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

Solve by factoring 12x^3+12x^2=0

Answers

Factor out the GCF
12x^2(x + 1) = 0
Now you can do two parts
12x^2 = 0, x = 0
x + 1 = 0, x = -1

Solution: x = 0, x = -1

Factor out the GCF

12x^2(x + 1) = 0

Now you can do two parts

12x^2 = 0, x = 0

x + 1 = 0, x = -1

Solution: x = 0, x = -1

brainliest pls

Help quick 20 points

Answers

Answer:

Step-by-step explanation:

1) isosceles triangle d = (180 - 110) / 2 = 35°

2) 2h + 3h + 4h = 180

    9h = 180

      h = 20

2h = 40°

3h = 60°

4h = 80°

Would anyone be able to help with this? on my review and not sure how to do it

Answers

90 degrees - 78 degrees = 12 degrees

cofunction of sin is cos

answer : cos12

PLEASE HELP ME!!

use the correct form of ser and use a pronoun

Gabriela _____ mi hermana

Answers

Answer:Gabriela es mi hermana

Step-by-step explanation:

Gabriela es mi hermana

For which equations is 8 a solution? Select the four correct answers.
x + 6 = 2
x + 2 = 10
x minus 4 = 4
x minus 2 = 10
2 x = 4
3 x = 24
StartFraction x Over 2 EndFraction = 16
StartFraction x Over 8 EndFraction = 1

Answers

Answer:

x+2=10

x minus 4 = 4

x minus 2 = 10

3x = 4 are the answers .

Answer:

what he said ex for x-2=10 thats naught rite the correct are:

X+2=10

X-4=4

3x=24

X/8=1

Step-by-step explanation:

did it on the test!!!

A. What does each of these points represent in the is situation: (0, 0), (1, 55), and (5, 275)?

What does each of these points represent in this situation (0, 0), (1, 55) and (5, 275)? Graph shows Mr. Brown’s road trip, with time (h) on the x-axis and distance (mi) on the y-axis. Points marked on the line graph are at (0, 0), (1, 55) and (5, 275).

Answers

Step-by-step explanation:

[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{9999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]

In a class of 20 kindergarteners, 10 are wearing blue shirts, 5 are wearing green shirts, and 5 are wearing red shirts. A group of 10 kindergarteners is chosen at random to go outside for play time. What is the probability that exactly two of the group are wearing red shirts

Answers

as there are 30 children and from 30 children 2 will be picked (which will than be 2/30)

but if we simplify that by 2, than that will lead to the ANSWER OF: 1/15

The width of a rectangle is 6 kilometers
a
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.

Answers

Answer:

9,333333333333333 and 6 Km

Step-by-step explanation:

The width of a rectangle is 6 kilometers

less than twice its length. If its area is

56 square kilometers, find the

dimensions of the rectangle.

the area of ​​the rectangle is found by multiplying the width by the height, you have the area and the width, divide the area by the width and find the length

56 : 6 = 9,333333333333333 Km

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

check

9,333333333333333 * 6 = 56

the answer is good

Write an equation for a rational function with:
Vertical asymptotes at x = -5 and x = 3
x-intercepts at x = -4 and x = -3
y-intercept at 3

Answers

Answer:

B

Step-by-step explanation:

Can someone please help with my math homework? this is so confusing.

Answers

Hi there friend, your answer for perimeter is 18.

I’ve included a graph below to help explain why but basically if you count the squares, each side measures 4 1/2 units so if you multiply 4 1/2 units by 4(the number of sides) you get 18.

What is the solution to the system graphed?

A. (2,-1)
B.(1,-2)
C.(-1,2)
D.(-2,1)

Answers

Answer:  C.  (-1, 2)

Explanation: The two lines intersect at this point. This point satisfies both equations at the same time.

Write the equation of the line in y=mx + b form

Answers

Answer:

y=-4x+2

Step-by-step explanation:

all you need to do is find the x-axis and y-axis. That information is already there, so put It together

whats the answer can someone answer please​

Answers

Answer:

17. 4

18. 4w + 34

19. 39t + 54

Step-by-step explanation:

Answer:

answer of QN 17 is 3 ,answer of QN 18 is 4w + 34 and answer of QN 19 is 39t + 54

Anyone that can answer it right gets 30!

Answers

Answer:

First

Step-by-step explanation:

1.

[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]

[tex]5 + 3^2 = 5 + 9 = 14[/tex]

2.

[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]

[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]

3.

[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]

[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]

4.

[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]

[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]

Answer:

first and fourth

Step-by-step explanation:

Equate and compare both sides of the equations. If both sides are equal then the equation is true.

