Solve the equation
(x/x+2) - (4/x-2) = 1

Solve The Equation (x/x+2) - (4/x-2) = 1

Answers

Answer 1

Answer:

           [tex]\bold{x=-\dfrac23}[/tex]

Step-by-step explanation:

[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]

Answer 2

The solution to the equation is x = -2/3.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equation is  [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].

Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]

Hence, the solution to the equation is x = -2/3.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ5


Related Questions

Decrease £843 by 91% rounded to 2 DP

Answers

Answer:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

91% = 91/100 = 91 ÷ 100 = 0.91.

100% = 100/100 = 100 ÷ 100 = 1.

Decrease number by 91% of its value.

Percentage decrease = 91% × 843

New value = 843 - Percentage decrease

Calculate the New Value

New value =

843 - Percentage decrease =

843 - (91% × 843) =

843 - 91% × 843 =

(1 - 91%) × 843 =

(100% - 91%) × 843 =

9% × 843 =

9 ÷ 100 × 843 =

9 × 843 ÷ 100 =

7,587 ÷ 100 =

75.87

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 843 =

75.87 - 843 =

- 767.13

Proof.

Calculate percentage decrease:

Percentage decrease =

91% × 843 =

91 ÷ 100 × 843 =

91 × 843 ÷ 100 =

76,713 ÷ 100 =

767.13

Step-by-step explanation:

Hope it is helpful....

Estimate the sum by rounding each number to the nearest half or whole.
2 1/2 + 5 5/8=

O 8 1/2
O 8
O 7
O 7 1/2

Answers

If you add them together the sum is 8 1/8 and if you round it it’s 8

6.A = 23 × 3 × 5 B = 22 × 3 × 52
Write down the highest common factor (HCF) of A and B.Required to answer. Single line text.
(1 Point)

Answers

Given:

The two numbers are

[tex]A=23\times 3\times 5[/tex]

[tex]B=22\times 3\times 52[/tex]

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

[tex]A=23\times 3\times 5[/tex]               ...(i)

[tex]B=22\times 3\times 52[/tex]

All the factors of A are prime but the factors of B are not prime. So, it can be written as

[tex]B=2\times 11\times 3\times 13\times 2\times 2[/tex]          ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

[tex]HCF(A,B) = 3[/tex]

Therefore, the highest common factor (HCF) of A and B is 3.

(12x -2) - (-3x + 4) anyone got the answer?

Answers

Answer:

15x - 6

Step-by-step explanation:

(12x -2) -1 (3x+4)

(12x - 2 + 3x-4

12x-2+3x -4

12x -6 + 3x

15x - 6

Mary rides her horse 30 miles in 2 1/2 hours. What is her average speed in miles per hour?

Answers

Answer:

12 miles per hour

Step-by-step explanation:

HELP ASAP !! I have trouble with this

Answers

Answer:

x= 0.7227 in radians

x= 41.4096 in degrees

Step-by-step explanation:

cos(x) = 6/8

Find the value of y. Round your answers to the nearest tenth

Answers

Answer:

y ≈ 4.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{RS}[/tex] = [tex]\frac{ED}{VU}[/tex] , substitute values

[tex]\frac{6}{4}[/tex] = [tex]\frac{8}{y+1}[/tex] ( cross- multiply )

6(y + 1) = 32

6y + 6 = 32 ( subtract 6 from both sides )

6y = 26 ( divide both sides by 6 )

y ≈ 4.3 ( to the nearest tenth )

Answer:

4.3 Is the answer like the value of X in the nearest tenth.

How do i find this slope?!?!?!

Answers

The slope is 3/4 because it is 3 units up and then 4 units to the right.

Answer:

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Here are the equations you can use to find the slope;

Slope. y2 - y1 / x2 - x1 = slope.

Slope Intercept form. y = mx + b.

Point slope form. y - y1 = m ( x - x1)

Write the slope-intercept form of the equation of each line.

Answers

Step-by-step explanation:

you look at how the line intersects with an integer point.

on the y-axis, the line has a value of -2 so it has a y-intercept value of -2

so the slope formula is rise/run.

As we can see on the graph, there is no line on the graph that truly lines up with a point besides (0,-2)

if we look at all of the slopes

from A,B,C, and D, and there are not any slopes besides d that are on the graph.

y=mx+b

m=slope

b=y-intercept

If we expand the graph a little bit we can see that the point (0,-2) goes up 7 and goes to the left of 4 units.

so the answer is D    : y=-7/4x-2

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

and since we go up and to the left or we go down and to the right that determines that the slope is negative.

