Write x/2 - 2x + 4/ x + 1 as a single fraction, in its simplest form.

Answers

Answer 1

Answer:

x²-3x - 8 2(x + 1)

Explanation

Find common denominator and write the nu merators above common denominator:

x(x + 1) − (2x + 4) × 2

2(x + 1)

Apply Multiplicative Distribution Law :

x² + x - 4x = 8

2(x + 1)

Reorder and gather like terms:

x² + (x − 4x) — 8

2(x + 1)

Collect coefficients for the like terms:

x² + (1-4) × x-8

2(x + 1)

Calculate the sum or difference:x²-3x -8

2(x + 1)

Answer:

x²-3x - 8

2(x + 1)


Related Questions

There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?

Answers

Answer:

27

Step-by-step explanation:

221-32=189189/7=27

What is the sum of 3/12 + 2/12

Answers

Answer:

5/12

Step-by-step explanation:

Zach goes on holiday. The ratio of the costsflights: hotels = 3 : 8. The cost of the flightsis $861. Workout the total cost of flightsand hotels.

Answers

total cost of the hotels is 2,296

Answer:

hahshdbdndjksosondndndud

cual es el reciproco de 3 1/5

Answers

Answer:

5/16

Step-by-step explanation:

Im guessing your asking for the recipricol of 3 1/5

Turn to improper fraction, 16/5

recipricol means to flip so it's 5/16

Pls someone help me!!

Answers

Answer:

116°

Step-by-step explanation:

Interior angles in a triangle are added up to 180°.

Therefore,

(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°

Now you can solve this equation and find the value of x.

[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]

[tex]14x+4+5x-1+2x+9=180[/tex]

[tex]14x+5x+2x+4-1+9=180[/tex]

[tex]21x+12=180[/tex]

[tex]21x=180-12[/tex]

[tex]21x=168[/tex]

[tex]\frac{21x}{21}= \frac{168}{21}[/tex]

[tex]x=8[/tex]

Now let's find the value of angle A

14x + 4

14 × 8 + 4

116°

so my math teacher made us do a review and I forgot how to do 8.90 x 15 bc when I do it's not in the multiple choices help​

Answers

Answer:

133.5

An easy way of doing this is to ignore the decimal so consider it as 89 instead because 0 is insignificant. So do 89x15 = 1335 we know that 8.90 has 1 decimal place because 0 is not significant so you just add 1 decimal place which becomes 133.5

The coordinates of the end points of TU are T(2,4) and U(11,13)

Answers

Answer:

[tex]T(2,4) and U(11,13)[/tex]

Step-by-step explanation:

if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?

Answers

Answer:

2.50

Step-by-step explanation:

If 4= $5.00

then divided 5.00 by 4=1.25

so 1 = 1.25

1.25x2=2.50

Therefore 2 tastykake snack cakes = $2.50

Answer:

The answer is 2.5

Step-by-step explanation:

5 divided by 4 = 1.25

1.25 times 2 = 2.5

brainliest :)

1) A covered hot cup of coffee will cool to the temperature of the room as governed by a physics principle known as Newton's Law of Cooling. The data from an experiment is shown in the table. If the room temperature is 73 degrees Fahrenheit, which statement is correct?A) The relationship could be linear with c ≈ 83oF.B) The relationship could be linear with c ≈ 63oF.C) The relationship could be exponential with c ≈ 83oF.D) The relationship could be exponential with c ≈ 63oF.

Answers

Answer:

f(t) = 80 + 120 e^(-0.08 t)

Step-by step explanation:

The exponent is negative, so this is an example of exponential decay.  As t increases, the exponent becomes more and more negative.  So e^(-0.08 t) gets closer and closer to 0.  Meaning f(t) gets closer and closer to 80.

Of the pies that Lorenzo's Pie Shop sold last month, 1/2 were blueberry pies and 2/5 were blackberry pies. What fraction of the pies sold were either blueberry or blackberry?

Answers

Assuming that blueberry blackberry combination pies aren’t a thing,

Then the answer is 9/10

This problem involves adding fractions with different denominators. For this type of problem you can change the value of the denominators in each fraction to equal the same thing. Since they are fractions, the overall value will not change if you multiply the numerator and denominator by the same number.
We add 1/2 of the blueberry and 2/5 of the blackberry this will give us 9/10.Firstly we found the LCM of their denominator which is 10,you divide the ten by the denominator of 1/2 which is 2 and multiply by the numerator which is 1,it will make 5 and we put the plus sign you repeat the same process with 2/5 which will give you 4.You then add 4+5 which will make 9 the numerator and 10 as the denominator.

