Subtract the rational expression

Please show steps

Subtract The Rational Expression Please Show Steps

Answers

Answer 1

Answer: [tex]-x^2-3x+46/x^2+4x-32[/tex]

Step-by-step explanation:

Answer 2

Answer:

  [tex]\dfrac{-x^2-3x+46}{x^2+4x-32}[/tex]

Step-by-step explanation:

You want the simplified form of the rational expression difference ...

  [tex]\dfrac{6}{x^2+4x-32}-\dfrac{x-5}{x-4}[/tex]

Common denominator

Both terms can be expressed using the same denominator, then summed.

  [tex]\dfrac{6}{x^2+4x-32}-\dfrac{x-5}{x-4}=\dfrac{6}{(x-4)(x+8)}-\dfrac{(x-5)(x+8)}{(x-4)(x+8)}\\\\\\=\dfrac{6-(x-5)(x+8)}{(x-4)(x+8)}=\dfrac{6-(x^2+3x-40)}{(x-4)(x+8)}=\boxed{\dfrac{-x^2-3x+46}{x^2+4x-32}}[/tex]

__

Additional comment

The process is fundamentally identical to finding the difference of numerical fractions. The least common denominator is found by considering factors of the denominators, just as it would be if they were pure numbers.

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Related Questions

last one 30 points answer C

Answers

52 and 5/8 plus 16 and 1/2 would be 69 and 1/8 then multiply that by 2 the answer would be 138.25 feet

find the difference between on a number line A (–3, –8) B (5, 6)

Answers

2, -2 is the answer and to solve is by subtracting x-x, and y-y = (x,y)
2,-2 is the answer and to solve its by subtracting x-x and y-y= (x,y)

What is the value of x given the following image?

Answers

The answer is 61 degrees, set 180 = (x+5)+(2(x-4)

distribute: (x+5) + (2x-8) = 3x-3 = 180

180+3 = 183/3 = 61 degrees

Help! P l e a s e
Explain why using an equation for #3-4 is necessary to get your answer but not in #1.
Which equation best represents how an employee's money earned, e, relates to his hours worked, h?

A) e = 200h + 15

B) e = h + 100

C) e = 13h + 100

D) e = 200h + 100
4
1
message
If an employee worked 60 hours in a week, how much money should he have earned? Use the equation to show you work.
If an employee earned $400, use the line of best fit to predict how many hours he worked.

A) 17 hours

B) 20 hours

C) 23 hours

D) 25 hours

Answers

C) e =13h +100 is the correct answer

Then use f(x)= 5x+13

Choose a number between 1-10 and use that for your x value then SOLVE.

Answers

We will choose x=2

Plug in x=2 as the input:
f(2)=5(2)+13

Use PEMDAS to simplify:
f(2)=10+13

f(2)=23
The answer to your question is. F(2)=23

PLEASE HELP ME !!!!!

Answers

Answer:

x = 50°

Step-by-step explanation:

The sum of angles on a line is equal to 180°.

Therefore,

x + 130° = 180°

x = 50°

Answer:

answer is 50 u add x plus 130 equals to 180

The back of Nico's truck is 7.5 feet long, 4 feet wide, and 8 feet tall He has several boxes of Important papers that he needs to move. Each box of papers is shaped like a cube measuring 2.5 feet on each side. How many boxes of papers can Nico pack into the back of his truck? Show your work and pls the equation on how you found the answer​

Answers

Answer:

15 boxes of paper

Step-by-step explanation:

The total area of the back of Nico's truck is 240ft³ (7.5 x 4 x 8)A box is a 3-dimensional shape. With each side (length, width, and height) being 2.5ft, one box will take up approximately 15.625ft³. (2.5 x 2.5 x 2.5)By taking the total area of Nico's truck (240ft³) and dividing it by the approximate size of each box (15.625ft³), 15.36, or 15 boxes will be able to fit.

Hope this helps!

Answer:

15 boxes of paper

Step-by-step explanation:

Hope this help '<'

pls hurry on the bottom i9s what web its on pls pls hurry

Answers

The answer is A, as it is 3 over on the x axis and 12 up on the y
The answer to ur question will be A

A school is preparing for a trip. One adult is needed to look after each of six children.
One coach has 42 seats. 162 children have paid for the trip.
How many coaches will be needed?

Answers

Answer:

27 coaches, 162 divided by 6 equals 27.

Answer: 27 coaches
162 divided 6 = 27

-94%, -8/9, -925, -9/10
DIRECTIONS: list the values of the ascending order
please help DUE TODAY

Answers

Answer:

I think it's -94%, -8/9, -9/10, -925

Using the equation 5 divided by 1/4 as an example, describe how to solve a fraction division problem using reciprocals.

