Which expression is equivalent to the following complex fraction?

Which Expression Is Equivalent To The Following Complex Fraction?

Answers

Answer 1

Answer:

Option B

Step-by-step explanation:

Numerator:

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

                 [tex]=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}[/tex]

Denominator:

[tex]2-\dfrac{2}{x-1}=\dfrac{2*(x-1)}{x-1}-\dfrac{2}{x-1}\\[/tex]

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

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

                 [tex]\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}[/tex]


Related Questions

416
Chapter 7 Graphing and Functions
16. 2y - 5 = 0
ху

Answers

Answer:

y=2

Step-by-step explanation:

add 5 to 0 then divide 5 with 2

there are 45 marbles in a blue jar. the blue jar has 9 times as many marbles as a red jar. let m be the number of marbles in the red jar.
Write an equation that relates the number of marbles in the two jars. Use 9, m, and 45​

Answers

Answer:

9m = 45

Step-by-step explanation:

if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:

9m = 45

where m is the number of marbles in the red jar.

What is 45% of 69/3???

Answers

Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

Why are you deleting my answers??

In a parallelogram ABCD, angle a=70, find 2angle d​

Answers

Answer:

D = 110

Step-by-step explanation:

Given,

In a parallelogram ABCD,

∠A =70∘

∠A + ∠B = 180∘.. (supplementary angles)

∠B = 180∘ – 70∘ = 110∘

∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)

∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110

the answer is gon b 110

The area of the rectangle is
432 square units. If the width
is 24 units, what is the length?

Answers

Answer:

18 units

Step-by-step explanation:

Area = length * width (A = L * w)

So, in order to find the length when given the width and area, you have to divide the area by the width.

432 / 24 = 18

I hope this helps! Have a lovely day!! :)

Haley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week and her brother is spending $15 each week. After how many weeks will their savings account have the same amount of money in them

Answers

Answer:

It will be 3 weeks until their savings account has the same amount of money in them.






Step-by-step explanation:

Have a great rest of your day
#TheWizzer

How do you figure out which statement is true?

Answers

Answer:

What question are you talking about though

One-fourth of the sum of a number and 10 is 2 less
than twice the number?

Answers

Answer:

The number is 2

Step-by-step explanation:

The equation is: 1/4 (x + 10) = 2x - 1

1/4x + 2.5 = 2x - 1

Multiply everything by 4 to get rid of the fraction

x + 10 = 8x - 4

Subtract x from both sides

10 = 7x - 4

Add 4 to both sides

14 = 7x

Divide both sides by 7

x = 2

Find the solution(s) to the system
y = x2-4
y = -2x – 5

Answers

Answer:

=(-1,-5)

Step-by-step explanation:

y=X1=4

y=-2x-5-2

Zoey purchased a new car in 1992 for $28,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $9,600 in the year 1996, then what would be the predicted value of the car in the year 1998, to the nearest dollar?

Answers

Answer:

V = V0 e^-k t     where V is the value of the car and t the time in years

ln (V/V0) = - k t

k = -1/4 ln (96/280) = .268

V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621

-16t^2+100t+316=0
Solve the quadratic equation. Round to the nearest tenth.

Answers

Answer:

-2.3, 8.6 to the nearest tenth.

Step-by-step explanation:

-16t^2+100t+316=0

Simplify it first.

Divide  by -4:

4t^2 - 25t - 79 = 0

Using the quadratic formula:

x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8

= (25 +/- √(1889)) / 8

=   3.125 +/- 43.463/8

= 3.125 +/- 5.433

= -2.308, 8.558

Answer:

quadratic formula normally normally applies in such cases

Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x)

Answers

The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex]  where x and b positive real numbers is - 5 · b⁻¹ · log₃ b.

How to analyze and solve logarithmic expressions

Logarithms are trascendental functions, that is, functions that cannot be described algebraically.

In this question we must apply logarithm and algebraic properties to determine firstly the value of [tex]x[/tex] and later to find value of the latter logarithm. Now we proceed to find the value of [tex]x[/tex]:

[tex]\log_{b} x^{2} = 10[/tex]

[tex]2\cdot \log_{b} x = 10[/tex]

[tex]\log_{b} x = 5[/tex]

x = b⁵

Then, the value of the latter logarithm is:

log₃ (x⁻¹)[tex]^{1/b}[/tex]  

- b⁻¹ · log₃ x

- b⁻¹ · log₃ b⁵

- 5 · b⁻¹ · log₃ b

The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex]  where x and b positive real numbers is - 5 · b⁻¹ · log₃ b. [tex]\blacksquare[/tex]

Remark

The statement is poorly formated, correct form is described below:

Let [tex]x[/tex] and [tex]b[/tex] be positive real numbers so that [tex]\log_{b} x^{2} = 10[/tex]. Find [tex]\log_{3} \sqrt [b]{\frac{1}{x} }[/tex].

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/3181916

Using the digits 1, 3, and 5 only once, write the greatest
and least three-digit numbers you can.

Answers

Answer:

Greatest: 531

Least: 135

Step-by-step explanation:

In order to make the greatest number, you want the highest number to be in the highest digits place.

In this case, 5 is the largest number

This is because having a number that is 500 is greater than a number that is 300 or  100.

Then, the next biggest number will be used for the next digit, which is 3, so 3 will be in the 10s place

Then the left over 1 will be in the single digits place, so the greatest number is

531

This is the same process as before, just instead of big numbers, you want little numbers

For the least number, you want the lowest number to be in the 100s place, which is 1

Then 3 is the next lowest number

and the left over is 5

So the least number you can make is:

135

Find the value of x in this equation.

