what is the oblique asymptote of the function f(x)= (x^2 - 5x + 6)/(x - 4)

Answers

Answer 1

Answer:

[tex]f(x)=x-1[/tex]

Step-by-step explanation:

From the question we are told that

Function [tex]f(x)= \frac{(x^2 - 5x + 6)}{(x - 4)}[/tex]

Generally we divide the numerator by the denominator mathematically

  [tex]y=x-4\sqrt{x^2-5x+6}[/tex]

  [tex]y=x-1[/tex]

Therefore the asymptote is given as

[tex]f(x)=x-1[/tex],


Related Questions

Which of the following rational functions is graphed below?

Answers

Answer:

I think it is A

Combine like terms y+6-2-4y3-5y+2y3-2y3

Answers

Answer: -3y+12

Step-by-step explanation:

I need a explanation plz

Answers

I got 28
There is not parenthesis around the five meaning -5 squared would equal positive 25

Which number line could help you find the distance between (7,4) and (3, 4)?

Answers

Answer: 4

Step-by-step explanation:

Answer:

Pick the number line with points at 3 and 7 :)

Step-by-step explanation:

20. What is the value of x?
20
56°
Drawing not to scale

Answers

here is the answer:))) hope this helpssss

Nina purchased a meal for $24. She left a 20% tip. How much was the tip?

Answers

Answer:

She left a $4.80 tip.

Answer:

Tip $4.80

Total $28.80

Step-by-step explanation:

20% = 0.2

24 x 0.2 = 4.8

24 + 4.8 = 28.8

I rancher has a three sided plot of land that will be used for grazing sheet each side length is a multiple of 100 one side is 300 yards long and another side of 600 yards long what is the shortest possible length of the third side of the three sided land

Answers

Answer:

400 yards

Step-by-step explanation:

300+x>600

x>300, to be a multiple of 100,  the third side must be 400 yards

make x the subject formula x-3=q

Answers

Answer:

x = q +3

Step-by-step explanation:

+ 3 on both sides

hope this helps

what is -5y+6x+2y+5x?

Answers

Answer:

11x - 3y

Step-by-step explanation:

6x + 5x + 2y - 5y

11x - 3y

Hope this helps

he two square roots of the number.

64

Answers

Answer:

The square route of 64 is 8.

8x8=64

Answer:

The square root of 64 is 8

Step by step explanation:

8 x 8 = 64

Of the 150 students in 6th grade, 10% earned straight As last quarter. How many students earned straight As?

Answers

Answer: 15 students

Step-by-step explanation:

From the question, we are informed that there are 150 students in 6th grade, and that 10% earned straight As last quarter.

The number of students that earned straight As will be:

= 10% × 150

= 10/100 × 150

= 0.1 × 150

= 15 students

The hull speed of a boat in knots per hour is determined by the length of the waterline. The waterline is the length of the boat that is actually in the water. This relationship can be modeled by the function h=1.34l where h is speed of the boat and L is the length of the waterline in feet. What is the length of the waterline if the hull speed is 4 knots

Answers

Answer:

The length of the waterline when hull speed is 4 knots per hour in feet is 2.985 feet.

Step-by-step explanation:

Let the function [tex]h = 1.34\cdot l[/tex], where [tex]l[/tex] is the length of the waterline, measured in feet and [tex]h[/tex] is the hull speed of the boat, measured in knots per hour. If we know that [tex]h = 4\,\frac{kt}{h}[/tex], then the length of the waterline is:

[tex]l = \frac{h}{1.34}[/tex]

[tex]l = \frac{4}{1.34}[/tex]

[tex]l = 2.985\, ft[/tex]

The length of the waterline when hull speed is 4 knots per hour in feet is 2.985 feet.

Someone please help me

Answers

Expanded form means 3x3x3
As a power means 3 to the 3rd power (exponent of 3)
Value is 27 units cubed.

Answer:

TAke this for stealing points all the time :)

Step-by-step explanation:

3x+2y=315
2x+4y=450
How long does it take to do a haircut?

Answers

Answer:

1.x

=

105

2

y

3

2.x

=

225

2

y

Step-by-step explanation:

ad them all up

A deep freezer has a temperature of -6°C when it is turned off.

The temperature then rises at 1.2°C per minute.

Find y, the current temperature of the freezer after x minutes. Fill in the blank below to complete the equation:
y =

Answers

Answer:

y = -6 + 1.2*x is the answer I would use, but see the note below.

Step-by-step explanation:

Let x = the number of minutes.

Let y = the temperature at any given time.

y = -6 + 1.2*x

This is the equation that you would use if you were calculating y with a calculator. If you are in a chemistry class it should be written as

y = - 6°C + 1.2°x/ min

A recipe for lemonade calls for 1 cup of sugar and 6 cups of water. How much sugar is used per cup of water?

Answers

The answer is 1/6, or .16666...

Mr. Dorsey is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Dorsey's son is holding it steady. How long is the ladder?