Answers

Hey there!

First, let's solve this problem.

We have

5×1/4

First, let's write 5 as a fraction:

[tex]\bold{\displaystyle\frac{5}{1} }[/tex]

Now, divide:

[tex]\bold{\displaystyle\frac{5}{1} :\frac{1}4}[/tex]

Flop the second fraction over:

[tex]\bold{\displaystyle\frac{5}{1} :\frac{4}{1} }[/tex]

And now multiply the first fraction times the second one:

[tex]\bold{20}[/tex]

Now, how to solve fraction problems using reciprocals?

We use reciprocals when dividing fractions.

What is a Reciprocal?

It's simply a number flopped over (like 1/4 is the reciprocal of 4 (4/1)

How to Divide Fractions?

Simply multiply the first fraction times the reciprocal of the second one.

Basically, dividing by 1/2 is the same as multiplying times 2 (or 2/1, which is the exact same thing)

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{250}{2}[/tex]

5 divided by 1/4 is 20.

What is multiplication?

A mathematical arithmetic operation is a multiplication. Moreover, it is the practice of repeatedly adding the same expression kinds.

Example: 2 + 3 means that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

Given:

A phrase: 5 divided by 1/4.

To solve a fraction division problem using reciprocals:

Let n be the required value of the quotient.

n = 5 ÷ 1/4

n = [tex]\frac{5}{1/4}[/tex]

To convert the division to multiplication:

Reverse the number in the denominator,

n = 5 x 4/1

n = 20

Therefore, the value of the quotient is 20.

To learn more about multiplication;

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In triangle TUV, ∠UVW is an exterior angle. What is m∠T?

Answers

53 degrees because the angles of a triangle add up to 180

Answer:

53 is the answer.

Step-by-step explanation:

It is the answer because the opposite interior angles should equal the exterior angle when you add them up and 34 plus 53 equals 87.

3. The math question is in the picture?

Answers

Step-by-step explanation:

The ratio of number of pages to time is given by the slope of the straight line,

The slope is defined by

[tex] \frac{y - y}{x - x} = \frac{10 - 0}{15 - 0} = \frac{10}{15} = \frac{2}{3} = 0.667[/tex]

Use any two point from the graph,

(0,0) & (15,10)

He reads about 0.667 pages/min

The solution to 50 m + 500 = 70 m is m = 25

What does this solution mean?

Answers

Answer:

this solution means that 50x25 + 500 is the equal to 70x25

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

A circle has a diameter from (8,2) to (0,2) find the coordinates of the center of the circle and find the area. Use 3.14 as pi.

Answers

Answer:

Area: 50.24 square units

Center: 4,2

Step-by-step explanation:

The midpoint can be found using [tex]\frac{a+b}{2}[/tex] for both x and y

(8+0)/2=4

(2+2)/2

We have our center, so let's move on.

The area of a circle is the radius squared multiplied by pi.

Since the diameter is 8, the radius is 4.

4*4=16  

16*3.14=50.24

pleaseeeeeeeeeeeeeeeeeeeeeeee helpppppppppppppppppppppp

Answers

Some ways citizens can participate in the government is by voting for leaders within the Government and running for positions in the government.

Answer:

Citizens can participate in government by voting, creating or participating in campaigns, maybe by running for office or helping others to do so, speaking out community concerns to local government authorities, and even just by talking about politics and government to educate themselves and others in the community.

Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total

Part A

Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.​

Answers

They get less sub because a larger piece is being split between multiple people causing the the pieces to be smaller in order to be equally split

The amount that each person would get after the sub is divided in 5 people equally is lesser than the amount of sub that they were getting when there were 4 people.

How to interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b = a[/tex] divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )

Firstly the sub was divided in 4 parts,

and when 5 people came, so it was  decided to share the sub in 5 equal parts.

The more we increase the number in which the considered thing (here sub) is to be divided, the lesser each part would be.

Let the sub is measured as 'a' units.

Case 1: Previously when 4 people were there:

Each person would get: [tex]\dfrac{a}{4}[/tex]

Case 2: When there got 5 people:

Each person would get: [tex]\dfrac{a}{5}[/tex]

We know that:

[tex]4 < 5[/tex]

Multiply both the sides by 'a', assuming 'a' is positive, we get:
[tex]4a < 5a[/tex]

Divide both the sides by 20:

[tex]\dfrac{4a}{20} < \dfrac{5a}{20}\\\\\dfrac{a}{5} < \dfrac{a}{4}[/tex]

Thus, the amount that each person would get after the sub is divided in 5 people equally is lesser than the amount of sub that they were getting when there were 4 people.

Learn more about division here:

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Draw a number line to represent the inequality x > 4.

Answers

i believe the answer is c too! sorry if it’s wrong!

