Which choice is equivalent to the fraction below when x is an appropriate value? 4/4-sqrt(6x)

Which Choice Is Equivalent To The Fraction Below When X Is An Appropriate Value? 4/4-sqrt(6x)

Answers

Answer 1

Answer:  Choice C)  [tex]\frac{8+2\sqrt{6x}}{8-3x}[/tex]

======================================

Work Shown:

[tex]y = \frac{4}{4-\sqrt{6x}}\\\\y = \frac{4(4+\sqrt{6x})}{(4-\sqrt{6x})(4+\sqrt{6x})}\\\\y = \frac{4(4+\sqrt{6x})}{4^2 - (\sqrt{6x})^2}\\\\y = \frac{4(4+\sqrt{6x})}{16-6x}\\\\y = \frac{2*2(4+\sqrt{6x})}{2(8-3x)}\\\\y = \frac{2(4+\sqrt{6x})}{8-3x}\\\\y = \frac{8+2\sqrt{6x}}{8-3x}\\\\[/tex]

This shows why choice C is the answer.

----------------

Notes:

If you have a+sqrt(b) in the denominator, multiply top and bottom by a-sqrt(b) which is the conjugate, and that will rationalize the denominator.In the second step, I multiplied top and bottom by 4+sqrt(6x) to rationalize the denominatorIn step 3, I used the difference of squares rule. In the step afterward, the square root is eliminated.

Related Questions

Find three consecutive odd integers such that the product of the second and the third integers is twenty-six more than three times the first integer.

Answers

Step-by-step explanation:

first number=x

second number=x+2

third number=x+4

(x+2)(x+4)=3x+26

x(x+4)+2(x+4)=3x+26

x²+4x+2x+8=3x+26

x²+6x+8=3x+26

x²+6x-3x=26-8

x²+3x=18

x²+3x-18=0

you can use that to find the numbers

Answer:

6, 8 and 10

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2, x+4

product of the second and the third integer

(x+2)(x+4)

twenty-six more than three times the first integer is expressed as;

3x + 26

Equate

(x+2)(x+4) = 3x + 26

x²+4x+2x+8 = 3x + 26

x²+6x +8= 3x+26

x²+3x +8-26 = 0

x²+3x-18 = 0

Factorize

x²-6x+3x-18 = 0

x(x-6)+3(x-6) = 0

x+3 = 0 and x-6 = 0

x = -3 and 6

The first 3 number is are 6, 8 and 10

8. A canteen sold 3 more bottles of pepsi than fanta. In all 16 bottles of drinks were sold. How many bottles of fanta were sold?​

Answers

5 bottles of fanta were sold

Answer:

6.5

Step-by-step explanation:

p = f + 3

f + p = 16

f + (f + 3) = 16

2f + 3 = 16

2f = 13

f = 6.5

I don't know how you sell a half a bottle, but the math is correct

7 of 8
The mean temperature for the first 7
days in January was 8°C.
The temperature on the 8th day was -1
°C.
What is the mean temperature for the
first 8 days in January?
°C

Answers

Answer:

6.875 degrees

Step-by-step explanation:

[tex]Total=7\times8=56\\56-1=55\\mean for 8 days=\frac{55}{8} =6.875 degrees[/tex]

If you have to multiply the previous number by 2 in the y intercept in order to receive the next number, what would the equation be?

Answers

Answer:

Jsjsjsjsjwjwksjsjjsisisiwiw

pls tell by step by step

Answers

Answer:

x = 50 degree

Step-by-step explanation:

x + 10 + x + x + 20 = 180 degree (being linear pair)

3x + 30 = 180

3x = 180 - 30

x = 150/3

x = 50 degree

the standard unit for measuring mass is the

Answers

Answer: Kilograms is the SI for mass

What are the two possible measures of the angle below?

Answers

Answer:

90 or -270

Step-by-step explanation:

please help me, it would be really nice

Answers

4 Options bc its correct ome

Find the missing side lengths. Round all answers to the nearest tenth.

Answers

Answer:

81

Step-by-step explanation:

90+25= 115

115 - 34 = 81

ANNNSWER PLZ 20 c rule

Answers

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

5m−2(m+3)+6/2  

=3m−4/2  

Step 1: Simplify both sides of the equation.

5m−2(m+3)+6/2  

=3m−4/2  

5m+(−2)(m)+(−2)(3)+6/2  

=3m+−2(Distribute)

5m+−2m+−6+3=3m+−2

(5m+−2m)+(−6+3)=3m−2(Combine Like Terms)

3m+−3=3m−2

3m−3=3m−2

Step 2: Subtract 3m from both sides.

3m−3−3m=3m−2−3m

−3=−2

Step 3: Add 3 to both sides.