Answers

Answer:

5

Step-by-step explanation:

PLEASE HELP IN COMPLETE SENTENCES I WILL MARK BRAINLIEST

Answers

Answer:

8km / 9 hours

Step-by-step explanation:

see the point is on

x axis = 9 = 9 hours

y axis = 8 = 8 kilometers

so the average speed of bus is 8 km in 9 hours

Answer:

mark as brainlest

Step-by-step explanation:

average speed = 9/10

=0.9kms-¹

10 of 12
How far does an object travel if it travels at 30km/h for 2 hours

Answers

Answer:

60km

Step-by-step explanation:

we multiply 30 with 2 and we get the answer as 60km in two hours.

find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π (no approximations)

Answers

Answer:

36π

Step-by-step explanation:

2π9² × 80/360 = area of sector

2π9² × 2/9 = 162π × 2/9 = 18π × 2 = 36π

36π is the area

PLS HELP WHAT IS THE MISSING ANGLE ?!

Answers

Answer:

Its B !!!

Step-by-step explanation:

Have a great day

A plane travels 2000 miles in 4 hours.What is the unit rate or miles per hour of the plane

Answers

Answer:

500

Step-by-step explanation:

2000/4=500

500*4=2000

Answer:

500 miles per hour

Step-by-step explanation:

4 multiplied by 500 is 2000

In a cookie mix, we find no-bake cookies, cinnamon cookies, and snickerdoodle cookies

in a ratio of 1 : 1 : 3. If a bag of the mix contains 48 snickerdoodle cookies, how many no-
bake cookies are there?

Answers

Answer:

There are 16 no-bake cookies.

Step-by-step explanation:

1 : 1 : 3

x : x : 48

x = 48 / 3

x = 16

Answer:

16

Step-by-step explanation:

48 divided by 3 is 16

i got the three from the ratio

I need help with my rsm hwrk pls help me

Answers

Answer: [tex]A= 32(\pi-2)\ cm^2, \ \ \ P=8\pi\ cm[/tex]

Step-by-step explanation:

When we consider Area under arc AC is is representing a quarter as ADBC is a square, [tex]\angle D=90^{\circ}[/tex].

Area of quadrant = [tex]\dfrac{\pi r^2}{4}[/tex]

here r= 8 cm

Area under Arc AC= [tex]\dfrac{\pi (8)^2}{4}=16\pi\ cm^2[/tex]

Area of white region ABC = Area of square ADBC - Area under Arc AC

[tex]=8^2-16\pi\ \ [\text{Area of square} = sides^2]\\\\= 64-16\pi\ \ =16(4-\pi)\ cm^2[/tex]

Similarly , Area of white region ADC =  [tex]16(4-\pi)\ cm^2[/tex]

Area of shaded region = Area of square - Area of white region ABC - Area of white region ADC

[tex]=64-(64-16\pi)-(64-16\pi)\\\\= 32\pi-64\ cm^2 \\\\= 32(\pi-2)\ cm^2[/tex]

Area of shaded region =[tex]= 32(\pi-2)\ cm^2[/tex]

Length of arc AC = [tex]\dfrac{Circumference}{4}=\dfrac{2\pi r}{4}[/tex]

[tex]\dfrac{\pi (8)}{2}=4\pi cm[/tex]

Perimeter of shaded region = 2(AC) = [tex]8\pi\ cm[/tex]

A cylinder has a radius of 14 meters. Its volume is 11,693.36 cubic meters. What is the
height of the cylinder?
Use a ~ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

The height would be 18.99

Please can someone help me !

Answers

Answer:

A

Step-by-step explanation:

pretty sure 99 percent sure

Answer:

It is the last one because they share similar sides based on how the triangle was created

Find the value of each of the following

Answers

Answer: C

Step-by-step explanation:

Help please pls help help help

Answers

Answer:

A

Step-by-step explanation:

The solution we're looking at here is a set of all the points between two parallel lines. Let's see what we can find out about those lines from the inequality, and use that the pick the correct option.

We can start by splitting the inequality at the top into two seperate inequalities:

[tex]7\leq y-3x<11\\y-3x\geq7\\y-3x<11[/tex]

From here, we can put each inequality into slope-intercept form:

[tex]y\geq3x+7\\y<3x+11[/tex]

Our slope for both lines is positive, so we can immediately eliminate B and D. A and C both display lines with slopes of 3 and y-intercepts of 7 and 11; the only difference is in which line is dashed and which line is solid.

As a reminder, a dashed line means that the line itself is not included in the solution, a solid line means that it is. Dotted lines always pop up when you see the symbols < and >, while solid lines pop up when you see ≤ and ≥.

[tex]y\geq3x+7[/tex] (Solid)

[tex]y<3x+11[/tex] (Dashed)

This matches up very nicely with the graph in A, our solution.

A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week?

Answers

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40

PLEASEE HELP WILL GIVE BRAINLEAST

Is Figure A’B’C’D’ a translation of Figure ABCD? Explain.


A.Yes; it is translated 2 units left and 2 units up.
B.Yes; it is translated 1 unit left and 3 units up.
C.Yes; it is translated 3 units left and 1 unit up.
DNo; the two figures are oriented differently.

Answers

Answer:

D-No, the two figures are oriented differently

Step-by-step explanation:

Answer:

I belive it is D if it is pearson savvas realize .

Hope it helps:)

Step-by-step explanation:

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