30 POINTS!!! Which choice is equivalent to the fraction below when x is greater than or equal to 3?

Answers

Answer 1

Answer: C.

[tex]\frac{9}{\sqrt{x} -\sqrt{x-3} }=\frac{9(\sqrt{x} +\sqrt{x-3} )}{x-(x-3)}=\frac{9(\sqrt{x} +\sqrt{x-3} )}{3}=3(\sqrt{x} +\sqrt{x-3})[/tex]

Step-by-step explanation:

Answer 2

The given fraction is equivalent to [tex]3(\sqrt{x}+\sqrt{x-3})[/tex]. Then the correct answer is option C.

What is rationalization?

The elimination of radicals from an algebraic fraction's denominator is known as root rationalization in elementary algebra.

Rationalizing the given expression to get the solution.

[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9}{\sqrt{x}-\sqrt{x-3}}\times \dfrac{\sqrt{x}+\sqrt{x-3}}{\sqrt{x}+\sqrt{x-3}}[/tex]

[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{(\sqrt{x})^2-(\sqrt{x-3})^2}[/tex]

[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{({x})-({x-3})}[/tex]

[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{3}={3(\sqrt{x}-\sqrt{x-3}[/tex]

Hence, the correct answer is option C.

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Related Questions

HELPPPP ITS VERY URGENT !!!!

Answers

Answer:

Step-by-step explanation:

Oliver has a starting balance of $294.02. He writes a
check for $92.18 for new clothes, takes $20 out at the
ATM maching, and deposits a check from his Aunt
Sally in the amount of $50. Oliver needs to write a
check for $250 for his share of the rent. He does not
have enough money in his account! How much
money does Oliver need to have enough to write the
$250 check?

Answers

Answer:

$18.16

Step-by-step explanation:

10000+10010= what is the answer

Answers

Answer:

20010

Step-by-step explanation:

10000+10010=20010

Answer: 20010

Step-by-step explanation:

3 bags of dog treats for $7.38. What is the cost per bag of dog treats

Answers

Answer:

each bag cost $2.46

Step-by-step explanation:

you divide 7.38 by 3

Answer:

$3.14

Step-by-step explanation:

What number is composite 19,23,33,37,

Answers

Answer:

Step-by-step explanation:

33 can be divided evenly by numbers other than one or itself

A child got 16.67/20 on a test. what is their grade in percent form?

Answers

Answer:

83.4% or 83%

Step-by-step explanation:

when trying to find a percent, divide the numerator (# of correct answers) by the denominator (# of total questions possible to get correct)

Which would be 16.67 divided by 20 which equals .8335. Move the decimal point over two placements which would be 83.35. I rounded it up to 83.4. If trying to find a whole number not a decimal it would be 84%. Depending on the grading scale, it would be a B.

Find the difference

Answers

Answer:

Step-by-step explanation:

your answer would be -9

Answer:

-9

Step-by-step explanation:

James completed 18 math problems. This is 30% of the problems he has to do. How many total math problems must he complete to be done?

Answers

Answer:

60 = n

Step-by-step explanation:

This problem can be rewritten as:

18 is 30% of what?

% means "out of 100" and of means "multiply"

18 = 30/100 ⋅ n

100/30 ⋅ 18 = 100/30 ⋅30/100 ⋅ n

1800/30 = 100/30 ⋅ 30/100 ⋅ n (both the 30/100 and 100/30 are crossed out here)

60 = n

Ryan must do a total of 60 problems

Having done 18 problems already he has 42 remaining.

Answer:

to many

Step-by-step explanation:

PLEASE HELP AS FAST AS YOU CAN❗❗❗
The total amount of sap y (in ounces) collected from a tree after x weeks is represented by the equation y = 3x + 8. How much more total sap is there after 5 weeks than after 4 weeks?

Answers

x=weeks to get your answer you need to solve y=3(5)+8 which is y=23 and y=3(4)+8 which is y=20. so then you do 23-20 and that equals 3. the answer is 3...i hope this is right!!

3 ounces more sap is there after 5 weeks than after 4 weeks.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the total amount of sap y (in ounces) collected from a tree after x weeks is represented by the equation y= 3x + 8.

Here, x=4 and x=5 is given

When x=4, we get

y=3(4)+8

= 20

When x=5, we get

y=3(5)+8

= 23

Difference=23-20=3 ounce

Therefore, 3 ounces more sap is there after 5 weeks than after 4 weeks.

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A beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

Answer:

31.4

Step-by-step explanation:

Answer:

523.33 cubic inches

Step-by-step explanation:

17 Find the volume of the figure below. (1 Point) V = luh

Answers

Answer:

sorry I wish I could help but I'm stupid

If 10 minutes talk-time costs $2, how much will 7 minutes cost?

