Estimate the limit 1/x+2-1/4/x-1

Estimate The Limit 1/x+2-1/4/x-1

Answers

Answer 1

Answer:

Step-by-step explanation:

Begin by finding a common denominator in the numerator of that rational expression. The common denominator is 3(x+2):

[tex]\frac{\frac{(3)1}{(3)x+2} -\frac{(x+2)1}{3(x+2)} }{x-1}[/tex] which simplifies to

[tex]\frac{\frac{3}{3x+6} -\frac{(x+2)}{3x+6} }{x-1}[/tex] which simplifies further to

[tex]\frac{\frac{3-x-2}{3x+6} }{x-1}[/tex] and

[tex]\frac{\frac{1-x}{3x+6} }{x-1}[/tex]  Bring up the lower fraction and flip it and multiply:

[tex]\frac{1-x}{3x+6}*\frac{1}{x-1}[/tex]  In order to make the 1-x into x-1, multiply the numerator of that fraction on the left by -1 to get:

[tex]-\frac{x-1}{(3x+6)(x-1)}[/tex] and now the x-1 terms cancel out, leaving us with:

[tex]-\frac{1}{3(1)+6}=-\frac{1}{9}=-.1111[/tex]


Related Questions

The new Apple Watch series 7 cost $799. There is an additional 7% sales tax rate . If Oscar has a total of 850.00 to spend, will he be able to purchase the new Apple Watch Series 7? Explain.

Answers

The total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.

The given parameters;

cost of new Apple Watch Series 7, = $799sales tax, = 7%Oscars available cash = $850

The total cost of the new Apple Watch Series 7 is calculated as follows;

Total cost = 0.07(799)  +  799

Total cost = $854.93

Thus, we can conclude that the total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.

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12/23+(9 6/8−3 1/4) sorry for asking the same question but I NEED HELP

Answers

Answer:

[tex]\frac{12}{23} + (9 \frac{6}{8} - 3 \frac{1}{4})[/tex]

Exact Form:

[tex]\frac{323}{46}[/tex]

Decimal Form:

7.02173913  

Mixed Number Form:

7 [tex]\frac{1}{46}[/tex]

Step-by-step explanation:

Use the information to complete the Venn diagram. 80 people surveyed on pets they own. 64 people indicated they owned a dog. 34 people indicated they owned a cat and a dog.

Answers

Answer:

34 will go in the middle of the two, 80 is everybody who voted, end 64 is the people that own the dog. No people on the cat

Step-by-step explanation:

there

A study found that 85% of sports business executives surveyed believed that sponsor development of ________ in new venues will be a benefit of top-tier sponsorships in coming years.

Answers

sports. it makes sense

There are a total of 66 people attending a carnival. The ratio of adults to children is 4 to 7. How many adults are attending the carnival? Enter your answer in the box. adults

Answers

Answer:

24 adults

Step-by-step explanation:

The equation to represent the scenario is

4x + 7x = 66

Combine like terms

11x = 66

Isolate x

x = 6

To find the amount of adults attending the carnival, substitute 6 with x.

6*4 = 24 adults

7*4 = 42 children

24 + 42 = 66 people in total

PLEASE ANSWER ASAP, WILL BRAINLIESS

Answers

Answer:

Step-by-step explanation Let g be the function defined by 8(x) = f*r(t) dt. (a) Find the average rate of change of g from x = -5 to x = 5. (b) Find the instantaneous rate of change ...

The first term of an arithmetic sequence is 4. The rule a↓n=a↓n+1 + 5 can be used to find the next term of the sequence.
a 4
b 5
c 9
d -1​

Answers

Answer:

  c.  9

Step-by-step explanation:

Using the rule, substituting 4 for a↓1, we find the next term to be ...

  [tex]a_2 = a_1 +5\\\\a_2=4 +5\\\\\boxed{a_2=9}[/tex]

1000+1000-1000

I will give you branlys answer ​

Answers

1000 is the answer. 1+1=2, 2-1=1.

