f(x)=2x^2 + x - 6/ x-1

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Zeroes:

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

[tex]0=\frac{2x^2+x-6}{x-1}[/tex]

[tex]0=2x^2+x-6[/tex]

[tex]0=(2x-3)(x+2)[/tex]

[tex]x=\frac{3}{2},-2[/tex]

Vertical and Horizontal Asymptotes:

[tex]x\neq 1[/tex] is excluded from the domain, therefore, there's a vertical asymptote at [tex]x=1[/tex]

No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.

Oblique (Slant) Asymptote:

[tex]f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)[/tex], so the oblique/slant asymptote is [tex]y=2x+3[/tex]

F(x)=2x^2 + X - 6/ X-1

Related Questions


Put the numbers from least to greatest
3.55
3.544
3.554

Answers

Answer:

3.544 < 3.55 < 3.554

Step-by-step explanation:

Answer:

3.554 3.55 3.544

Step-by-step explanation:

i hope this answer helps you <3

Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.

Answers

Answer:

17.8 miles

Step-by-step explanation:

His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.

Since it asks for the distance he reduced to the office, we would do

21.45 - 3.65 = 17.8 miles

help plz we this work

Answers

Since it’s of 100, it’s how many squares are shaded in: 35
So it would be 35/100 or 35%
ANSWER: 35%

Simplify 7x + [x - (5 + x)].
O 7x - 5
O8X-5
9x - 5

Answers

Answer:

7x-5

Step-by-step explanation:

If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4

Answers

Answer:

Step-by-step explanation:

0 = 5x + 7

-7 = 5x

x = - 7/5 = -1.4

Answer:

-1.4

Step-by-step explanation:

h(x)=0=5x+7

or, 5x= -7

x= -7/5= -1.4

perform the operation and simplify

Answers

Answer:

[tex] \frac{x + 4}{3x(x + 1)} \\ [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 10x + 24 }{3 {x}^{2} + 3x} \div (x + 6) \\ \frac{ {x}^{2} + 4x + 6x + 24}{ 3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)(x + 6)}{3x(x + 1)} \times \frac{1}{(x + 6)} \\ \frac{(x + 4)}{3x(x + 1)} \\ [/tex]

Answer: the finished equation is (x+4)/3x*(x+1), so fill in one in the green square

Step-by-step explanation: it worked for me, the explanation is very long, but I would recommend using tiger algebra for a very detailed step by-step explanation, hope I could be a help

The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price. Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points)

Answers

Answer:

the answer is 24.23 $ thats what i got

Answer:

A. 2.11 and  B. 26.39+2.11=28.50

Step-by-step eplanation:

Find the difference of 651

Answers

What difference? You just said "Find the difference of 651", but what am I subtracting by? What equation?

How do I convert 10.8 mg to ml

Answers

You can’t convert mg to mL not compatible with each other

Answer:

10.8mg to ml

Step-by-step explanation:

If you want to convert mg to ml of water you use

1ml=1000mg,then convert the units

1ml=1000mg, then what is the ml of 10.8mg? by using crisscross, let unknown value is B

= 1ml=1000mg

B=10.8mg

=1ml*10.8mg

1000mg

=0.0108ml

Please help!!!

A. (-4,2)

B. (-4,-2)

C. (2,-4)

D. (2,4)

Answers

Answer:

A

Step-by-step explanation:

Have a nice day

the answer is A :) hope it helps!

the current population of earth is estimated to be about 7,440,000,000. express number in scientific notation

Answers

Answer:

7.44x10^9

Step-by-step explanation:

7.44 × 10⁹

hope this helps

help me out guys !!!?​

Answers

Answer:

4

Step-by-step explanation:

yeah-ya............. right?

Answer:

16

Step-by-step explanation:

because :-

f(x) =[x+6] x=-10

=[-10+6]

=10+6

16

A farmer had 21 goats all but 9 died how many survive ?

Answers

Answer:

9

Step-by-step explanation:

All but 9

Answer:

12

Step-by-step explanation:

I used a calculator I hhhhhhj

What expression is equivalent to 5(x+7)

Answers

Answer:

5x + 35

Step-by-step explanation:

Which relation is not a function?​

Answers

D because the same root can’t make two different answers


Fireman Bob leans a 40 foot ladder against a building at an angle of elevation of 70'. How far is the base of the ladder from the building (round your
answer to the nearest thousandth)?
Distance from base of the building

Answers

Answer:

Step-by-step explanation:

40cos70 = 13.68080573... 13.681 ft.

Lin and Diego want to run a race in which they will both finsh when the timer reads exactly 30 seconds. Who should get a head start, and how long should the head start be?

Answers

Answer:

Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.