If we started on a point on the y-axis, and started and went up and to the right or down and to the left.

Hope that helps :)

Please give brainliest

3. Are these figures congruent?
A Yes, they are congruent.
B) No, they are not congruent.

Answers

Answer:

B) No, they are not congruent.

One is smaller than the other & hence they are not congruent.

Answer:

B

Step-by-step explanation:

If they were to be congruent, they would have to be the same size and look the same in all aspects including angles and side lengths, but they aren't as they are similar shapes, therefore B.

Hope this helps!!

Explain why the product of a non-0 rational number and an irrational number is irrational?

Answers

Answer:

An irrational number is a number that can not be written as the quotient of two integer numbers.

Then if we have:

A = a rational number

B = a irrational number.

Then we can write:

A = x/y

Then the product of A and B can be written as:

A*B = (x/y)*B

Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.

(x/y)*B = (m/n)

If we isolate B, we get:

B = (m/n)*(y/x)

We can rewrite this as:

B = (m*y)/(n*x)

Where m, n, y, and x are integer numbers, then:

m*y is an integer

n*x is an integer.

Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.

Then the product of an irrational number and a rational number different than zero is always an irrational number.

We need to add the fact that the rational number is different than zero because if:

B is an irrational number

And we multiply it by zero, we get:

B*0 = 0

Then the product of an irrational number and zero is zero, which is a rational number.

Which graph has a slope of 4/5?

Answers

Answer: The second one

Step-by-step explanation:

I need help ASAP!!!!!!

Answers

Answer:

1. YES  2. NO

Step-by-step explanation:

1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.

2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.

Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets. *

A: 7.25a + 5.50s = 8 and a + s = 52.75
B: 7.25a + 5.50s = 52.75 and a + s = 52.75
C: 7.25a + 5.50s = 52.75 and a + s = 8

Answers

uMMMMMMMM I don't know

Solve for X. Please solve all four. First person to do so will get brainliest.

Answers

Answer:

x=-12

x=10

x=-8

x=-5

Step-by-step explanation:

Answer:

1.x=-12

2.x=10

3.x=-8

4.x=-5

Step-by-step explanation:

James travels 147 metres in 2 seconds.
Find the average speed of James during that time.
Give your answer correct to 1 decimal place where appropriate.
m/s

Answers

Answer:

73.5m/s is the average speed

Step-by-step explanation:

147/2=73.5

Solve by subsititution:
X = - 3y + 1
-3x - 3y = -15

Answers

Answer:

y=-2   x=7

Step-by-step explanation:

.The measures of the angles of a triangle are in the extended ratio 6: 1: 5. What is the measure of the largest angle?​

Answers

Answer:

90

Step-by-step explanation:

Ratio = 6 : 1 : 5

Angles are 6x ,x , 5x

Sum of all the angles of the triangle = 180

6x +x +5x = 180

         12x = 180

            x = 180/12

x = 15

Largest angle = 6x = 6*15 = 90

You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your friend complete in 9 hours? please help!!!

Answers

Answer:

Your friend complete 1 level per 9 hours.

You complete 5 levels in 45h so you get 1 lv per 9h 45/9=5

An isosceles triangle has an angle that measures 118°. Which other angles could be in that isosceles triangle? Choose all that apply. a 69° b 31 c 118 d 54​

Answers

Answer:

b. 31.

Step-by-step explanation:

The other 2 angles in the triangle are congruent so they are:

(180 - 118) / 2

= 31 degrees.

The possible measure of two similar angles in an isosceles triangle could be b. 31 °

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in an isosceles triangle two sides are equal and angles opposite sides to the equal side are also equal.

We also know that the sum of all the interior angles in a triangle is 180°.

Let, The similar angles be 'x'.

Therefore,

x + x + 118 = 180

2x = 62.

x = 31°.

learn more about the isosceles triangle here :

https://brainly.com/question/2456591

#SPJ2

can someone plz help with this? geometry:)

Answers

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

               

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16

John and his 5 friends will share 1 1/2 pizzas if they share the pizzas equally how much pizza will each person get

Answers

Answer:

5/4

Step-by-step explanation:

f(x) = (x + 1)2, g(x) = 2x3
One way to find (f º g)(x) when x = −2 is to start by composing f(g(x)).