Answer:

1000+1000-1000= 1000

Step-by-step explanation:

First you start by adding 1000 with 1000

1000+1000= 2000

Then Subtract,

2000-1000= 1000

Hope This Helps !!

the smallest 3 digits even number formed form 5,6,3 is ​

Answers

Answer:

3,5,6

Step-by-step explanation:

because 300 divided by 2 is 150

50 divided by 2 is 25

and 6 divided by 2 is 3

How is solving for speed similar to solving for time

Answers

Answer: The both involve writing a rate

I hope this helps i would appreciate brainliest if possible :)

what are the reasons to #3 and #5??

options for both #3 and #5

- CPCTC
- Given
- When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary
- opposite sides of a parallelogram are parallel
- reflexive property
- angles that are supplementary to the same angle are congruent

Answers

Answers:

3) When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary.5) angles that are supplementary to the same angle are congruent.

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

Explanation:

Basically, statements 3 and 4 are nearly identical. They both use the exact same reasoning. For statement 3, the parallel lines are QT and RS, with QR being the transversal. Refer to the same side interior angles theorem. It's also known as the consecutive interior angles theorem.

-------------

For statement 5, consider the idea that if

Q+R = 180

Q+T = 180

then those two equations lead to T = R. Both angles T and R are supplementary to angle Q, so they must be the same angle. So that's why we go with the "angles that are supplementary to the same angle are congruent" option for this part.

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.


20% tip on a bill of $37.27

what is the amount of the tip is approximately

Answers

$7.40
Round $37.27 to $37.00
Then multiply $37 by .2

During a snowstorm, Noah tracked the amount of snow on the ground. When the
storm began, there was 1 inch of snow on the ground. For the first 4 hours of the
storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 2
hours and then started again at a constant rate of 2 inches per hour for the next 6
hours. Make a graph showing the inches of snow on the ground over time using the data that Noah created
data that Noah collected.
Click twice to plot a segment.
Click a segment to delete it.
25
24
23
22
ow on the Ground (Inches)
20
19
18
17
16
15
14
13
12
9

Answers

Answer:

ss the question

Step-by-step explanation:

−3 ≤ n < 2
−2 < m < 4
n and m are integers.
Given that n = m, write down all the possible values of n.

Answers

_1,0,1 are possible value of n

The length of pop music songs is normally distributed with meze length of 215 seconds and a szard
deviation of 38 seconds. What percent of pop songs have lengths between three and four minutes?
(1) 48%
(3) 61%
(2) 57%
(4) 67%

Answers

58% of pop songs have lengths between three and four minutes

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score, \mu=mean,\sigma=standard \ deviation\\\\Given\ that:\\\\\mu=215,\sigma=38.\\\\For\ x=3\ min(180\ sec):\\\\z=\frac{180-215}{38}=-0.92\\\\For\ x=4\ min(240\ sec):\\\\z=\frac{240-215}{38}=0.71[/tex]

From the normal distribution table, P(180 < x < 240) = P(-0.92 < z < 0.71) = P(z < 0.71) - P(z < -0.92) = 0.7611 - 0.1788 = 0.5823 = 58%

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Predict the next number in this pattern:

2/3, 2/27, 2/243, 2/2187, 2/19683, ...

Answers

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

what is 11/10 as a percent??

Answers

Answer: 110%

Step-by-step explanation: All you have to do is divide the numerator (11) by the denominator (10) which gets you 1.1 and then just add a 0 at the end to make it out of 100 so it would be 110%

(-1/2+7/10)-(-3/4x-1/5)

Answers

Answer:

( − 1 2 + 71 0 ) − ( − 3 4 ⋅ − 1 ⋅ 1 5 )

Step-by-step explanation:

Four students were scheduled to get a book report in 1 hour. after the first report 2/3 hour remind. The next two reports took 1/6 hour and 1/4 hour. what fraction of the hour remained?

HELP please!!!! Due in 5 min

Answers

1/4 of the hour is remaining. Sorry if this is post-late.

I need the solution urgently plz help me with the question I will mark you brainleist​

Answers

Answer:

This is the answer thanks me later

Emmalie is 32 inches tall. If her brother Joshua was 3.5 inches taller, he would be exactly twice Emmalie's height. How tall is Joshua? Enter your answer as a decimal in the box.

Answers

Answer:

60.5in

Step-by-step explanation:

32(2) - 3.5 = 60.5

Answer:

HERES ALL THE QUIZZES ANSWERS!

Question One/1:

9.5(w+5.7)=77.9

Question Two/2:

The scuba diver is 27 feet below sea level.

