Which expression is equivalent to the following complex fraction? StartFraction 3 Over x minus 1 EndFraction minus 4 divided by 2 minus StartFraction 2 Over x minus 1 EndFraction.

Answers

Answer 1

The expression which is equivalent to the provided complex fraction is equal to the expression,

[tex]{\dfrac{-4x+7}{2(x-2)}}[/tex]

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The expression given in the problem is,

[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}[/tex]

Let the expression which is equivalent to the above expression is f(x). Therefore,

[tex]f(x)=\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}[/tex]

Take the LCM (x-1) in the numerator and denominator as,

[tex]f(x)=\dfrac{\dfrac{3-4(x-1)}{x-1}}{\dfrac{2(x-1)-2}{x-1}}[/tex]

Simplify the expression and cancel out the (x-1) from both the fraction as,

[tex]f(x)={\dfrac{3-4(x-1)}{2(x-1)-2}}\\f(x)={\dfrac{3-4x+4}{2x-2-2}}\\f(x)={\dfrac{-4x+7}{2(x-2)}}[/tex]

Hence, the expression which is equivalent to the provided complex fraction is equal to the expression,

[tex]{\dfrac{-4x+7}{2(x-2)}}[/tex]

Learn more about the equivalent expression here;

https://brainly.com/question/2972832


Related Questions

I’m super confused on 1/3 times 60

Answers

Answer:

20

Step-by-step explanation:

Basically, Yout take 60 and divide it by the number 3 and you get 20. Doing the inverse operation (opposite).

Suppose a rescue helicopter is 700 feet above sea level descends 300 feet to search for debris or any other signs of a submarine in trouble. When the captain does not see anything, he ascends 200 feet and stays at that altitude while he tries to get a radio signal from the submarine. A few moments later he speaks to the captain and is informed that the submarine is 122 feet below sea level. How far is the helicopter from the submarine?

Answers

700-300+200=600
600+122=722

ANS 722

Answer:

The helicopter is 722 feet from the submarine.

Step-by-step explanation:

700 - 300 = 400

400 + 200 = 600

600 - 122 = 722

If Andrea’s boss informs her that she will get a salary increase next month. Then


a. Her demand for all goods will increase next months


b. Her demand for normal goods will increase next months


c. Her demand for normal goods increases now


d. Her demand for all goods increases now

Answers

If Andrea’s boss informs her that she will get a salary increase next month. Then her demand for normal goods will increase next month.

What are normal goods?

A normal good is a good whose demand increases when income increases and whose demand falls when income falls. Normal goods have a positive relationship with income.

Normal goods contrast with inferior goods whose demand falls when income increases and increases when income decreases.

To learn more about normal goods, please check: https://brainly.com/question/2934596

There are 20 socks in a drawer, all the same size, that are blue, green and red. The probability of picking a blue sock is 20%. The probability of picking a green sock is 50%. What is the probability of picking a red sock from the drawer?

Answers

Answer:

30%

Step-by-step explanation:

Probabilities are always out of 100%

50+20=70

100-70=30

274% as a decimal and fraction?​

Answers

2.74 and 137/50 should be correct

Answer:

274% as a decimal = 2.74

Place the Percentage Value at the top over 100.

274/100

The given fraction is

27/100

On reducing the fraction, we get the exact form

274/100 = 137/50

The exact form of the fraction is

137/50]

In the decimal form, the fraction can be written as 2.74.

In the Mixed Number form, the fraction can be written as 2 37/50

.

Step-by-step explanation:

What is the negative solution to the equation 0 - 5 x? 9 ON A) -9 B) 1 C) 9 D) -81​

Answers

Answer:Example 1.

2x2 - 5x - 12 = 0.

(2x + 3)(x - 4) = 0.

2x + 3 = 0 or x - 4 = 0.

x = -3/2, or x = 4.

Step-by-step explanation:

help me..........................​

Answers

Answers:

25. a

26. b

27. c

28. a

29. d

30. d

Step-by-step explanations:

25.

[tex]C = 2\pi r = 2*\frac{22}{7}*\frac{d}{2} = \frac{22}{7}*d = \frac{22}{7} * 42 = 22 * 6 = 132[/tex]

26.

It's the net of a cone

27.

It's the net of a prism (triangular prism)

28.

[tex]V = a^{3}[/tex]

[tex]V = 1000 cm^{3}[/tex]

[tex]a = \sqrt[3]{1000} = 10[/tex]

29.

[tex]v = \frac{d}{t} = \frac{850}{25} = 34[/tex]

30.

[tex]V = 25*10*8 = 2000 cm^3[/tex]

PLEASE HELP I AM STRUGGLING ON THIS

Answers

Answer:

(1, -5) or x=1, y=-5

Step-by-step explanation:

Hope this helps!