Step-by-step explanation:

the length of a rectangle is 4 less than 3 times its width.if its width is 5 cm what will be its perimeter​

Answers

Answer:

32cm

Step-by-step explanation:

Answer:

Given that: The length of a rectangle is 4 less than 3 times its width. The perimeter of a rectangle is 32 cm.

2x5 what would 2x5=?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10 would be the answer.

Step-by-step explanation:

2+2+2+2+2 Hope this helps!

A store sells six cupcakes for $7. How much do 18 cupcakes cost?

Answers

Answer:

21 cupcakes

Step-by-step explanation:

6 = $7

18 = 6 x 3

18 = 7 x 3

18 = $21

Answer:

21

Step-by-step explanation:

We can use proportions to solve

6 cupcakes        18 cupcakes

------------------- = -----------------

7 dollars               x dollars

Using cross products

6x = 7* 18

6x =126

Divide by 6

6x/6 =126/6

x =21

(PHOTO) Please help need this done by tomorrow thank you​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve ~

[tex]3x + 2 = x + 28[/tex]

now let's deduct x from both sides ~

[tex]3x + 2 - x = x + 28 - x[/tex]

[tex]2x + 2 = 28[/tex]

therefore, the missing term in the box is ~ 2

[tex] \boxed{2}x + 2 = 28[/tex]

Answer:

? = 2

Step-by-step explanation:

To get the x to the other side, subtract x on both sides, then combine like terms.

[tex]3x+2=x+28\\3x+2-x=x+28-x\\2x+2=28[/tex]

a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?

Answers

Answer:

B a vertical translation 50units right

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 14 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)

Answers

Answer:

Step-by-step explanation:

V = 4πR³/3 + πR²h

h = (V - 4πR³/3) / πR²

A =  4πR² + 2πRh

A =  4πR² + 2πR((V - 4πR³/3) / πR²)

A =  4πR² + 2((V - 4πR³/3) / R)

A =  4πR² + 2V/ R - (8πR³/3) / R

A =  4πR² + 2(14)/ R - 8πR²/3

A =  (4π - 8π/3)R² + 28/R

A =  (4π/3)R² + 28/R

dA/dR = (8π/3)R - 28/R²

       0 = (8π/3)R - 28/R²

28/R² = (8π/3)R

     R³ = 28(3 / 8π)

      R = 1.49513...

      R = 1.50 cm

which makes the cylinder height 0.00 cm. The figure is a sphere.

what is the ratio of 5:2

Answers

Answer:

5/2

Step-by-step explanation:

Simplify.

510√




2√

2√2

10√2

5√

Answers

Answer:if you know how to do this your smart and in two years if someone can Answer ill give you a mil in cash swear

Step-by-step explanation:

Answer:

√10/2

Step-by-step explanation:

I took le test

help please ill give the person who answeres honstly a biranly and 25 points ofc ofc

Answers

Answer:

Alright I’ll go in order

Well first things first I’m gonna make the numbers in order first to make life easier

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

#1: Is asking for the median of the data

The median is basically the center of the data in order

In this case the middle number here is 40 and 41, we jsut find the average between those 2 to find it. 40+41= 81 81/2= 40.5

Median :40.5

#2: Is asking for the mode

The mode is the number that comes up or repeats the most.

in this case it’s 39, 40, and 46

Mode: 39, 40, 46

#3: Is asking for the mean

The mean is basically the average, you add up all the given numbers and divide it by the amount of numbers there are. In this case it goes something like

22+36+39+39+40+40+41+42+45+46+46+49

you would get 446

Now theres 12 numbered so we divide that by 12

446/12 you’d get 37 1/6 as ther average or 37.166666666666…

#4: Is asking for the range

You just find the difference ebetween the greatest number and llowest number. In this case it’s 49-22 so you got 27

Range: 27

I think you can figur the rest out on your own!

Please take a look at the picture

Answers

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

evaluate (2/3)6 power
evaluate 2/3 evaluate 2/3 6th power ​

Answers

Answer:

  64/729

Step-by-step explanation:

(2/3)^6 = (2^6)/(3^6) = 64/729

A group of 4 friends went out for a special dinner. the items they ordered are listed below
24.95+18.96+17.55+23.14+12.00=96.60
Part B: The four friends decided to split the bill evenly. How much does each friend owe

Answers

My friends the answer is 3.

  24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60

  4 divided by 12 is 3

       

brainliest
chose a point below that lies on the function y -10=-3(x-2)
(2,10)
(-3,2)
(-2,-3)
(10,2)

Answers

Answer: (2, 10)
Explanation: Graphing gives you a negative slope that intersects the first quadrant. The point hits that line perfectly
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