Match each rational expression to its simplest form.
2m2-4m
2(m2)
m2-2m+1
m-1
m-
m
m-1
EE
m
m²-3m +2
m2.
m
m
m
Reset
m²-m-2
m²-1
Next

Answers

Answer 1

The first rational expression simplifies to (m - 1).

The second rational expression simplifies to (m - 2) / m.

The third rational expression simplifies to (m - 2) / (m - 1).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(m² - 2m + 1) / (m - 1)

(m² - 2m + 1) / (m - 1)

= (m - 1) / 1

= m - 1

The first rational expression simplifies to (m - 1).

(m² - 3m + 2) / (m² - m)

(m² - 3m + 2)

= (m - 1)(m - 2)

(m² - m)

= m(m - 1)

So,

(m² - 3m + 2) / (m² - m)

= (m - 2) / m

The second rational expression simplifies to (m - 2) / m.

(m² - m - 2) / (m² - 1)

(m² - m - 2)

= (m - 2)(m + 1)

(m² - 1)

= (m - 1)(m + 1)

So,

(m² - m - 2) / (m² - 1)

= (m - 2) / (m - 1)

The third rational expression simplifies to (m - 2) / (m - 1).

Thus,

The first rational expression simplifies to (m - 1).

The second rational expression simplifies to (m - 2) / m.

The third rational expression simplifies to (m - 2) / (m - 1).

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The complete question.

Match each rational expression to its simplest form.

(m² - 2m + 1) / (m - 1)

(m² - 3m + 2) / (m² - m)

(m² - m - 2) / (m² - 1)

Options:

(m - 2) / m

(m - 1)

(m - 2) / (m - 1)


Related Questions

is f(x)=x^(2)-4 and f(x)=3(2-x) functions?

Answers

Answer:

Yes

Step-by-step explanation:

There is only one output value for each input value, which is the definition of a function.

What is the probability of rolling a 6 sided die 4 times and getting an even number all 4 times?

Answers

The probability is 1/2.

Explanation:

There are three even numbers in a six sided die, so the automatic fraction form would be 3/6, with 6 being the total number of numbers on the die. Reducing this to simplest form would give you 1/2, or 50%.

A chef randomly pulls cupcakes from a box containing 6 cupcakes of the same shape and size. There is 1 cupcake with vanilla frosting, 3 cupcakes with chocolate frosting, and 2 cupcakes with pink frosting. He draws 1 cupcake and then draws out another cupcake without replacing the first one. Find the probability of picking 1 cupcake with chocolate frosting followed by another cupcake with chocolate frosting, and show the equation used, and solve it.

Answers

Answer:

To pull our the first chocolate, it would be a probability of 1/2.

To pull the second chocolate out, it would be a probability of 2/5.

Hope that helps, you just use ratios, the first cupcake needs to be chocolate, and there are 3 chocolate cupcakes out of the 6. Make that into a fraction 3/6, and simplify into 1/2.

The same goes for the second cupcake.

In which number does the digit 3 have a value that is ten times greater than the value of the digit 3 in the number 145,317?

Answers

A number where the digit 3 has a value ten times greater than the 3 in 145,317 can be 143,417.

How to work with place values?

In any number, the place value refers to the "place" that a digit has on a number. The first one is the units place, the second is the tens place, and so on.

As more in the left is the place value, the largest value it represents.

Particularly, in 145,317

The 3 is on the third place, so it represents the value 300.

For example, in 143,417

The 3 is more in the left than before, this time on the fourth place, this time the value of the 3 is 3,000.

Then, a number where the digit 3 has a value ten times greater than the 3 in 145,317 can be 143,417.

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Find the length of the arc in terms of pi

Answers

Answer:

[tex]9\pi[/tex]

Step-by-step explanation:

[tex]\text{Arc length,}~ s = r\theta\\\\~~~~~~~~~~~~~~~~~~=12 \times \left( \dfrac{135\pi}{180} \right)\\\\~~~~~~~~~~~~~~~~~~=9\pi[/tex]

4gal 2qt - 3gal 3qt=
I need help with this one, it's just subtracting as is. Thank you

Answers

Answer:

= .75 gallons or 3 quarts

Step-by-step explanation:

Known

1 gallon = 4 quarts

Problem:

4 gallons 2 quarts - 3 gallons 3 quarts

⇒ 2 quarts: 0.5 gallons

⇒ 3 quarts: 0.75 gallons

Add on both sides

4 + 0.5 = 4.5 gallons

3 + 0.75 = 3.75 gallons

This leaves the equation at:

4.5 gallons - 3.75 gallons

This equals 3 quarts or 0.75 gallons.

