Express [tex]\frac{x}{x+2} +\frac{2x}{x-4}[/tex]as a single fraction in its simplest form.

Answers

Answer 1

Answer:

[tex]\frac{3x^2}{(x+2)(x-4)}[/tex]

Step-by-step explanation:

Before adding the fractions we require them to have a common denominator.

Multiply numerator/ denominator of first fraction by x - 4

Multiply numerator/ denominator of second fraction by x + 2

= [tex]\frac{x(x-4)}{(x+2)(x-4)}[/tex] + [tex]\frac{2x(x+2)}{(x+2)(x-4)}[/tex] ← expand and simplify numerators, leaving common denominator

= [tex]\frac{x^2-4x+2x^2+4x}{(x+2)(x-4)}[/tex]

= [tex]\frac{3x^2}{(x+2)(x-4)}[/tex]


Related Questions

4x-7 < 5
Pls solve (liniear inequality)

Answers

Answer:

x<3

Step-by-step explanation:

4x<12

x<3

Need help please!!! Its due in 15 minutes :(

Answers

Answer:

y=-2x+b

Step-by-step explanation:

The slope ("m") is 2... rise over run, the line goes up two, and then to the side once, which is 2/1 (aka 2). Since the line is going downhill, it is negative.

A batch of cookies was being sold at a bake sale. 25% of the cookies contained traces of tree nuts. All 60 cookies were eventually sold. How many contained traces of tree nut? QUICK

Answers

Answer:

15

Step-by-step explanation:

There were 60 cookies. 25 or 1/4 or 0.25 of them had tree nuts. 25% or 1/4 or 0.25 times 60 = 15.

Hope this helped! If it did, please mark it as brainliest! It would help a lot! Thanks! :D

Cup o' Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?

Answers

Answer:

47% po

Step-by-step explanation:

sana makatulong po

pls help pls pls pls

Answers

Answer:

Hope that answers your question, good luck in the future

Math

Find all the possible values of X

|x|= 5

Please be serouse

Answers

That means that x can equal both 5 and -5
It’s only 5 because it’s the absolute value

first come first served brainiest

Answers

Answer:

1.) A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

2.) 8

3.) 201 square inches

Step-by-step explanation:

80 kg= ______ g

what goes in the blank?
and how do I show my work?

correct=brainliest?

Answers

Answer:

80000

Step-by-step explanation:

u times 80 by 1000

9x^2-9x-18=0 so what will be ans​

Answers

Answer:

9x^2-9x-18=0

9x+2=11x-9x-18=0

9x+2=21x-18=0

9x+2=3x-3^=0

Answer:

Step-by-step explanation:

Formula

[tex]\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]

Givens

a = 9

b = - 9

c = -18

Solution

[tex]\frac{- (-9) +/- \sqrt{(-9)^2 - 4*9*(-18)} }{2*9}\\\\\frac{9 +/- \sqrt{81 + 4*9*18} }{18} \\\\\frac{9 +/- \sqrt{ 81 + 288} }{18}\\\\[/tex]

9 +/- √369

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

      18

9 +/- 3*√41

==========

      18

x = 9 +/- 19.209

     =========

        18

x = 1.567

or

x = -.567

Josie is making pizza dough. Complete the double number line by filling in the missing values

Answers

Answer:

[tex]n = \frac{4}{3}c[/tex]

[tex]c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the double number line

The given double number lines represent a linear function between cups of flour (c) and number of batched (n)

Pick any two pairs:

[tex](c_1,n_1) = (\frac{3}{4},1)[/tex]

[tex](c_2,n_2) = (3\frac{3}{4},5)[/tex]

First, calculate the rate of change (i.e. slope, m):

[tex]m = \frac{n_2 - n_1}{c_2 - c_1}[/tex]

[tex]m = \frac{5-1}{3\frac{3}{4} - \frac{3}{4}}[/tex]

[tex]m = \frac{4}{3}[/tex]

So: the equation is:

[tex]n = m(c - c_1) + n_1[/tex]

This gives:

[tex]n = \frac{4}{3}(c - \frac{3}{4}) + 1[/tex]

[tex]n = \frac{4}{3}c - 1 + 1[/tex]

[tex]n = \frac{4}{3}c[/tex]

So, the above represents the relationship between n and c.