Find f(g(x)).
4x6 + 1

4x9 + 1

4x6 + 4x3 + 1

4x9 + 4x6 + 1

Answers

The function (f º g)(x) is 4x⁶ + 1. Option A

What is a function?

A function can be defined as a law, rule or expression that shows the relationship between two variables in an equation.

These variables are called;

The independent variableThe dependent variable

From the information given, we have the function;

f(x) = (x + 1)² g(x) = 2x³

To determine the composite function, we have to substitute the value of g(x) as x in the function f(x), we have;

(f º g)(x) = (2x³ + 1)²

expand the bracket

(f º g)(x) = 4x⁶ + 1

Hence, the function is (f º g)(x) = 4x⁶ + 1

Learn more about functions here:

https://brainly.com/question/25638609

#SPJ1

Answer:

The first question is C: 4x^6 + 4x^3 + 1

The second question is: f(g(−2)) = 225

Step-by-step explanation:

Got it right on edg.

What is the length in centimeters of the hypotenuse of the right triangle below?
2 cm
8 cm

Answers

Answer:

Step-by-step explanation:

WASSUP

HELPPPPPPPPPPPP PLEASE

Answers

Answer: <B is congruent to <E

Step-by-step explanation:

There is no “angle,angle,angle” theorem when proving triangles are congruent.

There are 5 however that do:

ASA (angle, included side, angle)

SSS (side, side, side)

SAS (side, included angle, side)

AAS (angle,angle, non included side)

HL (hypotenuse,leg)

How many weeks is 36 days

Answers

Answer:

about 5 weeks

Step-by-step explanation:

divide 36 by 7

Answer:

5 weeks

Step-by-step explanation:

there is 5 weeks and some days

we know 7 days= 1 week

1 day =1/7 week

36 day= 1/7)*36

=5.14 weeks

..... hope you liked it.

Which is the equation of a line that passes through the point (-3, 5) with a slope
of -2/3

Answers

The slope is( -2,3) because you start at the origin and walk up and go over 2

What does m equal?please help me.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

===> -7 + 45m - 35 < 9m - 11

===> 45m - 42 < 9m - 11

===> 45m - 9m < -11 + 42

==> 36m < 31

==> m < 31/36

hence the value of m < 31/36

Answer:

m = 31/36

Step-by-step explanation:

Hope this helps you.

Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 1/4 and Nathan picked 3 3/4. How much more did Sarah pick than Nathan?

Answers

Answer: 1/2 buckets

Step-by-step explanation:

Sarah picked 4¹/₄ buckets of grapes and Nathan picked 3³/₄ buckets.

To find out how much Sarah picked more than Nathan, simply subtract Nathan's buckets from Sarah's.

First convert the fractions to improper fractions:

4¹/₄  = 17/4

3³/₄ = 15/4

As the have the same denominator, you can directly subtract them:

= 17/4 - 15/4

= 2/4

= 1/2 buckets

Help me it’s timed!!!