Suppose you have entered 97​-mile biathlon that consists of a run and a bicycle race. During your​ run, your average velocity is 8 miles per​ hour, and during your bicycle​ race, your average velocity is 27 miles per hour. You finish the race in 5 hours. What is the distance of the​ run? What is the distance of the bicycle​ race?

Answers

The distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Distance = average velocity × time

Let the time and distance of the run, respectively, be t₁ and.d₁

Let those of the bicycle race be t₂ and d₂

From the question,

t₁ + t₂ = 5

d₁ = 8t₁

d₂ = 27t₂

Total distance = 97

8t₁ + 27t₂ = 97

8 ( 5 - t₂ ) + 27t₂ = 97

40 - 8t₂ + 27t₂ = 97

40 + 19 t₂ = 97

19t₂ = 57

t₂ = 3 hours

t₁ + t ₂ = 5

t₁ = 5 - t₂

t₁ = 5 - 3 = 2 hours

Now the distances are calculated as:-

d₁ = 8t₁ = 8 x 2 = 16 miles

d₂ = 27t₂ = 27 x 3 = 81 miles

Therefore the distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.

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Matthew is grocery shopping for a taco Tuesday Bloc Party he is expecting 60 people including himself, and for each person to have 1 soft and 1 crispy taco. Soft tortillas coke in packs of 10. Crispy taco shells come in packs of 12. How many packages of each tortilla type does Mathew need to feed everyone?

Answers

The number of each tortilla type that Mathew would need to feed everyone is = 6 packages of Soft tortillas and 5 packages of Crispy taco shells.

Calculation of number of tortilla

The number of people Matthew is expecting including himself = 60

The Soft tortillas coke appear = 10/pack

The Crispy taco shells appear = 12/pack

Since each person is to get 1 soft and 1 crispy taco, the number of tortilla type that Mathew would need to feed everyone is

= 60/10 = 6 packages of Soft tortillas

= 60/12 = 5 packages of Crispy taco shells

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Submitting a Bid
You want to bid on a project for the pool shown. The project involves ordering and installing the brown tile that borders the pool, and ordering a custom-made tarp to cover the surface of the pool. In the figure, each grid square represents 1 square foot.
You pay $5 per linear foot for the tile.
You pay $4 per square foot for the tarp
It takes about 15 min to install each foot of the tile
A) estimate the total cost for the tile and the tarp


Answers

Answer:

5,125

Step-by-step explanation:

A manager finds a moderate negative correlation between the number of computer sales and the number of microwave sales in his store.

Which statement is true?




The correlation is most likely a coincidence.

The correlation is most likely due to a lurking variable.

The correlation is most likely a causation.

Answers

The true statement is the correlation is most likely due to a lurking variable.

What is negative correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when there is an inverse relationship between the two variables. If one variable increases, the other variable decreases.

Assume that the store is located near a school where the students live on an allowance. So, students do not have time to buy both computers and microwaves. When students buy computers they do not have enough money to buy microwaves. This explains the negative correlation.

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Find the missing side of this right
triangle.
X

28
[?]
X =1
Enter the number that belongs in the green box.

Answers

Applying the Pythagorean theorem, the missing side of the right triangle is: √788.

What is the Pythagorean Theorem?

To find the hypotenuse (c) of a right triangle, having two other legs a and b, the Pythagorean theorem states that, c = √(a² + b²).

Given the following:

c = xa = 2b = 28

Plug in the values

x = √(2² + 28²)

x = √788

Missing side is: √788.

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If a prism is placed into a basin of water (density: 32.5 lbs/ft^3 ) displaces 3.3 lbs of water, what is the volume of the water that was displaced (in cubic inches)?
Please help

Answers

The volume of water that was displaced is 0. 000019 cubic meters.