To complete the table

When [tex]n = 2[/tex]

Substitute [tex]n = 2[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]2 = \frac{4}{3}c[/tex]

Make c the subject

[tex]c = \frac{3*2}{4}[/tex]

[tex]c = \frac{3}{2}[/tex]

When [tex]n = 3[/tex]

Substitute [tex]n = 3[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]3 = \frac{4}{3} * c[/tex]

Make c the subject

[tex]c = \frac{3*3}{4}[/tex]

[tex]c = \frac{9}{4}[/tex]

When [tex]c=3[/tex]

Substitute [tex]c=3[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]n = \frac{4}{3} * 3[/tex]

[tex]n = 4[/tex]

So, the complete table is:

[tex]c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5[/tex]

What does the image show?
(The whole thing, not just the points)
ns
a ray
O O
a line
eys
a line segment
a point
>

Answers

Answer:

This line is aray because it has a beginning and it has no end

Kayla has 30 roses and 45 daisies. She wants all bouquets to have the same number of roses and daisies. What is the largest number of arrangements that she can make?

Answers

she needs to buy 3 sets of roses and 2 sets of daises

Find an angle θ θ coterminal to − 2 2 ∘ −22 ∘ , where 0 ∘ ≤ θ < 36 0 ∘ 0 ∘ ≤θ<360 ∘ .

Answers

Answer:

your question is poorly written below is the properly written question

Find a coterminal Angle with measure θ  ( -22° ) such that  0° ≤ θ < 360°

answer: 338°

Step-by-step explanation:

To find a coterminal angle of a given angle that falls between 0° and 360° we have to express the angle in terms of 360°

Hence express  -22° in terms of 360°

-22°  = -360° + 338°

hence the coterminal angle = 338°

help? please and thank you hehe

Answers

Answer:

RT i think

Step-by-step explanation:

Answer:

C. RT would be the correct choice.

10 grade geometry, help me pleaseeeee

Answers

Answer:

Obtuse

Step-by-step explanation:

[tex]10^{2} > 3^{2} + 9^{2}[/tex]

6x-2y+8=0
y=-3x-1
are these lines parallel, perpendicular, or neither?​

Answers

Answer:

Neither; they are not parallel, nor perpendicular.

[tex](\frac{1}{8} + 2a)^{2}[/tex]

Answers

Answer:

1/64+2*1/8*2a+4a^2= 1/64+a/2+4a^2

Step-by-step explanation:

Find the value x such that the data set has the given mean.
101,119,104,111,109,x mean 113
X=?

Answers

Answer:

x = 134

Step-by-step explanation:

The mean of a data set is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Here mean = 113, then

[tex]\frac{101+119+104+111+109+x}{6}[/tex] = 113

[tex]\frac{544+x}{6}[/tex] = 113 ( multiply both sides by 6 )

544 + x = 678 ( subtract 544 from both sides )

x = 134

Find the difference: (-3.4x+4.7)-(3+2.9x)

Answers

Answer:

-6.3x + 1.7

Step-by-step explanation:

(-3.4x +4.7) - (3 +2.9x)

distrubute the negitive sign

-3.4 +4.7 -3 -2.9x

combine like terms

-6.3x + 4.7-3

-6.3x +1.7

+ Scratchpad

A ramp has a height of five feet and a horizontal distance of 200 ft. What is the angle of elevation?

A 16

(6) 5.5°

(C 25.1°

D

1.4°

€ 2.3°

Answers

Answer:

1.4°

Step-by-step explanation:

Given that :

Height of ramp, h = 5 feets

Horizontal distance = 200 feets

The angle of elevation :

Using trigonometry :

Tanθ = opposite / Adjacent

Tan θ = 5 / 200

Tan θ = 0.025

θ = tan^-1 (0.025) = 1.43

θ = 1.4°

Independent practice question 8=-12+5y

Answers

y= 4

Have a great day :)

Answer:

y=4

Step-by-step explanation:

Which statement is true?


A.Rates are always ratios.


B.Ratios are always rates.

Answers

Answer:

THE RATES ARE ALWAYS RATIOS.

Help this is due soon

Answers

Step-by-step explanation:

22x13, 10x9, then both answers from the previous equations multiplied. Any questions?

what is the common difference, d, of the sequence?

Answers

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Brainlist maybe?

Please help me I really don’t know

Answers

Answer:

acute-angled

Step-by-step explanation:

It doesn't have a right angle and one of its corners isn't for than 90 degrees

1000 in scientific notation.

Answers

Answer:

1 x 10^3

Step-by-step explanation:

The difference of a number and 4 is no more than 8

Can someone help!?

Answers

Considering the definition of an inequality, the number must be less than 12.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that the difference of a number and 4 is no more than 8.

