Which rational expression is equivalent to this expression?
4/x-3. A) X-3/x+2•x+2/4. B) X-3/x+2/ 4/x+2. C) x+2/x-3• 4/x+2. D) x+2/x-3/ 4/x+2

Answers

Answer 1

The rational expression that is equivalent to the expression f(x) = 4/(x - 3) is {x + 2/x - 3} • {4/x + 2}.

What is rational function?A rational function is one that can be written as a polynomial divided by a polynomial. The domain of a rational function is the set of all numbers except the zeros of the denominator.

Given is the expression as follows -

f(x) = 4/(x - 3)

[A] -

{x - 3/x + 2} • {x + 2/4} = {x - 3/4}

[B] -

{x - 3}/{x + 2} / {4/x + 2} = {x - 3}/{x + 2} × {x + 2/4} = {x - 3/4}

[C] -

{x + 2/x - 3} • {4/x + 2} = {4/x - 3}

[D] -

{x + 2/x - 3} / {4/x + 2} = {(x + 2)²/ 4x - 3}

Therefore, the rational expression that is equivalent to the expression f(x) = 4/(x - 3) is {x + 2/x - 3} • {4/x + 2}.

To solve more questions on rational function, visit the link below -

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Related Questions

Rewrite the sum of 12 + 27 using the GCF and the distributive property I​

Answers

12345678991112131415161718

what is the median of 16, 18, 18, 19, 25, 27, 28, 31, 31, and 32.

Answers

Answer:

26

Step-by-step explanation:

If the data is in order, the median is the middle value.

If there are two values in the middle, you add them together and divide by 2

So [tex]\frac{25+27}{2} =26[/tex]

26 because in between 25 and 27 is 26 any other numbers that’s missing is because it’s not the median

edward deposited $6,000 into a savings account 4 years ago. the simple interest rate is 3% how much money did edward earn in interest?
(SHOW FULL WORK FOR BRAINLIEST) PLEASE HELP

Answers

Answer:

$6000×3%=180 for a month

so for for years

=6000x48×3%=R8 640

Step-by-step explanation:

1 year has 12 month so you will say 4 year's × 12 Month's it will give you 48 so you Multiply by his deposited money ×Percent

formula=Deposit money×Year's×Percent

Please help it’s due by the end of tonight and I’m not sure what to do if you can’t see (sorry I took a picture of my computer it’s a bit Glitched) you can zoom in

Answers

Do not click that link it’s a hacker please

1. (20 points) One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and standard deviation was 10 seconds. (a) Find a 99.5% confidence interval for the mean time needed to complete the step. (b) What is the confidence level of the interval (71, 73)? (c) How many clamps must be sampled so that 99.5% confidence interval specifies the mean to within ±1.5 seconds? (d) Can you conclude that the mean time needed to complete the step is greater than 73 seconds? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?

Answers

Answer:

(69.708 ; 74.292) ; 78% ; 350 ;

H0 : μ = 72

H0 : μ > 72

Pvalue = 0.8897

there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Step-by-step explanation:

99.5% confidence level, = 2.807

Sample size, n = 150

xbar = 72

Standard deviation, s = 10

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 2.807 * 10/sqrt(150)

Margin of Error = 2.292

Lower boundary = 72 - 2.292 = 69.708

Upper boundary = 72 + 2.292 = 74.292

(69.708 ; 74.292)

B.)

Confidence level of the interval (71, 73)

(72 - 71 ) or (73 - 72)

Margin of Error = 1

Margin of Error = Zcritical * s/sqrt(n)

1 = Zcritical * 10/sqrt(150)

1 = Zcritical * 0.8164965

Zcritical = 1 / 0.8164965

Zcritical = 1.2247

α = 0.22 = 1 - 0.22 = 0.78 = 78%

C.)

Margin of Error = ±1.5

1.5 = Zcritical * s/sqrt(n)

99.5% confidence level, = 2.807

1.5 = 2.807 * 10/sqrt(n)

1.5 = 28.07 / sqrt(n)

Square both sides

1.5² = 28.08² / n

2.25n = 788.4864

n = 788.4864 / 2.25

n = 350.4384

n = 350 samples

D.)

H0 : μ = 72

H0 : μ > 72

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(73 - 72) ÷ 10/sqrt(150)

Test statistic = 1.2247

Pvalue :

P(Z < 1.2247) = 0.8897

Pvalue > α

0.8897 > 0.005

We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

f(x)=(-3^x+12)-2 what is the domain, range, x and y intercepts and vertical and horizontal asymptotes.

Answers

domain is xER (infinite)
range = {y|y < 10}
i don’t know the x intercept sorry but
y intercept = (0,9)
there’s no vertical asymptotes for this function
horizontal asymptote: y = -2

Can you help me answer this question???????

Answers

3^10/ 3^-2
3^12
good luckkkk

Answer:

3^12

Step-by-step explanation:

A family buys 6 airline tickets online. The family buys travel insurance that costs ​$18 per ticket. The total cost is ​$1,056. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.

Answers

Answer:

let x represent the number tickets

number of ticket=6

cost of the travelling insurance per ticket =$18

total cost= $1056

(x+x+x+x+x+x+18)= $1,056

6x + 18 = $1,056

which if the following equations fit this graph?​

Answers

y=3/2


That it I think so

PLEASE HELP! 20 POINTS!!