Answers

Answer: 5

Step-by-step explanation:

Help I’ll give info help text me on ig 7mile.jr

Answers

Lol
U don’t learn
U see how u are suffering

The pentagonal prism below has a height of 7.2 units and a volume of 309.6 units,
Find the area of one of its bases.

Answers

Answer:

Step-by-step explanation:

Volume of pentagonal prism = 309.6 cubic units

h = 7.2 units

[tex]\boxed{\text{Area of one of the base= $\dfrac{Volume}{h}$}}[/tex]

                                    [tex]\sf=\dfrac{309.6}{7.2}\\\\= 43 \ square \ units[/tex]

Put the expressions in order from least to greatest.

Answers

Answer:

[tex]\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}[/tex]

Step-by-step explanation:

For this, you need to know the rules of exponents:

If the coefficient is the same, you can do things to it (which I will get into)

In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.

For the first one, you can subtract the denominator exponent by the numerator exponent like so:

[tex]11^{4} * 11^{-11} = 11^{-7}\\[/tex]

(When you multiply, you add the exponents)

Also, the rule is: [tex]x^{-y} = \frac{1}{x^{y} }[/tex] or [tex]\frac{1}{x^{-y} } = x^{y}[/tex]

For the second one, you can use the rule mentioned before:

[tex]\frac{1}{11^{-4} } = 11^{4}[/tex]

For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)

So:

[tex](11^{-3} )^{-3} = 11^{9}[/tex]

Finally, the fourth one, you can simply just add the exponents:

[tex]11^{5} * 11^{2} = 11^{7}[/tex]

Then, just order them from least to greatest by their exponents value :)

Zahra is looking at a map of a park that has
a scale of 3 in. to 200 ft.
On the map, each side of the park is 6
inches long.
Zahra's distance to the park is 500 feet.
How long would this distance be on the
map?

Answers

Answer:

7.5 inches

peeeee

Simplify the given expressions below.
I) 4x + 8 - 2x + 7


2) 2n ×5 ×2a


3) 6a power 5 over 3a power 2 ×2a
please work it out and clear​

Answers

Step-by-step explanation:

1) [tex] \Rightarrow \: \sf \: 4x + 8 - 2x + 7[/tex]

Combine like terms

[tex] \rightarrow \: \sf \: ( 4x - \textcolor{green}{2}x) + (7 + \textcolor{green}{8})[/tex]

Add 4x and 2x , 7 + 8

[tex] \rightarrow \sf \: 2x + 15[/tex]

~Done~

2) [tex] \Rightarrow \sf 2n ×5 ×2a[/tex]

[tex] \rightarrow \sf \:( 2n) (5) (2a)[/tex]

[tex] \rightarrow \sf \: 20an[/tex]

~Done~

what number is between 1.3 and 1.45

Answers

Step-by-step explanation:

1.3+1.45/2

= 1.75/2

=0.875

Which number is a common multiple of 2 and 4?
A) 14
B) 24
C) 26
D) 34
LAST QUESTION MORE POINTS LETS TAKE IT TO 100!

Answers

Answer: B) 24

Step-by-step explanation:

      All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.

Multiples of four are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc.

      I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.

24 / 2 = 12

24 / 4 = 6

Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.

Answers

Answer:

g(x) is the translation of f(x) 2 units to the left and 4 units down

Jazmine is picking an outfit to wear to a party. She has 5 pairs of pants, 7 shirts, and 4 pairs of shoes to choose from. The number of possibilities Jazmine has to wear to the party is ———- than 120.

Answers

Answer:
mmore
Step-by-step explanation:
Multiply them all together

What equals -9 when multiplied but -8 when added

Answers

Answer:

1 and -9

Step-by-step explanation:

We can find the number by looking at the factors of -9, which include 1 and -9, -1 and 9, and -3 and 3.

1 * -9 = -9

1 + (-9) = -8

Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer: D

Step-by-step explanation:

None of the above

Answer:

Step-by-step explanation:

d

help please thank you

Answers

Answer:

hmm i think its

1/2(x + y)

Step-by-step explanation:

because well... this would be eaiser for me if it said "of the" because "of the" is mostly used for multiply, but since it just said "the..." i can only guess. I think this may be the answer tho?

The equation would be 1/2(x + y).
Due to x and y being the quantity you would simply take one half of that as a whole.

please help
cos40∘=sin(x+30∘)​

Answers

Answer:

x = 20 degrees.

Step-by-step explanation:

cos40∘=sin(x+30∘)​

sin (x + 30) = 0.766

x + 30 = arcsin 0.766 = 50

x = 50 - 30 = 20.

Answer:

x = 20

Step-by-step explanation:

cos(angle) = sin(complement of angle) , then

cos40 = sin(90 - 40) = sin50 , then

sin(x + 30) = sin50 , that is

x + 30 = 50 ( subtract 30 from both sides )

x = 20

Box size | number of mufffons
Small. 4
Medium. 6
Large. 8
Extra large 12

How many muffins are needed to fill all the boxes? Show your work

Answers

30
4 + 6 = 10
10 + 8 = 18
18 + 12= 30

or 4 + 6 + 10 + 8 + 12 = 30

Two sides of an isosceles triangle measures 9 and 18. Which of the following could be the measure of the other side?

Answers

20.124

Step-by-step explanation:

remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so

9 x 9 = 81

18 x 18 = 324

324+81 = 405

now you have to sq root it (20.1246)

50/100 in tenth fraction and decimal form

Answers

Answer:

5/10 and .5

Step-by-step explanation:

50/100 is 1/2 so 1/2 is equal to 5/10

5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5

hope it helps !

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