For all x in the domain of the function (x+1)/(x^3-x) this func-
tion is equivalent to

Answers

Answer 1

Answer:

The function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

Let us simplify this function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

        [tex]=\frac{x+1}{x\left(x+1\right)\left(x-1\right)}[/tex]     ∵ [tex]Factor\:x^3-x=x\left(x+1\right)\left(x-1\right)[/tex]

Cancel the common factor (x+1)

        [tex]=\frac{1}{x\left(x-1\right)}[/tex]

Therefore, the function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

         

Answer 2

Answer:

wrong

Step-by-step explanation:


Related Questions

2x^3 + 10x^2 − 4x^2y − 20xy

Factor the entire expression completely. Show the steps of your work.

Answers

Answer:

2x ( x + 5 ) ( x − 2 y )

Step-by-step explanation:

1) factor out 2x from the equation

2) factor out x from the equation

3) factor out -2y from the equation

4) factor out x + 5 from the equation

2x ( x + 5 ) ( x − 2 y )

is this how its spelled: queue
i mean like for example "queue the music" but idk if thats how you spell queue

Answers

Answer: You're right

Step-by-step explanation:

complete the point-slope equation of the line through (1,0) and (6,-3)

Answers

Answer: y- (-3)= -3/5 (x-6)

Step-by-step explanation:

4x^10 + 9x^10 what is the sum or difference

Answers

Answer:

[tex]13x^1^0[/tex]

Step-by-step explanation:

[tex]4x^1^0+9x^1^0[/tex]

Add similar elements:

[tex]4x^1^0+9x^1^0=13x^1^0[/tex]

List all sets that -1/3 belongs to.

Answers

Answer:

dfffffffff

Step-by-step explanation:

xcdsw23456iu76

How many 1 6 cup servings are in 3 4 cups of popcorn? (in simplest fraction form)

Answers

Answer: 8/17

Step-by-step explanation: 16 ÷ 34 = 8/17

Hope this helps ^_^

Pregnancy length (in days) is a normally distributed random variable with a mean of 266 days and a standard deviation of 16 days. Calculate the z-score for a pregnancy lasting 286 days. Do not round.

Answers

Answer:

it=552

Step-by-step explanation:

with rounding it = 550

The value of z-score for a pregnancy lasting 286 days will be;

⇒ z - score = 1.25

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

Mean = 266 days

Standard deviation = 16 days

Now,

We know that;

⇒ z - score = (X - μ) / σ

Substitute all the values, we get

⇒ z - score = (286 - 266) / 16

⇒ z - score = 20/16

⇒ z - score = 1.25

Thus, The value of z - score = 1.25

Learn more about the standard deviation visit:

https://brainly.com/question/475676

#SPJ5

Please help i will give brainlest!​

Answers

Answer:

6×1+9×1/10+4×1/100+7×1/1000

Step-by-step explanation:

What is the value of the expression below?
-8+19+8
ОО
O 11
O 19
O 35

Answers

Answer:

the answer would be 19.

Step-by-step explanation:

-8+8=0

0+19=19

Answer:

19

Step-by-step explanation:

Can someone help? I really don’t understand this at all!

Answers

is this pathogroem therom?

3x -5y + 2z = -53
x - 7y - 4z = -37
5x+9y+2x = 57

Answers

Answer:

answer is 57

Step-by-step explanation:

3x-5y sshsbwisiehdducux sh

please please help me!!

Answers

Answer:

slope is 4

Step-by-step explanation:

slope of the line is the diference in y /diference in x between any 2 points that belong to the line

slope=(10-2) / (3-1) = 8/2 =4

I need help I am in 3grade and I need help with it so if you can please help​

Answers

Answer:

what do you need help with exactly?

Step-by-step explanation:

Answer:

your supposed to ask a question

Step-by-step explanation:

An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?

Answers

62 quarts of ice cream can be made in 1 hour. brainliest?

Can someone help me please?

Answers

Answer:

the first one and the last three

Step-by-step explanation:

that should be it.

A, e,d,f........................

How many pounds of grapes can I buy for $1.00?

Answers

2.09

Here you go! Hope it helps!

Lilly was shopping and saw the following prices on different packages of the same item

Answers

Answer:

What's the question?

Step-by-step explanation:

The time taken by artisans A. B and C to do an
embroidery job is 15 hours, 18 hours, and 15 hours.
respectively. A, B, and C begin working together but
after 3 hours B is put on another job. How long will A
and C take to finish the embroidery job?​

Answers

Answer:

3 hours 15mins

Step-by-step explanation:

in 1 hours time, A will complete 1/15 of the job, B will complete 1/18 and C 1/15.

After 3 hours, A completed 3/15 (aka 1/5) of the job, B 3/18 (aka 1/6) and C being the same as A.

total job done after 3 hrs is 1/5 + 1/6 + 1/5 which is 17/30 of the job

left: 13/30

in 1 hr, A and C will do 2/15 of the job (4/30)

therefore, no. of hours needed: 13/4 hours = 3.25 hours (3 hours 15mins)

Which statement is true regarding the functions on the
graph?

