Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer 1

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer 2

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]


Related Questions

Adrián compró una bicicleta cuyo precio original es de 400.00 pesos pero al pagar en la caja le hicieron 20% de descuento cuánto pagó al niño para la bicicleta

Answers

Answer:

320 pesos

Step-by-step explanation:

Un 20% de descuento en formato decimal es 0.20. La totalidad de la bicicleta es representada como 100% o 1 y nosotros queremos saber el precio despues del descuento que seria

100% - 20% = 80% o 0.80

Ahora simplemente multiplicamos este decimal por el valor original de la bicicleta para saber el precio descontado...

400 * 0.80 = 320 pesos

I need help!!

Simplify this complex fraction

Answers

I think it is A :)))

The school has 330 students in 11 classrooms. What is the unit rate of
students per classroom? Explain how you got your answer.

Answers

This is a fraction equal to
330 Students ÷ 11 Classrooms

We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 11

330 Students ÷ 11
11 Classrooms ÷ 11
=
30 Students
1 Classroom
=
30 Students
Classroom
= 30 Students per Classroom

The answer is 11. Hope this helps

Please help me with this!!

Answers

Answer:
2 dollars each

Step-by-step :
Since 7 - 3 is 4
And 2 fries were bought then we have to divide 4 by 2 which equals 2. So 2 dollars were each small package of fries.

Sam is making a project out of wood. He needs a board that is 2 3/4 feet long. He has a board that is 3 1/8 feet long How much does Sam need to cut from the board for the project?

Answers

He needs to cut 3/8 off because 3 1/8-2 3/4=3/8.

At a sale, you purchased a $20 scarf for $15. What
was the percent of change?

Answers

The scarf was 25% off
20 - 15 = $5
20 divided by 5 = 4
So it was 1/4 off which equals 25%

Pls help due at 2:00

Answers

Answer:

1. $8.77

2. 498.456

Step-by-step explanation:

The answer is 35.09 hope I helped ;)

what is the degree of the expression below? x^2-3x+7

Answers

Answer:

2

Step-by-step explanation:

Identify the correct Triangle Congruence Theorem statement that describes the figure below.


Ο BAC & FED
O ABC & DEF
O ABC & DFE
О АСВ & DEF

Answers

the answer is ABC ≈ DEF

......................​

Answers

Hey again!

The answer to your question is 14.54 inches

We can find this by doing 1454/100, and that is 14.54.

Hope it helps, have a great day! Let me know if there's more to help with.

What is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c². In this case, c would be the hypothenuse or the longest side, which is 10. 8 can be either a or b.

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

a² = 36

a = √36

a = 6

So, x = 6.

Hope that helps.

What is the value of x?

Answers

The answer should be 70 degrees because the two angles add up to 180. 180-45 is 135. 135=2x -5, add 5 to both sides you get 140=2x and finally 140/2 is 70

Which Unit lengths represent the sides of a right triangle
A. 3,4 and 5
B. 6, 8 and 15
C. 20, 21 and 29
D. 9, 12 and 15

Answers

Answer:

A 3, 4 and 5

Step-by-step explanation:

The answer is A. 3,4, and 5

(3 + 81)(3 - 81) =
DONE
h

Answers

Answer:

-6552

Step-by-step explanation:

First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552

Answer:

(3 + 81)(3-81)=9-6561

Stepby-step explanation:

Write 57 divided 50 as a percentage

Answers

Answer:

87.72%

Step-by-step explanation:

What is the fraction (ratio) 50/57 as a percent value?

49/57 = ? ... 51/57 = ?

Detailed calculations below:

Introduction. Fractions

A fraction consists of two numbers and a fraction bar:

50/57

The number above the bar is the numerator: 50

The number below the bar is the denominator: 57

Divide the numerator by the denominator to get fraction's value:

Val = 50 ÷ 57

Introduction. Percent, p%

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

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100.

Calculate fraction's value.

Divide the numerator by the denominator to get fraction's value:

50/57 =

50 ÷ 57 ≈

0.87719298245614

Note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,

... and its value doesn't change.

Calculate the percent value:

0.87719298245614 =

0.87719298245614 × 100/100 =

(0.87719298245614 × 100)/100 =

87.719298245614/100 =

87.719298245614% ≈

87.72%;

In other words:

1) Calculate fraction's value.

2) Multiply that number by 100.

3) Add the percent sign % to it.

Answer:

:: written in two ways ::

Not rounded:

50/57 = 87.719298245614%

Rounded to maximum 2 decimals:

50/57 ≈ 87.72%

Signs: % percent, ÷ divide, × multiply, = equal, / fraction bar (division bar), ≈ approximately equal;

Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark;

More operations of this kind:

49/57 = ? ... 51/57 = ?

the answer to 57 divided 50 as a percentage is 87.72%

what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin ​

Answers

Answer:(-8,-4)

Step-by-step explanation:

Solve the following
system of equations:
5x – 2y = 4
x + 2y = 8

Answers

Answer:

x=2

y=3

Explanation

1. Solve x + 2y = 8 for x:

x + 2y = 8

x+2y + − 2y = 8 + −2y(Add -2y to both sides)

x = −2y + 8

2. Substitute −2y + 8 for "x" in 5x − 2y =4

5x − 2y = 4

5 (−2y + 8) − 2y =4

−12y + 40 = 4 (Simplify both sides of the equation)

−12y + 40 + −40 = 4 + −40(Add -40 to both sides)

−12y = −36 (Divide both sides by -12)

y = 3

3. Substitute 3 for "y" in x= −2y + 8

x = −2y + 8

x = (−2) (3) + 8

x = 2 (Simplify both sides of the equation)

Answer:

x = 2 and y = 3

marking people brainlist 7s-s=

Answers

Answer:

6s

Step-by-step explanation:

If you can, please leave an explanation so I can learn how to do it rathe than just copying

Answers

Answer:

Point-Slope: y+1=-5/7(x-5)

Slope Intercept: y=-5/7x+ 2 4/7

Standard: -5x+7y=18

Step-by-step explanation:

Slope: -5/7

Point slope is when the equation is in y-y1=m(x-x1) form.