Answers

The answer is 8*5*5=200
Other Questions
A farmer sells 8.9 kilograms of pears and apples at the farmer's market. 1 4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market? Hi guys please help ????)::: In ATUV, the measure of V=90, TU = 24 feet, and VT = 15 feet. Find the measureof U to the nearest degree. Briefly explain how ONE example from the period 1880 to 1920 not explicitly mentioned in the excerpts could be used to support Wiebe's argument. Why did the Nazi Party gain popularity in Germany after WWII? How can Congress check the power of the Supreme Court?A)They can refuse to enforce their decisionB)They can propose a new amendmentC)They can appoint new justicesD)They can override the court's decision How did japan take part in the race for an empire Ode to the West Windby Percy Bysshe ShelleyO WILD West Wind, thou breath of Autumn's beingThou from whose unseen presence the leaves deadAre driven, like ghosts from an enchanter fleeing,Yellow, and black, and pale, and hectic red,5 Pestilence1-stricken multitudes!O thouWho chariotest to their dark wintry bedThe wingd seeds, where they lie cold and low,Each like a corpse within its grave, untilThine azure2 sister of the Spring shall blow10 Her clarion3 o'er the dreaming earth, and fill(Driving sweet buds like flocks to feed in air)With living hues and odours plain and hillWild Spirit, which art moving everywhereDestroyer and Preserverhear, O hear!15 Thou on whose stream, 'mid the steep sky's commotion,Loose clouds like earth's decaying leaves are shed,Shook from the tangled boughs of Heaven and Ocean,Angels of rain and lightning! they are spreadOn the blue surface of thine airy surge,20 Like the bright hair uplifted from the headOf some fierce Mnad,4 ev'n from the dim vergeOf the horizon to the zenith's heightThe locks of the approaching storm. Thou dirge5Of the dying year, to which this closing night25 Will be the dome of a vast sepulchre,6Vaulted with all thy congregated mightOf vapours, from whose solid atmosphereBlack rain, and fire, and hail will burst:O hear!Thou who didst waken from his summer-dreams30 The blue Mediterranean, where he lay,Lull'd by the coil of his crystalline streams,Beside a pumice7 isle in Bai's bay,And saw in sleep old palaces and towersQuivering within the wave's intenser day,35 All overgrown with azure moss, and flowersSo sweet, the sense faints picturing them! ThouFor whose path the Atlantic's level powersCleave themselves into chasms, while far belowThe sea-blooms and the oozy woods which wear40 The sapless foliage of the ocean, knowThy voice, and suddenly grow gray with fearAnd tremble and despoil themselves:O hear!If I were a dead leaf thou mightest bear;If I were a swift cloud to fly with thee;45 A wave to pant beneath thy power, and shareThe impulse of thy strength, only less freeThan thou, O uncontrollable!if evenI were as in my boyhood, and could beThe comrade of thy wanderings over heaven,50 As then, when to outstrip thy skiey speedScarce seem'd a vision,I would ne'er have strivenAs thus with thee in prayer in my sore need.O lift me as a wave, a leaf, a cloud!I fall upon the thorns of life! I bleed!55 A heavy weight of hours has chain'd and bow'dOne too like theetameless, and swift, and proud.Make me thy lyre, ev'n as the forest is:What if my leaves are falling like its own!The tumult of thy mighty harmonies60 Will take from both a deep autumnal tone,Sweet though in sadness. Be thou, Spirit fierce,My spirit! be thou me, impetuous one!Drive my dead thoughts over the universe,Like wither'd leaves, to quicken a new birth;65 And, by the incantation8 of this verse,Scatter, as from an unextinguish'd hearthAshes and sparks, my words among mankind!Be through my lips to unawaken'd earthThe trumpet of a prophecy! O Wind,70 If Winter comes, can Spring be far behind?________________1 Pestilence: a deadly infectious disease.2 azure: sky blue.3 clarion: clear, sharp sound.4 Maenad: a crazed worshipper of Dionysius, the Greek god of wine and revelry.5 dirge: a mournful song sung or played at funerals.6 sepulchre: ('sep-el-cur) tomb.7 pumice: volcanic rock.8 incantation: magic spell. Find the values of x and y. 31) Which best describes the different purposes of these two passages?The first passage is meant to inform readers aboutA) the new park, the second passage is meant to relateone personal reaction to the park.B)The first passage is meant to critique the creation ofan expensive new park, while the second passage ismeant to defend its construction,The first passage is meant to suggest improvementsfor the contents of the park, while the secondpassage is meant to argue for a new park to be built.The first passage is meant to entertain readers withdetails of one person's reaction to the park, while thesecond passage is meant to relate the facts of thepark's construction,D) How many molecules are in 13.2 L F2 Choose the best meaning for the word appalled:horrified, shockedwaste or garbagethe equal treatment of all peopleto pass quickly pleaseeeeeee helppppp meeeeeee What is the value of y?03040506 The span of one year is equal to...please Answer this correctly ~ The seven-member board that oversees the Federal Reserve System is the _____. Federal Reserve District Federal Open Market Committee (FOMC) Federal Advisory Council (FAC) Board of Governorsfor 20points Line AOB is a straight line. Select the correct answer. A skin specialist told Anna that if she wanted good skin, she should eat more foods that contain vitamin C. How does vitamin C keep skin healthy? . Vitamin C produces amino acids to help build collagen. OB. Vitamin C helps metabolize carbohydrates faster. OC. Vitamin C produces a coenzyme that helps produce collagen. OD. Vitamin C produces myelin. 1. In the fast change, how are other parts of the ecosystern affected? Please help! Will give Brainliest!View the art shown on the British Art of the First World War, The National WWI Museum and Memorial websites. Select two pieces of art, copy and paste them below, then in your own words write a paragraph response for each. Include the following information:* What is the picture depicting?* Which side does it favor?* How accurate is it and how would it affect the publics view of the war?Each response should have a minimum of 5 sentences and include the picture.