Tell me an rounded to the nearest 10th of needed of the following data set is 30,29,40,51,39,24,60,40,35,58

Answers

30, 30, 40, 50, 40, 20, 60, 40, 40, 60

What is the solution of 4 StartRoot 5 x 66 EndRoot = x 10?.

Answers

The formula of Sridharacharya is used. Then the solutions of the equation are 73.19 and -13.19.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The equation is given as

[tex]\rm 4\sqrt{5x + 66} = x +10[/tex]

Squaring both sides, we have

16(5x + 66) = (x + 10)²

16(5x + 66) = x² + 100 + 20x

On simplifying, we get

x² + 100 + 20x -80x - 1056 = 0

                     x² - 60x - 956 = 0

On solving by formula method, we have

a = 1; b = -60; and c = -965

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\\x = \dfrac{-(-60) \pm \sqrt{(-60)^2 - 4*1*(-965)}}{2*1}\\\\\\x = 73.19, \ -13.19[/tex]

Thus, the solutions of the equation are 73.19 and -13.19.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

verified dude trippin

its 3

Explain how to find 2 1/4 divided by 1 1/2!!

Answers

Answer:

1 1/2

Step-by-step explanation:

Amy volunteers at an animal shelter. She worked 10 hours in March, 12 hours in April, 14 hours in May, and 16 hours in June. If the pattern continues, how many hours will she work in December? Make a table to find the answer.

Answers

Answer:

28

Step-by-step explanation:

3th (March): 10

4th: 12

5th: 14

6th: 16

7th: 18

8th: 20

9th: 22

10th: 24

11th: 26

12th ( December): 28

The 4th, 5th, 6th ect are the months because i cant remember the order or how to spell rn

March (1) = 10 hours (first month, second month.. so on)

April (2) = 12 hours (+2)

May (3) = 14 hours (+2)

June (4) = 16 hours (+2)

July (5) = 18 hours (+2)

August (6) = 20 hours (+2)

September (7) = 22 hours (+2)

October (8) = 24 hours (+2)

November (9) = 26 hours (+2)

December (10) = 28 hours (+2)

Amy works 2 extra hours every month.

By December, she would have worked 28 hours.

A small-business owner will lease a billboard to advertise her business. The table shows the linear relationship between the cost of leasing a billboard from Company N and the number of months the billboard is leased. The cost to lease a billboard from a different company, Company P, for x months can be found using P(x) = 100x. For what number of months will the cost of leasing a billboard be the same for both companies?

Number on months, x. - Cost, N
1 - 580
2 - 660
3 - 740
4 - 820
5 - 900

RoC = + 80

A. 9 months
B. 29 months
C. 10 months
D. 25 months

Answers

It would take about 25 months for the cost of leasing a billboard be the same for both companies.

Linear function

A linear function is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let P represent the cost to lease a billboard from a different company for x months. Given that:

P(x) = 100x

For the second company, let C represent the cost, hence using the table point (1, 580) and (5, 900):

C - 580 = [(900 - 580)/(5 - 1)](x - 1)

C = 80x + 500

For the same cost:

100x = 80x + 500

x = 25 months

It would take about 25 months for the cost of leasing a billboard be the same for both companies.

Find out more on Linear function at: https://brainly.com/question/15602982

Answer:25 months

Step-by-step explanation:

because that’s what it says

send me a photo of 360 angle ruler​

Answers

Answer:

The image below shows an image of a 360 degree ruler.

Step-by-step explanation:

Solve the system of equations

a+s=560

8a+3s=2905

Answers

Answer:

a=245 s=315

Step: Solve a+s=560 for a:

a+s=560

a+s=560(Add -s to both sides)

a=−s+560

Step: Substitute −s+560 for a in 8a+3s=2905:

8a+3s=2905

8(−s+560)+3s=2905

−5s+4480=2905(Simplify both sides of the equation)

−5s+4480=2905(Add -4480 to both sides)

−5s=−1575

−5s=−1575(Divide both sides by -5)

s=315

Step: Substitute 315 for s in a=−s+560:

a=−s+560

a=−315+560

a=245

Claire made four times as many baskets as Chloe during basketball practice today.

Answers

Answer:

comment the abcd's maybe i can help

Step-by-step explanation:

also conplete the question

please help me


i'll mark u as brainly if u give me the correct answers

Answers

Answer:

49π cm²

Step-by-step explanation:

Diameter (d) = 14 cm

Radius (r) = d/2 = 14/2 = 7 cm

Area of a circle

= πr²

= π × (7)²

= 49π cm²

Hope it helps ⚜

Information provided with us :

Diameter of the given circle is 14 cm.

What we have to calculate :

Area of that circle?

Performing Calculations :

Here we would be first calculating the radius of the given circle. As we know that radius of the circle is calculated by the formula,

r = d / 2

Putting the values,

=> r = 14 / 2

=> r = 7

Therefore, radius is of 7 cm.