Answers

Answer:

15

Step-by-step explanation:

In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!


2. The angles of a pentagon are 6x, (2x + 20°),(3x - 20%), 2x and 14x. Find x. Please answer please please ​

Answers

Answer:

x=20

Step-by-step explanation:

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

:))

Help please will mark brainliest!!!

Answers

93.9 or 17702.3 I think it’s the long 1 tho

Write an recursive formula for An, the nth term of the sequence
5, -2, -9,

Answers

Given:

The given sequence is:

[tex]5,-2,-9,...[/tex]

To find:

The recursive formula for [tex]a_n[/tex], the nth term of the sequence.

Solution:

We have,

[tex]5,-2,-9,...[/tex]

Here, the first term is 5.

[tex]-2-5=-7[/tex]

[tex]-9-(-2)=-9+2[/tex]

[tex]-9-(-2)=-7[/tex]

The common difference is -7.

The recursive formula for the nth term of the sequence is

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

Where, [tex]d[/tex] is the common difference.

Putting [tex]d=-7[/tex] in the above formula, we get

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

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

Therefore, the recursive formula for the nth term of the sequence is [tex]a_n=a_{n-1}-7[/tex].

help? please witt these 2

Answers

Answer:

C: x=6 D: x=2

Step-by-step explanation:

Hope this helps

A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff? Round your answer to the nearest tenth

Answers

9514 1404 393

Answer:

  267.9 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this geometry, the angle of depression is the angle of interest. The "adjacent" side of the triangle is the distance to the boat. The "opposite" side is the height of the cliff.

  tan(15°) = height/(1000 m)

  height = (1000 m)tan(15°)

  height ≈ 267.9 m

The cliff is about 267.9 meters tall.


Identify the y-intercept in y=-1/3x + 2

Hint: y = mx + b

1. -1/3

2. 2

3. -2/3

4. -2

Answers

Answer:

2

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    b = 2

Answer:

since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept

Can Someone Help Me. ? It’s Between A Or B

Answers

b option is the answer

I am sure

I think it is option b I’m not sure tho

The base of a right triangle is 12 cm and its area is 210 cm². What is the length of its hypotenuse?

Answers

Answer:

The length of the hypotenuse is 37cm

Step-by-step explanation:

we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.

a=1/2bh

210=1/2(12)h

210=6h

h=35cm

now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:

12^2+35^2=c^2

c^2=144+1225

c^2=1369

c=37

so, the hypotenuse is 37cm

The length of the hypotenuse is 21.22 cm

How to determine the hypotenuse?

The given parameters are:

Area = 210

Base = 12

Start by calculating the height using:

Height = Area/Base

This gives

Height = 210/12

Divide

Height = 17.5

The hypotenuse is then calculated using:

Hypotenuse = √(Base^2 + Height^2)

This gives

Hypotenuse = √(12^2 + 17.5^2)

Evaluate

Hypotenuse = 21.22

Hence, the length of the hypotenuse is 21.22 cm

Read more about right triangles at:

https://brainly.com/question/23814470

how many square feet is in a acre

Answers

43,560 is the answer
43560 square feet in an acre

What is the length of missing side X? Options are on photo
Help ASAP

Answers

Answer:

it should be 5 because its a rectangle

Answer:

x = 5cm

Step-by-step explanation:

Remember opposite sides of a rectangle are congruent

The opposite side of side "x" is equal to 5 cm therefore x = 5 cm

Important note! : The triangle does not change the side length as it is formed using it.

Help please and show the steps

Answers

9514 1404 393

Answer:

  4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

  (2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

  r(cos(θ) +i·sin(θ))   or   r·cis(θ)   or   r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

what does venerable mean​

Answers

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

One of the legs of a right triangle measures 6 cm and the other leg measures 17 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

18.0 cm

Step-by-step explanation:

[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]

[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]

[tex]hyp^{2} = 325[/tex]

[tex]hyp = 5\sqrt{13}[/tex]

[tex]= 18.028 cm[/tex]

6^2 + 17^2 = 325
Square root of 325 rounded is 18
Please give me Brainliest

{201-[68-(40/4)+(-8)+(70x2)]}

Answers

Answer:

{201-[68-(40/4)+(-8)+(70x2)]}

{201-[68-(40/4)+(-8)+140]}

{201-[68-10-8+140]}

{201-[68-18+140]}

[201-[50+140]}

{201-190}

11is your answer

A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe we use the Internet

Answers

Answer:

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A recent study of 750 Internet users in Europe found that 35% of Internet users were women.

This means that [tex]n = 750, \pi = 0.35[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841[/tex]

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Answer choices
50%
60%
65%
If you put a link I will report

Answers

Answer:

50%

Step-by-step explanation:

ZABC and ZQRS are supplementary angles,
If the measure of ZABC = 100°, what is the
measure of ZQRS?
mZQRS = [?]°

Answers

Answer:

Solution given:

<ABC+<QRS=180°[supplementary]

<QRS=180°-100°

<QRS=80° is your answer

1^12 multiplied by 3,268,584

Answers

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?

Answers

Answer:

vertical angles

Step-by-step explanation:

bc they are across from eachother

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