Question Three/3:

25.50

YOUR QUESTION: Question 4:

60.5 inches (in)

Question Five/5:

58 3/4 (mi)

Step-by-step explanation:

k12

MATH,

MIDDLE SCHOOL,

7TH GRADE,

HALFWAY.

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what is the measure of angle x?

Answers

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

The graph of g(x) = x + 2 is a translation of the graph of the parent function 2 units [ A. right , B. left , C. up , D. down ].
The graph of g(x) = 3(–x) is the graph of the parent function stretched vertically and reflected across the [ A. x-axis, B. y-axis ].
The graph of g(x) = (5x) is a [ A. vertical stretch, B. vertical compression, C. horizontal stretch ,D. horizontal compression ] of the graph of the parent function.

Answers

Answer:

Step-by-step explanation:

1. C

2. B

3. D

How many cups are in 1 liter

Answers

Each liter is equivalent to exactly: 4.22675 cups.

I hope this helps!

You charge $1625 on your credit card that adds 8.2% intere don't make any payments, what will your balance be after 4 years compounded continuously?"​

Answers

Answer:$2227.22

Step-by-step explanation: I answered your question in your comment. If its not right report it please.

Solve the following system using the elimination method
y+3x=−2
2y−3x=14

Answers

Answer:

x = -2-y/3

Step-by-step explanation:

At a particular time, a tree casts a shadow 17 m long on horizontal ground. At the same time, a vertical pole 3 m high casts a shadow 4 m long. Calculate the height of the tree to the nearest tenth of a meter.

Answers

Using a system of equations, the height of the tree would be 12.80 meters.

Equating the height and shadows of the tree and pole :

Height of pole / shadow of pole = height of tree / shadow of tree

Representing the equation thus :

Let the height of the tree = h

3/4 = h/17

Cross multiply

4h = 17 × 3

4h = 51

Divide both sides by 4

h = 51/4

h = 12.75.

Hence, the height of the tree to the nearest tenth of a meter is 12.80 meters.

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Function or non functional ? Pls help :c

Answers

A function because there are no two y values with one single x value

Answer:

none functional

was I right?

Step-by-step explanation:

For their group project, Mia and Ichiro researched
hybrid cars that combine gas and an electric motor.
“Awesome, so it consumes less fuel and emits less
CO2 into the environment,” Ichiro said.
“While hybrid cars are better for the environment,
I’m seeing that some people are hesitant to buy one
because of the higher purchase price,” Mia noted.
They found the graph to the right, which shows the
miles per gallon (MPG) and the annual tons of GHG
produced by 8 different types of cars. If each gallon
of gasoline burned created 20 pounds of GHG, and
the price of gasoline was $2.454 per gallon, how
much money was saved annually on gas by the car
that got 40 miles per gallon when compared to the
car that got 20 miles per gallon? Provide your answer
to the hundredths place. Note: 1 ton = 2,000 pounds. This is from Pg.2 -7th Grade math problem.

Answers

Hybrid cars have lower operational cost and reduce Green House Gases

GHG when journeys are made on a frequent basis.

The amount saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon is $1,076.76.

Reasons:

The given parameters are;

The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds

The price per gallon of gasoline = $2.454

Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.

Amount of GHG produced per year by cars A = 4.4 tons

4.4 US tons = 8,800 lbs

Amount of GHG produced per year by cars A = 8.8 tons

8.8 US tons = 17,600 lbs

[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}[/tex]

Cost of gasoline consumed per year by car A per year is therefore;

[tex]Cost_A[/tex] = 440 gallons × $2.454 = $1,079.76

[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons[/tex]

Cost of gasoline consumed per year by car B per year is therefore;

[tex]Cost_B[/tex] = 880 gallons × $2.454 = $2,159.52

The amount saved annually by car A compared to car B is therefore;

Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76

The amount saved on gas by the 40 MPG car = $1,079.76

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Please helpppp me step my step all the wayyy Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $75 and was discounted 15% Daniels suitcase originally cost 85$ and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?

Answers

Answer: Carla's suitcase was a better purchase.

Step-by-step explanation: Solution:

Cost Price of Carla's suitcase = $75

Discount% for Carla = 19%

The amount paid by Carla is,

So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

Discount% for Jeana = 20%

The amount paid by Jeana is,

So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

For carlas suitcase I got 63.75 not 60.75
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