What is volume?

Volume is known to be the amount of space or capacity occupied by a three-dimensional solid shape.

It is denoted in cubic units.

How to calculate the volume

The formula for calculating volume is;

Volume = mass ÷ density

Given that mass = 3. 3 Ibs and density = 32. 5Ibs/ ft∧3

Volume = 3. 3 ÷ 32. 5 = 0. 10 Ibs

How to covert Ibs to cubic meters

Ibs = 0. 00019 m∧3 (cubic meters)

Then, 0. 10 Ibs = 0. 00019 × 0.10 ÷ 1 = 0. 000019 cubic meters.

Therefore, the volume of the water displaced is 0.000019 cubic meters.

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Solve for x in the triangle. Round your answer to the nearest tenth.
X
5
22°

Answers

x is 5.4 because you find the missing angle measure, which is 68 because 180-90-22 is 68, then you use sine of 68 to get 5/x then isolate x and put into calc

Which of the following is a complex number?
OA. -8√-3/1/2
OB. 3√/+√√
9
5
OC. 9-17
OD. 5-2V7
2√7
4

Answers

Answer:

[tex]B)~ 3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }[/tex]

Step-by-step explanation:

[tex]3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }\\\\\\= 3\sqrt{\dfrac 75} + i\sqrt{\dfrac 95 }\\\\\text{It is now in the standard form of a complex number (a+bi).}[/tex]

The box is 450 square. The length is 10 inches and the width is 5 inches. What is the height of the box

Answers

Answer:

9 inches

Step-by-step explanation:

I assume you mean the volume of the box is 450.

In that case, to figure out for the volume we multiply 10 by 5. This gives us 50.

450/50=9

The height of the box is 9 inches

Give brainliest please!

hope this helps :)

Why is y = 63?? Isn’t (x-5)+51+(y-6)=180??

Answers

Answer:

coz it is

Step-by-step explanation:

the angle is 57° , so y is 63 as 63-6 = 57

Between which two tenths is the decimal approximation of √7?





Answers

Answer:

2.6 and 2.7

Step-by-step explanation:

The actual square root of 7 is 2.64 and that is between 2.6 and 2.7.

Find the volume of the prism.
9km 8km 6km

Answers

The correct answer is option B which is the volume of the prism is 216 km³.

What is the volume of the prism?

A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.

The volume of the prism will be calculated by using the formula below:-

V  =  Area of the base   x   Height

Since the base is a right-angle triangle so we will calculate the area of the right-angle triangle.

V  =  Area of the triangle  x  Height

V  =  ( 1/2 ) x 8 x 6 x ( 9 )

V  =  216 km²

Therefore the correct answer is option B which is the volume of the prism is 216 km³.

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An arithmetic sequence has this recursive formula:

What is the explicit formula for this sequence?

Answers

Answer:

C

Step-by-step explanation:

the explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

from the recursive formula in the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d

given

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 7

with d = - 7 and a₁ = 4 , then explicit formula is

[tex]a_{n}[/tex] = 4 + (n - 1)(- 7)

15
5. At the Redbridge School, of pupils have a pet dog, & have a cat and have a
The rest have no pets.
A)What fraction of the children has no pet? Write this in its simplest form.
B)There are 250 pupils at the School. How many children have no pets?
C)At the Bluebell School, 23% have no pets. What percentage increase of pupils at
the Bluebell School have no pets compared to the Redbridge School?

Answers

A percentage is a way to describe a part of a whole. The number of people who don't have pets is 50 people.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given at the Red bridge School, 1/3 of pupils have a pet dog 2/5 have cat and 1/15 have a hamster.

A.) Number of people who don't have pets = 1 - 1/3 - 2/5 - 1/15

                                                                        = (15-5-6-1)/15

                                                                        = 3/15

                                                                        = 1/5

B.) Given there are 25 people at the school. Therefore, the number of people who don't have a pet is,

Number of people who don't have pets = (1/5) × 250 = 50

C.) The percentage increase of pupils at the Bluebell School that has no pets compared to the Red bridge School is,

Percentage increase = (23%-20%)/20% × 100% = 15%

Hence, the number of people who don't have pets is 50 people.