Being "x" the number you want to know, and considering that the difference is the difference between two numbers or expressions, the inequality that expresses the previous relationship is

x - 4 < 8

Solving:

x < 8 +4

x < 12

Finally, the number must be less than 12.

Learn more about inequality:

https://brainly.com/question/17578702

https://brainly.com/question/25275758

https://brainly.com/question/14361489

https://brainly.com/question/1462764

i give brainly to right answer

Answers

50
——
28 or 25
——
14 is the answer simplified

Answer:

It is 50/28 but simplified is 25/14, correct answer...

Farmer Rew started with 92 quects on his farm. Every month, he
bought 5 more of them. Farmer Joogh started with 27 quects on her
farm. Every month, she purchased 9 more of them.

farmer's quects (y) as months (x) increase.

Answers

Answer:

y = 5x + 92

y = 9x + 27

Step-by-step explanation:

Slope intercept form is written as y = mx + b, and you know that y represents "quects" and x represents months.

For farmer Rew, b would be 92 because that is how many "quects" he started off with. m would be 5 because that is how many new "quects" he gets every month. (y = 5x + 92)

For farmer Joogh, b would be 27 because she started off with 27 "quects." m would be 9 because she gets 9 new "quects" every month. (y = 9x + 27)

Help me with with this please

Answers

Answer: (4.5 , 6.5)

-11 + 20 / 2 = 4.5

14 + (-1) / 2 = 6.5

Other Questions
- For English class, George must read 168 pages in 7 days. What is the unit rate ofpages to days? which body develops independence rules that apply to engagements performed under gagas? What was unique about the armed forces in the Korean Conflict?A. It was the first time troops had gone to Asia.B. It was the shortest war in history.C. They never lost a battle.D. The military units were integrated. .What type of noun is the oppressionThe movie was about the oppression suffered in Rwanda. Find the volume of the cylinder.Either enter an exact answer in terms of or use 3.14 for T. Can someone please solve this for me? 107 + 12Show your work and I'll give brianliest (I know the answer i just need someone to show their work on how to get it) There is a sale on sneakers. The price tag says $150. There is a 25% off sale. What is the final price with the discount? USE AN EXPRESSION.Expression: ___________________Answer:_______________________ how are Native Americans impacted by the westward movement of American settlers? A) They are joining the settlers in making new communities. B) They are being enslaved by the settlers. C) They are fleeing from the settlers. In Reggae music, strumming the guitar beginning from the high strings to the low is called:A.) dead picking B.) open strummingC.) sideways picking D.) open picking f+1/7=5? What is does the f stand for . Also explain. Digital Prosper, a web services firm, has experienced a 7 percent decline in revenues in consecutive quarters. In an effort to reduce operating costs, managers reduced the customer service staff from 12 employees to 6. Management also enlisted the remaining employees to help produce a new company vision: to give customers of all budgets a customizable, stress-free web hosting experience. What is wrong with this scenario Conner is worried because his grades are slipping and his mother recently lost her job. Sometimes this can lead to depression. Which would b best strategy for supporting his mental health? A. Get the help of a psychologist to explore why his grades might be slipping and strategies for managing the events in his life. B. Get the help of a psychiatrist to determine which prescribed drug would help him perform better at school. See a family physician for a checkup and determine if a course of medical treatment will help him. Oc. If y= 12x + 7 were changed to y = 12x + 2, how would the graph of the newfunction compare with the original?A. It would be less steep.B. It would be steeper.C. It would be shifted down.D. It would be shifted up. If FX) = 3x+6, which of the following is the inverse of Fx)?A. F1(x) = 6 - 3xB. F1(x) = 3x - 6C. F'(x) = x - 6 / 3D. F'(x) = x - 3 / 6 See the picture down below for the question! 18 degrees19 degrees66 degrees77 degrees Tanisha scored 31 out of 35 points on a recent math quiz. The percent that Tanisha answeredcorrectly is closest to1) 86%2) 89%3)91%4)93% charlie's puppy max weighs 10 pounds. How many ounces does Max weigh? What is DNA responsible for?o creating nucleic acid for all living thingso transmitting the genetic code of all living thingsO building atoms that make moleculesO processing the special bonds of molecules In a small group, the ratio of club members to non-members is 6 to 5. What is the ratio of non-members to the total group size?A. 6 to 5OB. 5 to 6C. 11 to 5D. 6 to 11O E. 5 to 11 Solve the system of equations by substitution.3x+2y=10 y=3x-4x= y=