° f(2) = g(2)
° f(0) = g(0)
° f(2)= g(0)
° f(0) = g(2)


Answers

Answer:

f(2) = g(2)

General Formulas and Concepts:

Alg I

Reading a Cartesian PlaneIdentifying CoordinatesSolutions of systems of equations

Step-by-step explanation:

We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.

Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.

Answer: A f(2) = g(2)

Step-by-step explanation: look at the picture

Help me please thanks :)

Answers

Answer:

I think its Distributive Property

Step-by-step explanation:

Hope this helped

4.497 < 4.387
Is this true?

Answers

Answer:

Yes

Step-by-step explanation:

HELP ME PLEASEEEE!!
High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders were placed and they totaled $195, how many roses and carnations were ordered?

Answers

Answer:

11 roses and 12 carnations

Step-by-step explanation:

(11*3)+(1.50*3)=195

Ben’s favorite deli says the average serving time is 12 minutes. Ben notices that the wait time at the deli varies at different times of day, before and after noon. His observations when the wait time is as advertised can be represented by the equation 2|x − 2| − 12 = 0. Solve for the times when the serving time is as advertised, relative to noon. Group of answer choices (THERES ALOT OF ANSWERS BE PREPARED) SELECT ALL THE ANSWER CHOICES.


4pm,

8pm,

9am,

3pm,

noon,

11am,

6pm,

9pm,

7am,

1pm,

2pm,

5pm,

10pm,

10am,

8am,

7pm,

6am,

Answers

Answer:

8 pm and 8 am

Step-by-step explanation:

Let us solve the equation

[tex]2|(x-2)|-12=0[/tex]

There is a modulus in the equation this means that one value of the modulus will be positive and the other will be negative

Let us solve for the positive first

[tex]2(x-2)-12=0\\\Rightarrow 2x-4-12=0\\\Rightarrow x=\dfrac{16}{2}\\\Rightarrow x=8[/tex]

Now we add this value with 12 noon

So

[tex]12+8=8\ \text{pm}[/tex]

Let us solve for the negative

[tex]2(-(x-2))-12=0\\\Rightarrow 2(2-x)-12=0\\\Rightarrow 4-2x-12=0\\\Rightarrow x=-\dfrac{8}{2}\\\Rightarrow x=-4[/tex]

So

[tex]12-4=8\ \text{am}[/tex]

The times when the serving time is as advertised is 8 pm and 8 am.

When x is 4, y is 12. If y varies directly as x, which equation relates x and y?

Answers

Answer:

12/4

Step-by-step explanation:

y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x

so in this case, it would be 12 divided by 4 resembling that y varies directly as x

Answer this question please and i will give brainliest

Answers

Answer:

false the answer is false

Step-by-step explanation:

(I'LL GIVE BRAINLIEST AND EXTRA POINTS IF YOU HELP!!!)

Answers

Answer:

24/6048 = 252

Step-by-step explanation:

brainlest plz

and why does she have so many beads

Answer:

she said 24 only goes into 60 once, when in reality it can go in twice

Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?

Answers

Answer:

Linear graph

y = 3x + 21

Step-by-step explanation:

Can someone help me please

Answers

Answer:  56 degrees

===================================================

Work Shown:

For any triangle, the three interior angles always add to 180

(4x-12) + (6x-17) + (2x+5) = 180

(4x+6x+2x) + (-12-17+5) = 180

12x - 24 = 180

12x = 180+24 ..... adding 24 to both sides

12x = 204

x = 204/12 ..... dividing both sides by 12

x = 17

We can use this x value to find the three angles

4x-12 = 4*17-12 = 56

6x-17 = 6*17-17 = 85

2x+5 = 2*17+5 = 39

As a check,

56+85+39 = 180

which confirms we have the right x value.

We see that 56 is the middle angle, so this is the second largest angle.

There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies.
Then, he uses 1.2 cups of sugar and 5.1 cups of flour for making banana bread.
How many cups of flour are left?

Answers

Answer:

10.1 cups left

Hope this helps!

Can you pls give brainly if this helps

Follow the steps to finish solving the equation -3x+ 18=7x

1. Add 3x to both sides to isolate the variable term

2.Divide both sides by 10

PLEASE HELP WILL GIVE BRAINLYEST AND 20 POINTS

Answers

Answer:

9/5=x

Step-by-step explanation:

-3x+ 18=7x

-3x+3x+ 18=7x +3x

18=10x

18/10=10x/10

9/5=x

Answer:

Step-by-step explanation:

- 3x + 18 = 7x

- 3x + 3x + 18 = 7x + 3x ⇔ 18 = 10x

[tex]\frac{18}{10}[/tex] = [tex]\frac{10x}{10}[/tex] ⇔ 1.8 = x

x = 1.8

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