Mark me as brainliest plsssss
Hope I help

Which graph shows a set of ordered pairs that represents a function?

Answers

Answer:

1

2

3

4

5 6 7 8 9

6

7

8

9

Step-by-step explanation:

thats how you do it : ))))

Help please I really don’t understand due in 2 days

Answers

Answer:

-3 ≤ x < 2

Step-by-step explanation:

3x4y=-2
9x-10y=38
elimnation method

Answers

Answer:

x = 2

y = -2

Step-by-step explanation:

N.B. Assuming the first equation is actually 3x + 4y = -2

The elimination method is an incredibly useful tool used to save large amounts of time when working with small systems of equations.

First, set one variable in the top equation to have an equal coefficient as that same variable in the bottom equation.

3(3x + 4y) = 3(-2)

Then, you are left with this.  Simply subtract the equations.

9x + 12y = -6

9x - 10y = 38

0  + 22y = -44

Then, simply solve

y = -2

9x + 20 = 38

9x = 18

x = 2

Hope it helps :) and let me know if you want me to elaborate.

Help me guys, please and thank u

Answers

Answer:

¡¡ Only

Step-by-step explanation:

-8-2x < - 4

-2x < - 4+8

-2x < 4

x > - 2

During a day a student spends 7 hours sleeping ¼ of the day studying and 1/12 of the time travelling what fraction of the day is left for other things (in fraction)

Answers

There is 24 hours in a day.

Spending 7 hours sleeping means you have 7 hours less for other things.
24 - 7 = 17

1/4 of the day is basically saying 1/4 of 24 hours, which is 6 hours.
17 - 6 = 11

1/12 of the day is basically saying 1/12 of 24 hours, which is 2 hours.
11 - 2 = 9

You have 9 hours of the day left, in fraction form being:

3/8 of the day left

At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Monday, 129 tickets were sold for a total sales of $1071.00. How many adult tickets were sold that day?

Answers

129 tickets = $1071
1071/129 = 8.30
75 adult tickets + 54 child’s tickets = $1071 so 75 adult tickets were sold that day

Heyyyyyy , Can you please help me with this

Answers

Answer:

19 houses

Step-by-step explanation:

90*(2/5)=36

90-36=54

54*(2/3)=37

54-37=19

Solve pls brainliest

Answers

Answer:

$180

Step-by-step explanation:

simple interest means that interest is paid every year on the original $200

To find 3% of 200, you multiply 200(.03) = $80.

$200(3)=$60

Since the interest is the same, 3(60) = $180

Hope this helps

For what value of P, the binary number 1910, represents 14? ​

Answers

Answer:

1110

Step-by-step explanation:

14 in binary is 1110

Explain how to use a model to represent the division of two fractions.
Please help with this it's due in 20 mins!

Answers

Answer:

You can use the model to show the fractions alongside each other.

Step-by-step explanation:

If my dad drives at a rate of 120 miles every 2 hours, how many miles will he drive in 12 hours? A 720 miles B 320 miles C 120 miles D 600 miles. please help me....

Answers

Answer:

A: 720 miles

Step-by-step explanation:

Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2

1 hour he will have driven 60 miles

Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours

What is the approximate area of a circle with a diameter of 10in

Answers

Answer:

A≈78.54in²

Step-by-step explanation:

Can I have brainliest pls?

Can anyone help me? asap if possible

Answers

Answer:

B) CD

Step-by-step explanation:

Perpendicular means a line that bisects the other at 90°.

In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.

In this case, B) CD is your answer, as it is the only one that shows up (AB does not).

~

Answer:

segment CD

Step-by-step explanation:

Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.

Hope it help and if it its correct please give brainliest  

Stay Safe and healthy

Thank You

Will give brainliest no files plz

Answers

Answer:

x=3 and y= 4 / 3 (Fraction)

Step-by-step explanation:

Substitute x for 6y-5.

2(6y−5)−3y=2

Add 6y and 3y, and multiply 5 by 2/Simplify the equation.