A) $1.40
B) $1.04
C) $1.34

Answers

the answer is A) $1.40

Answer:

Step-by-step explanation:

10=2

7=Xthen

10x=14,we divided both side by 10and we get

1.4$

How would you write TEN MORE THAN A NUMBER as an algebraic expression???
Plz help I need it for today!!!

Answers

Answer:

x+10

Step-by-step explanation:

Answer:

x+ 10

Step-by-step explanation:

we can take the number as x

and therefore

x+10

I think I know the answer but just to be sure what is 81 + 1/2

Answers

Answer:

81.5

Step-by-step explanation:

please helppppppp.
5
15
32
40

Answers

Answer:

just use the 10's btw

Step-by-step explanation:

Answer:

I think it's 15 sorry if im wrong

Step-by-step explanation:

One less than the product of 3 and a number is 11.

Answers

i put that by accident

Find the value of x.
a. 96
b. 84
c. 276
d. 264

Answers

Answer:

The answer is a. 96

Step-by-step explanation:

53+31+x=180

84+x=180

(84-84)+x=180-84

x = 96

y - 15 = 3x
-2x + 5y = -3

Answers

Answer:

y=3x+15

y=-3/5+2x/5

Step-by-step explanation:

I think this is what you wanted? I wasn't sure..

In order to lure new customers to a credit card, a bank is offering an initial cash back award, plus cash back amounting to a percentage of the value of all purchases made with the card. If p is the value of all purchases made with the card and c is the amount of cash back, which of these equations does the graph represent?

Answers

Answer:I think is A

Step-by-step explanation:

Answer:

A. c = 0.03p + 150

Step-by-step explanation:

I took the test and correct

Can someone order these from least to greatest? Pls ill give brainliest

Answers

-20

-2.01

-1.001

1.001

1.01

2.10

100

Eu nao sei sb sou burro e vim procurar ajuda mais n estou conseguindo nessa aq

Answers

Answer:

all of em

Step-by-step explanation:

Idk this sorry I can’t help

In an experiment, the probability that even A occurs is 0.2 and the probability that event B occurs is 0.5. If A and B are independent events, which statement is true?

A.
P(A and B) = 0.1

Answers

Answer:

oop

Step-by-step explanation:

The probability of event A and event B will be 0.10. Then the correct option is A.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In an experiment, the probability that event A occurs is 0.2 and the probability that event B occurs is 0.5.

If A and B are independent events. Then the probability is given as,

P(A and B) = P(A) x P(B)

P(A and B) = 0.2 x 0.5

P(A and B) = 0.10

The probability of event A and event B will be 0.10. Then the correct option is A.

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The missing options are given below.

A. P(A and B) = 0.1

B. P(A or B) = 0.1

C. P(A and B) = 0.7

D. P(A or B) = 0.7

-6x - 2y = 8
Y = 5x + 4
a. (1,-1)
b. (0,4)
c. (-1, 1)
d. (-1,-1)

Answers

Answer:

Step-by-step explanation:

Algebra 2 work please help .

Answers

Answer:

Angles 5 & 8 will be the same as the top.

Angles 1, 4, 5 and 8 equal the same.

Angle 8 = 115°

How do you write 350% as a fraction or mixed number?

Answers

Answer:

3 50/100 or 3 1/2

Step-by-step explanation:

Each 100% is one, so that would equal 3. There would be 50% left, and that would be 50/100 or 1/2.

Use intercepts to graph the linear equation -1/2x+y=-4

Answers

Do you need to switch it around or do something else?

in y=mx+b format the equation is y=1/2x-4. you need to mark -4 on your graph then go up one unit then over two units. then continue to go up 1 over 2 until you get your line

Please hurry do this quickly. Thank you.

Answers

Answer:

The answer is A ur welcome

Step-by-step explanation:

msp:TeddyBearTed soooo hiiiiii ummmmmmm immm weeiirrrdddd

Answers

Answer:

lol tho :) hehe

Step-by-step explanation:

Answer:

wsp u bored to

Step-by-step explanation:

What is the hypothesis and conclusion of the following statement?

"If a polygon is a pentagon, then it has five sides."

Hypothesis:

Conclusion:

Answers

Answer:

hypothesis-a polygon js a pentagon conclusion-it has five sides

your friend claims that it is possible to draw a parabola through any two points with different x coordinates. Is your friend correct? explain your answer

Answers

9514 1404 393

Answer:

yes

Step-by-step explanation:

In general, a (vertical) parabola can be drawn through any 3 non-collinear points having different x-coordinates. For any given pair of points, there are an infinite number of points that are non-collinear with them.

An infinite number of parabolas can be drawn through two points. Your friend is correct.

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