I used the point (5,-1) but it really doesn't matter which one

Substitute it into (x1,y1)

y--1=-5/7(x-5)

y+1=-5/7(x-5) **2 minus signs is equal to 1 plus sign**

Slope-intercept is when the equation is in y=mx+b form.

y=-5/7x+b

To solve for b, plug in one of the points (again, I choose to use (5,-1)

(-1)=-5/7(5)+b

-1=-25/7+b is equal to asking -1=-3 4/7+b

b=2 4/7

Standard form is when it is in Ax+By=C

We'll covert from slope intercept to standard: y=-5/7+ 2 4/7

y=-5/7x+ 2 4/7 is the same as y=(-5/7x+ 18/7)

7y=5x+18 **Multiply both sides by 7, the common denominators**

-5x+7y=18 **Subtract 5x from both sides**

Sorry it took it while to get everything down but I hope this helps~

Alexander has pp pennies and nn nickels. He has a maximum of $0 worth of coins altogether. Write this situation as an inequality.

Answers

Answer:

p+5n≤0

Step-by-step explanation:

i just took it

CAN SOMEONE PLEASE HELP ME???

Answers

Answer:

m=2

Step-by-step explanation:

slope is the average rate of change in a specific interval

we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)

m=(y2-y1)/(x2-x1)

=(-1-7)/(-3-1)

=-8/-4

=2

good night all ✨

[tex]{\boxed{1.}} \: \tt 2x + 8 = 24[/tex]

[tex]{\boxed{2.}} \tt \: 6x = 12 - 6[/tex]

​must accompany "step by step"! :)

Answers

Answer:

28+8=24

61=12-6

Step-by-step explanation:

Subtract 8 from both sides of the equation.

2x+8=24

2x+8-8=24-8

Simplify

2x=16

Divide both side of the equation by the same term

2x/2 16/2

Simplify

x=8

Subtract the numbers

6x=12-6

6x=6

Divide both side of the equation by the same term

6x/6 6/6

Simplify

x=1

hope it helps took a long time to do lols

Answer:

Subtract 8 from both sides of the equation.

2x+8=24

2x+8-8=24-8

Simplify

2x=16

Divide both side of the equation by the same term

2x/2 16/2

Simplify

x=8

Step-by-step explanation:

Sorry I can't aNswer well

Marcus has 4 times the sum of 6 and the number of marbles David has let d represent the number of marbles David has write an algebraic expression to represent how many marbles Marcus has.

Answers

Answer:

4(6+d)

Step-by-step explanation:

find measure of angle 1

Answers

Just look at the top triangles
Angles in a triangle add up to 180°

To find the angle next to 36°:
It shows that all together its a 90° angle so you do 90-36= 54°

To find the angle next to 88°:
Angles on a straight line add up to 180° so you do 180-88= 92°

You now have the 2 of the angles in the triangle with angle 1

You now add these 2 angles so 54+92= 146°
and as angles in a triangle add up to 180° you do 180-146= 34°

So angle 1 is 34°

Rewrite the following expression in simplest radical form: (4x^2/3)^3 - (81x^5)^1/4​

Answers

Answer:

64x^2/3x^5/4

Step-by-step explanation:

(4x^2/3)^3 / (81x^5)^1/4​

4^3*x^2/3*3 / 3^4*1/4*x^5/4

64*x^2 / 3*x^5/4

Please help me!
Will mark brailest if you are right!!!

Answers

Answer:

f(x) = 3x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)

m = [tex]\frac{3-0}{1-0}[/tex] = 3 , then

y = 3x ← is the equation of the graphed line

find the slope from this graph

Answers

Answer:

m (slope) = 664

Step-by-step explanation:

Formula:

m (slope) = y1-y2/x1-x2

m = 16570 - 21226 / 1982 - 1986

= -4,656 / -4

= 664

so far two-thirds of the seniors bought prom tickets. if they need minimum of 250 people to attend in order to keep the venue, how many students must be in the senior class to ensure they sold enough tickets

Answers

Answer: 375

Step-by-step explanation:

2/3 of x= 250

250 x 3=750

750//=375

They need a minimum of 375 students in order to keep the venue,

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, So far two-thirds of the seniors bought prom tickets. if they need a minimum of 250 people to attend in order to keep the venue.

Assuming they need a minimum of x people.

∴ (2/3)x = 250.

2x = 750.

x = 375.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

What is 7 1/2% of 60?

Answers

Answer:

the answer is 4.5. hope this helps

You are throwing a party at an arcade. You recieve 5 tokens for every dollar spent. Create an equation that describes this situation. T is the total number of tokens and D is the number of dollars.

Answers

Answer: 5D = T

Step-by-step explanation:

A dollar spent will give 5 tokens.

The amount of dollars spent therefore will increase the number of tokens you by fivefold.

Formula is therefore:

5D = T

Testing it.

Assume you spent 5 dollars, how many tokens would you have:

5D = T

5 * 5 = 25 tokens

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