9y−10=2

Add  10 to both sides, and then divide each side by 9.

9y−10+10=2+10

9y / 9 = 12 / 9

y = 4/3.

Repeat the process but replace y with 4/3!

Answer:

x=3

y= 4/3

Step-by-step explanation:

2(6y-5)-3y=2

y= 4/3

x=6x 4/3-5

x=3

Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -​

Answers

Given info:- X = √(4-√7) and Y = √(4+√7)

Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?

Explanation:-

Given that:

X = √(4-√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ X = √[2{(4-√7)}/2]

⇛ X =√[(8-2√7)/2]

⇛ X =√[{(7+1)-2√7{/2]

⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]

It is in the form of a²-2ab+b²

Where , a = √7 and b = √1

⇛X = √[{(√7-√1)}²/2] [(a-b)² = a²-2ab+b²]

⇛ X = (√7-√1)/√2

⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)

and

Y = √(4+√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ Y = √[{2(4+√7)}/2]

⇛ Y =√[(8+2√7)/2]

⇛ Y =√[{(7+1)+2√7}/2]

⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]

It is in the form of a²+2ab+b²

Where , a = √7 and b = √1

⇛Y = √[{(√7+√1)}²/2] [(a+b)² = a²+2ab+b²]

⇛ Y = (√7+√1)/√2

⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)

On adding Eqⁿ (1) & Eqⁿ(2)

→ X+Y = (√7-1)/√2+(√7+1)/√2

→ X+Y = (√7-1+√7+1)/√2

→ X+Y = (2√7 )/√2

→ X+Y = (√2×√2×√7)/√2

→ X+Y = √2×√7

→ X+Y = √14 — — — — Eqⁿ(3)

On Subtracting Eqⁿ(2) from Eqⁿ(1)

→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]

→ X-Y =[ (√7-1 )-(√7+1)]/√2

→ X-Y = (√7-1-√7-1)/√2

→ X-Y = (-1-1)/√2

→ X-Y = -2/√2

→ X-Y = -(√2×√2)/√2

→ X-Y = -√2 — — — — Eqⁿ(4)

On multiplying Eqⁿ(1)& Eqⁿ(2)

→ XY = [(√7-1)/√2][(√7+1)/√2]

→ XY = (√7-1)×(√7+1)/(√2×√2)

→ XY = [(√7)²-(1)²]/(2) [(a+b)(a-b) = a²-b²]

→ XY = (7-1)/2

→ XY = 6/2

→ XY = 3 — — — — — Eqⁿ(5)

Now,

The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²

It can be written as

⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²

From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)

⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²

⇛ (2/3) + (9×14)+(14)

⇛ (2/3)+(126)+(14)

⇛ (2/3)+140

⇛ [2+(3×140)]/3

⇛(2+420)/3

⇛ 422/3

Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.

If you have any doubt, then you can ask me in the comments.

9. The area of a rectangular fence is 300 square feet. If the width of the
fence is 15 feet, then find its length.

Answers

Answer:

20 feet

Step-by-step explanation:

The area formula is lw=A, where l is the length, w is the width, and A is the area. So, plug in the known variables. This creates the equation l15=300. Then, solve for l by dividing both sides by 15. Therefore, l=20. You can check your answer by plugging in all of the variables to create the equation 20*15=300. This is a true statement, thus 20 feet must be the correct length.

Given that XY is a line segment with the angle a = 51°, work out the value of
the angle marked b.
Y
b
a
X
The diagram is not drawn to scale.
ASP PLZ

Answers

Answer:

129º

Step-by-step explanation:

This is just a guess since you didn't include the diagram

b is supplemetary to a

therefor

b = 180 - a

b = 180 - 51

b = 129º

It would be 129 degrees

PLEASE HELP (especially on B)

Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?
B) What percentage of the total price did Tom save?

Answers

He saved 10.59 bucks

I am exhausted could someone pls help me 3(-2+-8+9)divided by 4

Answers

Answer: you can use a calculator, -0.75

Step-by-step explanation:

-2+-8+9

The + and - make a - so you can simplify to

-2-8+9

-1x3

-3/4

PLEASE HELP

Which of the equations below contains the two points listed? (5,9) (6,9) A x=-9 B x=9 C y=-9 D y=9

Answers

Answer: y=9

Step-by-step explanation:

both points have 9 as the y coordinate

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