One kilometer is 1000 meters. 1 meter equals how many kilometers?

Answers

Answer:

A meter, or metre, is the fundamental unit of length in the metric system, from which all other length units are based. It is equal to 100 centimeters, 1/1000th of a kilometer, or about 39.37 inches. A kilometer, or kilometre, is a unit of length equal to 1,000 meters, or about 0.621 miles

Step-by-step explanation:

Answer:

0.001

Step-by-step explanation:

Bc you are dividing by 1000

WILL GIVE BRAINLIEST Pls answer Fast!!!

What are all the names that could be used to describe the figure below?


A. polygon, quadrilateral, rectangle, square, rhombus, trapezoid

B. polygon, quadrilateral, parallelogram, rectangle, square, trapezoid

C. polygon, quadrilateral, parallelogram, square, rhombus, trapezoid

D. polygon, quadrilateral, parallelogram, rectangle, square, rhombus

Answers

Answer:

D

Step-by-step explanation:

it was correct on the test

The figure is represented as a polygon, quadrilateral, parallelogram, rectangle, square, rhombus

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the figure be represented as A

Now , the value of A is

A polygon is a closed 2-dimensional shape made up of straight lines.

A quadrilateral is a polygon with four sides.

A parallelogram is a quadrilateral with opposite sides parallel.

A rectangle is a parallelogram with four right angles.

A square is a rectangle with four congruent sides.

A rhombus is a parallelogram with four congruent sides

Hence , the figure is solved

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At a restaurant, Trevor decides to tip the server 16% of the bill. If he leaves a $4.00 tip, which proportion could be used to find how much the bill was for?

16/100 = x/4

16/100 = 4/x

4/100 = x/16

4/100 = 16/x

Answers

The answer is: 16/100 =4/x

16 divided by 100 is 0.16

And 4x4 is 16

x is the varible of how much so it goes 4/x

So your answer is 16/100 =4/x

Hope this helps.

Mark brainliest

Answer:

5x

Step-by-step explanation:

A straight line is represented by the equation y equals 1/5 x.
What is why when x equals 20?

Answers

Answer:

The answer is 4

Step-by-step explanation:

1/5 * 20 = 20/5 = 4

Answer:

y = 4

Step-by-step explanation:

A straight line is represented by the equation y equals 1/5 x.

What is y when x equals 20?

y = 1/5x

y = 1/5(20)

y = 4

(20, 4)

Hope this helps!

HELP
the question is with the picture .

Answers

Answer:

Angle one equals 24 degrees

Step-by-step explanation:

Answer:

your answer is 24

Step-by-step explanation:

angle WXZ = 96

and angle 2 is 3 times angle 1

so angle 2 can be written as 3angle 1

finally, 3angle 1 + angle 1 = 96

so, angle 1 = 96/4 = 24

Please help me, question & answer Choices are below

Answers

Answer: the second option

Step-by-step explanation:

how oi do ths qustion

Answers

Graph and make a table
graft and make a table

A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error.
($30.65)(0.60)=$18.39

Answers

Answer:

He forgot to subtract 18.39 from 30.65. The answer should have been $12.26

Step-by-step explanation:

($30.65)(0.60)= $18.39

$30.65-$18.39= $12.26

Since it was marked down you have to subtract the discount price (18.39) from the actual price (30.65).

Answer: he forgot to do the step I explained below

Step-by-step explanation: 60% off 30.65 is 18.39$ of discount so the final price would be 12.26 so he figured Out the amount discounted but didn’t subtract it from 30.65

i got A i dont know i its right tho PLEASEE HELP!!!

Answers

The answer is B- 25%

79 represents Q1 and 84 represents median, making it 25%
The answer is 25% meaning B

a boxing machine makes 60 bottles in 11 hours, how many bottles will it make in 16 hours
please do not just search 60/11 because i tried that and it did not give me a definite answer

Answers

Answer:

8.27

Step-by-step explanation:

60÷11=5.45 respectively, this is a repeating or non-terminating decimal5.45×16=87.27 also a non-terminating decimal


Brainliest pls

Answer:

8.27

Step-by-step explanation:

First find the unit rate then times the number of hours

On Tuesday Katy ran a mile in 8.34 minutes. She ran another mile in 7.89 minutes on Wednesday. What was the total time for both miles?

Answers

The answer would be 16.23 minutes for both miles.
16.23 for both the miles she ran

please help!!! match each graph with the correct equation

Answers

1) y=x+3
2) y=x-3
3) y=3x+1
4) y=-3x-3

Answer: y=x+3

y=x-3

y=3x+1

y=-3x-3

Step-by-step explanation: ) y=x+3

2) y=x-3

3) y=3x+1

4) y=-3x-3

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