48 ÷ 8 + 2³ = 6 + 8 = 14

right side = 5 + 3² = 5 + 9 = 14

This is a true equation

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

9² - 7² = 81 - 49 = 32

right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4

This is not a true equation

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

[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6

right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2

This is not a true equation

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

[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16

right side = 22 - 2 × 3 = 22 - 6 = 16

This is a true equation

What is 59.56 rounded to the nearest whole number?​

Answers

Answer:

60

Step-by-step explanation:

Solve for x
5(x+8)=2x−7+8(x−1)

Answers

Answer:

x = 11

Step-by-step explanation:

5(x+8) = 2x - 7 + 8 (x - 1)

5x + 40 = 2x - 7 + 8x - 8

5x + 40 = 2x + 8x - 7 - 8

5x + 40 = 10x - 15

40 + 15 = 10x - 5x

55 = 5x

5x = 55

x = 55/5

x = 11

x=11

Step-by-step explanation:

5x+40=2x-7+8x-8

5x+40=10x-15

10x-5x=40+15

5x=55

x=55/5

x=11

Find the mode of project scores in math class 1 , 2 , 4 , 4 , 3 , 3 , 4 , 3 , 4 , 3 , 3 , 1

Answers

Mode is the bailie that is listed the most.

There are 5 3’s which is the most of any of the values given.

Mode = 3

Hello!

The mode is the number that is seen most often in the given dataset.

Let's take a look at all the numbers:

1 is seen twice

2 is seen once

3 is seen 5 times

4 is seen 4 times

So 3 is the mode. Hope it helps. Please ask me if you have any questions.

~An excited gal

#CarryOnLearning

[tex]MagicalNature[/tex] here to help

Question 3 What is the equation of the parabola that opens up, has a vertex V(5,0), and a y-intercept of 50?​

Answers

Answer:

y=2(x-5)^2

Step-by-step explanation:

Vertex form:

y=a(x-p)^2+q

(p,q) = (5,0)

y=a(x-5)^2

y-intercept has coordinates (0,50) so, substitute x=0 and y= 50 in the above equation to find "a"

50=a(0-5)^2

50=25a

a=2

equation

y=2(x-5)^2

(Express these ratios in their simplest form)
Shesho and Merto share a pizza in the ratios 3: 4 respectively. What fraction of the pizza did each get?

BRAINLIEST**

Answers

Answer:

3:4 itself.

3:4 itself.

Step-by-step explanation:

3:4 itself.

asap asnwerrrrrrrrrrrrrrrrrrrrrrrr

Answers

Angle 3 is 96 degrees - angles on a straight line add up to 180 degrees

Hope this helps!

What is sin 60°?
WA :)
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30
5
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B.
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C. 1
D.
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E. 5
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PREVIOUS

Answers

Answer:

F

Step-by-step explanation:

If you look at that triangle and do trigonometry with sin, you would have to do opposite/hypotenuse. This would be (square root of 3)/2

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4
5
6
7
8
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Which graph shows a set of ordered pairs that represent a function?
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-5 -4 -3 -2 -11
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Answers

3rd graph, far right on top

Step-by-step explanation:

Use the vertical line test to determine (one input for x cannot have two outputs of y)

What is John and Linda paid each hour

Answers

This question is out of context
Where is the equation or question?

Fill in the blank with a number to make the expression a perfect square.

y^2 + 6y + ?

Answers

Answer:

(y+3)^2 - 9

Step-by-step explanation:


Which table represents a linear function?

Answers

The table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below)

Recall:

A function that is linear has a dependent and independent variable, such that y = mx + b.The "m" represents the slope which is the same all through the points given.m = change in y / change in x

Thus, the fourth table has the following slope (m) that is the same across all points.

Using two pairs of points, (0, 1) and (1, 3):

Slope = 3 - 1/1 - 0 = 2/1

Slope (m) = 2

Any two pairs of points we use will give us the same slope (m) of 2.

Table 1, 2 and 3 will give us different slopes across the points on each table, meaning they do not represent a linear function.

Therefore, the table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below).

Learn more here:

https://brainly.com/question/13510925

There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

40%

6/15 is 0.4. Multiplied by 100, that makes 40%.

Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?

Answers

Answer:

$1343

Step-by-step explanation:

The equation would be

x= 1580 (1-0.15)

x represents how much he actually pays.

1-0.15=0.85.

1580×0.85=1343

The ratio of your monthly allowance compared to your friends monthly allowance is five to three and totally you and your friend make $40 how much money do you make

Answers

15$ is the answer to this question.

In the xy-plane, a line crosses the y-axis at the point (2, 2) and passes through
the paint (-3, -13). Which of the following is an equation of the line?

Answers

I would say the 2 one and for that one it’s 3

As a bonus question on a test, Mr. Smith wrote 8z + (5y6w). He told his students the values of each variable: w=6, y=2, and z = 7. What is the simplification of Mr. Smith's expression?​

Answers

Answer:

416

Step-by-step explanation:

Plug in the variables

8(7) + (5*2 * 6*6)

56 + (10 * 36)

56 + 360

416

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