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Which of the following rules is the composition of a dilation of scale factor 2, then a translation of three units to the right? a) (2x+3,y) b) (2x+6, 2y) c) (2x +3, 2y) d) (2x+6, y)​

Answers

Answer:

The answer is C: (2x +3, 2y)

Step-by-step explanation:

When applying the dilation of a scale factor of 2, you have to apply it to both the x and y coordinate, which means you are multiplying the coordinates by 2.

Let's assume the coordinates you start with are (x, y). Apply the dilation of 2.

(x, y) -----> (2x, 2y)

Now you are moving the figure right. When moving right, this only effects the x coordinate since the x axis moves left and right. Moving right indicates you will add the number of units translated to the x coordinate.

Translation 2 units right:

(2x, 2y) -----> (2x +3, 2y)

I am not divisible by 2,3,5 or 7. My two digits are not the same, but they are both squares. What two numbers could I be?
I NEED HELP FASTTT

Answers

Answer:

19 is suitable no in which 1 is square of itself and 9 is of 3

The two possible numbers are 19 and 41
The only square single digits are 1, 4 and 9
Possible two digit numbers are:
14 - divisible by 2
19
41
49 - divisible by 7
91 - divisible by 7
94 - divisible by 2

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

68 inches

Step-by-step explanation:

y = x + 2

x = 66

y = 66 + 2

y = 68

A circular disc has circumference 250 cm.
Calculate the radius of the disc.

Answers

[tex]\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=250 \end{cases}\implies 250=2\pi r\implies \cfrac{250}{2\pi }=r\implies \stackrel{cm}{39.79}\approx r[/tex]

please help i need to turn this in

Answers

Answer:

a) -3

b) 9

c) -3

Step-by-step explanation:

a)

[tex]2^5 * 2^{-8} = 2^a[/tex]

In cases where we have a multiplication with exponents we keep the integer as it is and we add the exponents. 5 + -8 = -3. Therefore a is 3.

b)

[tex]\frac{4^7}{4^-{2}} = 4^b[/tex]

In cases when we have a division with exponents we keep the integers as it is and we subtract the exponents. 7 - (-2) = 7 + 2 = 9. Therefore, b is 9

c)

[tex]\frac{7^9}{7^c} = 7^{12}[/tex]

We are dividing again however we are finding the denominator.

9 - (c) = 12

Subtract from both sides: -c = 3, To make c positive we just make the value negative, c = -3. Therefore c is -3

Graph the function and identify the domain and range.
y=-3x^2

Answers

Answer:

Domain:

X is all the real numbers

or

[tex] - \infty < x < \infty [/tex]

Range:

[tex]y \leqslant 0[/tex]

or

[tex] - \infty < y \leqslant 0[/tex]

Step-by-step explanation:

This is the graph.

Sara made hot chocolate mix to give to
her neighbors. She mixed 4 cups of sugar
with 2 cups of cocoa. Then she poured 12/2
cups of the mix in each jar. How many jars
did she fill?

Answers

4 cups + 2 cups = 6 cups

we can simplify 12/2 by dividing, giving us 6 cups.

(i’m not sure if you were given the amount of cups needed to fill a jar, but please comment and i’ll answer for you)

Please solve with explanation (high points)

Answers

So, we know that:

[tex]A=\dfrac{1}{2}ab\\P=a+b+c\\a^2+b^2=c^2[/tex]

We also know that [tex](a+b)^2=a^2+2ab+b^2[/tex]. We will use that fact to find [tex]c[/tex] in terms of [tex]A[/tex] and [tex]P[/tex].

[tex]A=\dfrac{1}{2}ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c[/tex]

Therefore:

[tex](P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=\dfrac{P^2-4A}{2P}[/tex]

3z+35=47 solve
help, i need answer

Answers

Answer:

z=4

Step-by-step explanation:

subtract 47-35

3z=12

divide both sides by 3

z=4

Find the slope of the line.

Answers

Answer:

2

Step-by-step explanation:

we know the line goes through the origin, so we have point (0,0). next, find another point the line goes through. for example, point (2,4)

the slope formula for points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). plug in the 2 points to get (4-0)/(2-0) = 4/2 = 2

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