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

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

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]

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

!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

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:

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.

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.

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

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 !

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.

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).

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:

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]

ayudame y tedoy corona y puntaje​

Answers

Answer:

i dont get it

Step-by-step explanation:

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:

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:

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


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.

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.

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

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


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:

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]

...................
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

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:

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

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]

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

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

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!

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