Now, heading up to calculate the area of circle.

Formula,

A = πr²

Putting the values in the formula,

=> A = 22/7 (7)²

=> A = (22/7) × 7 × 7

=> A = 22 × 7 × 7 / 7

=> A = 22 × 49 / 7

=> A = 22 × 7

=> A = 154 cm²

3rd question bois XD brainliest and 30 points

Answers

Answer:

B

Step-by-step explanation:

Angle is 180

180-80= 100

combine like terms

5x

100=5x

X=20

3x+80+2x=180

-80. -80

3x+2x=100

5x=100

divide both sides by 5

X=20

Which of the following sets of numbers could represent the three sides of a triangle?

Answers

Answer:

( 8 , 15 , 24 )

option d is the correct answer

I need help on this one!!

Answers

Answer:

v = -6

Step-by-step explanation:

1. Add the opposite (turn each subtraction sign into an addition sign and change the number in front of the addition sign to a negative or positive depending on what it was originally).

2. Subtract 4v from both sides of the equation.

3. Subtract 36 from both sides of the equation.

4. Divide both sides of the equation by 9.

5. You will be left with v = -6.

Identify the angles of rotational symmetry for the figure.​

Answers

Answer:

60°

Step-by-step explanation:

The internal angLe is 60°

Will mark Brainliest
if correct
What is the maximum of the sinusoidal function?

Answers

Answer:

5

Step-by-step explanation:

Maximum: the value of y where the height of the function is greater than (or equal to) the height anywhere else in that interval.

From inspection of the graph, the maximum is 5

This is a graph of [tex]f(x)=2\sin(x)+3[/tex]

Range: [tex]1\leq f(x)\leq 5[/tex]

Answer:

maximum: 5, minimum: 1

Explanation:

maximum is the highest/peak point of a graph.minimum is the bottom/lowest point of a graph.

check out the image for better visualisation:

PLEASE ANSWER Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x=14

Step-by-step explanation:

30.     60       90

x        x[tex]\sqrt{3}[/tex].    2x

7       7[tex]\sqrt{3}[/tex].    14

The angle across from the wall is the measurement.

Give the other guy brainliest.

(I messed up the question)

A molecule that can be used as a molecular clock has a neutral mutation rate of one mutation per 40 million years. How many years ago did two species share a common ancestor if the molecules found in these two species differ by a total of eight mutations? 160 million years 320 million years 100 million years 240 million years.

Answers

Answer:

Answer: 320 MIlion years

Step-by-step explanation:

IT is not very hard because all you have to do is since it is only 40 million per one rotation and you have eight of them, then it is 320 because 4 times 8 equals 32.

Find the number of terms and the degree of this polynomial.

4f² + 5f

Number of terms:

Degree: ​

Answers

The number of terms is 2
The degree is also 2

The number of terms is how many terms there are present. 4f^2 and 5f are the only terms present, and there are two, so the answer is two
The degree is the highest degree on the polynomial, which would be two from 4f^2

What is the correct answer NEED IT ASAP PLEASE​

Answers

Answer:

84

Step-by-step explanation:

Since Robin doesn't work at McDonald's, then we would focus on the 1000$ and the 12$/hour, divide 1000 by 12 = 83 [tex]\frac{1}{3}[/tex] then, complete it by adding [tex]\frac{2}{3}[/tex] to it (because its BY HOUR) and the answer is 84.

Please help this is so confusing

Answers

Step-by-step explanation:

The ones that apply are:

1) 10t + 5s = 190

2) t + s = 30

No. 1 is because each tumbler is $10 making 10t and each hat is $5 making 5s and the total sales is $190

No. 2 is because the total tumblers and hats sold add up to 30

Sometimes all you need is a different perspective :)

Hope this helps!

Please mark as brainliest :)

Roberto said, "I'm thinking of a fraction that is equivalent to 3/9. The denominator is 2 more than the numerator." What fraction is Roberto thinking of? Enter the numerator in the top blank space and the denominator in the bottom blank space.

Answers

Answer:

1/3

Step-by-step explanation:

3/9 divided by 3 is 1/3 and 1+2 =3

Answer:

3/9 = x/3

Step-by-step explanation:

yes

Which statement is NOT always true about a parallelogram?

A. The opposite sides are parallel

B. The diagonals are congruent

C. The opposite angles are congruent

D. The opposite sides are congruent

Answers

Answer:

Of the statements given, the one that is not always true about a parallelogram is that A. The diagonals are congruent.

One year, the population of a city was 201,000. Several years later it was 237,180. Find the percent increase.

Answers

Answer:

18%

Step-by-step explanation:

% increase = new population - old population x 100

old population. 1

% increase = 237180 - 201000 x 100

201000. 1

% increase = 36180 x 100

201000

% increase = 3618000

201000

% increase = 18%

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