+\frac{5\sqrt2}3y^{\frac32}-10y\right)\bigg|_0^2[/tex]

[tex]=\boxed{-\dfrac{95}{42}}[/tex]

if three-fourth of a number is added to 14 gives result less than or equal to 20 .find the number,hense illustrate your answer on a number line​

Answers

Answer:

see photo

Step-by-step explanation:

Please look below and answer (No links) please explain. I will give brainiest

Answers

Okay So the Y intercept is 4 because the line passes through the y-axis and makes contact at 4. The Slope is 1/2 because You go down 1 and over 2 to get to the next point the connects to the next corner so the Slope Intercept Equation is Y=1/2x + 4

Answer:

The slope is 1/2 because for every y value that it goes down, the x value goes down by 2. The y-intercept is 4 because when x is 0, y is equal to 4.

A homeowners’ association charges a $3.85 fee for each day your payment is late. If a bill was originally $98.75 and paid 13 days late, then how much is owed to the homeowners’ association?

Answers

Answer:

$148.80

Step-by-step explanation:

Find how much was charged extra with the late fee. Multiply 13 by 3.85:

13(3.85)

= 50.05

Add this to the original amount of the bill:

98.75 + 50.05

= 148.8

So, the amount owed is $148.80

Find a value of 0 in the interval 0° < 0 < 90° that satisfies the given statement.
tan = 0.85088446

Answers

Answer:

That Satisfies The Given Statement. Tan 0 = 0.78879988 (Simplify Your Answer. Type An Integer Or A Decimal.

Step-by-step explanation:

let's tick to the well defined collection​

Answers

Answer:

the answer should be B, because I think the collection of fruits is right

Answer:

i think its b

Step-by-step explanation:


Ibrahim heeft een bijbaantje op de markt. Hij berekent zijn inkomsten met de formule
inkomsten in €=5+3,50 x tijd in uren. Leg de formule uit.

Answers

Answer:

Ibrahim gets 5 fixed and 3.5 per hour.

Step-by-step explanation:

Ibrahim has a side job at the market. He calculates his income with the formula income in € = 5 + 3.50 x,  time in hours. Explain the formula.

Here, the fixed income is 5.

the income per hour is 3.5.

So, Ibrahim gets 5 fixed and 3.5 per hour.

Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?

Answers

Answer:

Location of W is - 23, location of X is - 9.

Step-by-step explanation:

location of V = - 16

Points W and X are each 7 units away from Point V.

Let the W is at left of V and X is right of V.

location of W = -16 - 7 = - 23

location of X = - 16 + 7 = - 9

...................
thnx If solved....XD

Answers

$4825.70

Step-by-step explanation:

Cost for Fans: 4 x 675 = $2700

Cost for Lamps: 2 x 110 = $220

Cost for Switches: 5 x 41 = $205

Cost for Tubes: 6 x 135 = $810

Cost for Electric Wire: 230 x 2.50 = $575

Total cost: 2700 + 220 + 205 + 810 + 575 = $4510

Tax: Total cost x Tax rate = 4510 x 0.07 = $315.70

Total paid: Total cost + Tax = 4510 + 315.70 = $4825.70

!pls help!
Use a net to find the surface area

Answers

Answer:

336 square inches

Step-by-step explanation:

Nets are the spreaded out version/outline of 3d figures. It shows the faces of the figure. The figure in this case is actually a triangular prism.

find the area of each shape in the net:

Triangle A (1/2 x base x height)

1/2 • 8 x 6 = 24 square inches

Rectangle B (length x width):

6 x 12 = 72 square inches

Rectangle C:

8 x 12 = 96 square inches

Rectangle D:

10 x 12 = 120 square inches

Triangle E:

1/2 x 6 x 8 = 24 square inches

Add up all the areas of all shapes:

24 + 24 + 120 + 72 + 96 = 336

Surface area is measured in square inches

(Inches in this case)

Hope this helps

what is the average rate of change between:
x=1 and x=2
x=2 and x=3
x=3 and x=4​

Answers

Rate of change = RΔ = (y2-y1)/(x2-x1) = Δy/Δx

(X1,Y1)(X2,Y2)

(1, 2) (2, 4)

RΔ = Δy/Δx

= (4-2)/(2-1)

RΔ = 2

(2, 4) (3, 8)

RΔ = (8-4)/(3-2)

RΔ = 4

(3, 8) (4, 16)

RΔ = (16-8)/(4-3)

RΔ = 8

Determine the value of x for which r is parallel to s if m angle 1 = 60-2x and m angle 2=70-4x

Answers

Answer:  r = 5

Step-by-step explanation:

Type your answers into the boxes.
Complete the following questions.
4x5-(22 - 2) =
(18= 3) + (32 - 7) =

Answers

Answer:

0 and 40

Step-by-step explanation:

First expression:  4*5 - (22 - 2).  We must do work inside parentheses before any other work.  This, we have 4*5 - (20), which simplifies to 20 - 20 = 0

Second expression:  (18 - 3) + (32 - 7 becomes (15) + 25, or 40.

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