−3+3=−2+3

0=1

Answer:

There are no solutions

Answer:

No solutions

Step-by-step explanation:

[tex]5m-2(m+3)+\frac{6}{2} =3m-\frac{4}{2}[/tex]

[tex]5m-2m-6+\frac{6}{2} =3m-\frac{4}{2}[/tex]

[tex]5m-2m-6+3 =3m-2[/tex]

[tex]5m-2m-3 =3m-2[/tex]

[tex]3m-3 =3m-2[/tex]

[tex]3m-3+3 =3m-2+3[/tex]

[tex]3m=3m+1[/tex]

[tex]3m-3m =3m- 3m+1[/tex]

0 = 1

No solutions


At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which
expression represents how much she will receive in commission from the sale?

Answers


At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. 569 (0.18) represents how much she will receive in commission from the sale.

plz answer fast i need the answers thank u​

Answers

Answer:

Step-by-step explanation:

(-5 , 2) here -5 is x coordinate and 2 is y coordinate since x coordinate is negative and y coordinate is positive it lies in II quadrant.

(2 , -5) here 2 is x coordinate whereas -5 is y coordinate and siince x coordiante is positive and y coordinate is negative it lies in IV quadrant.

(x^3 - 2)(x^2 + 11)

to find the degree of polynomial first u need to factor this out

x^3(x^2 + 11) -2(x^2 + 11)

x^3 * x^2 + x^3 * 11 - 2 * x^2 - 2 * 11

x^3+2 + 11x^3 - 2x^2 - 22

x^5 + 11x^3 - 2x^2 - 22

since the highest degree is 5 the degree of the polynomial is also 5.

Step-by-step explanation:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+119x+57

Answers

Answer:

Time required to hit the ground is 7.9 s.

Step-by-step explanation:

The height of the rocket is given by

[tex]y =- 16 x^2 + 119 x + 57[/tex]

For the time to hit the ground, put y = 0

[tex]-16x^2+119x+57=0\\\\16 x^2 - 119 x - 57 = 0 \\\\x = \frac{119\pm\sqrt{14161+3648}}{32}\\\\x = \frac{119\pm133.45}{32}\\\\t = - 0.45 s, 7.9 s[/tex]

Time cannot be negative, so time to hit the ground is 7.9 s.

What's the sign of (-4/9)(7/4)

Answers

Answer:

-7/9

Step-by-step explanation:

= (-4/9) x (7/4)

= -4/9 x 7/4

= -28/36 (simplifying gives -7/9)

2. If the sales tax on a $825 television set is 7%, how
much will you pay in total?


Please help!!Either question is fine!

Answers

Answer:

$882.75

Step-by-step explanation:

In order to calculate tax, you need to multiply the percentage by the purchase costs. First, start by finding the decimal value of the percentage.

7 ÷ 100 = 0.07 — Percentage converted to a decimal.

[tex]825 \times 0.07 = 57.75[/tex]

— The tax. Now, in order to find the whole price, the tax and retail price must be added together.

[tex]825 + 57.75 = 882.75[/tex]

As per linear equation, the amount I have to pay in total is $645.

The simplified value of the given expression is (8 - 17x).

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

1. Given, the cost of television is $825.

The sales tax rate is 7%.

Therefore, total price of the television is

= $[tex][825 + (\frac{825(7)}{100})][/tex]

= $[tex](825+57.75)[/tex]

= $[tex]882.75[/tex]

2. The given expression is:

[tex]-4(3x - 2)- 5x\\= -12x + 8-5x\\= 8-17x[/tex]

Learn more about a linear equation here:

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a rectangular swimming pool is 15 meters long, 12 1/2 meters wide and 2 1/2 meters deep. what is the pools volume?​

Answers

Answer:

468.75 Cubic meters

Step-by-step explanation:

15 x 12.5 x 2.5 = volume

187.5 x 2.5 = volume

468.75 = volume

Answer:

its 393.75 cubic meters

Step-by-step explanation:

I hope this helps

3. Which of the following equations has a center of (-4,7) and a diameter of 18?
(1) (x+4)*+(y – 7)' =3
(2) (x+4)* +(y-7)= 324
(3) (x+4)*+(y-7)=9
(4) (x+4)*+(y-7)* = 81

Answers

Answer:

option 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 4, 7) and r = 18 ÷ 2 = 9 , then

(x - (- 4) )² + (y - 7)² = 9² , that is

(x + 4)² + (y - 7)² = 81

PLEASE HELP ME!! its a pretty easy question

Answers

Answer:

V= 936m³

Step-by-step explanation:

Formula:

Volume = L * W * H

Volume1= L * W * H

= 16 * 9 * 6

= 864m³

Volume2= L * W * H

= 6 * 2 * 6

= 72m³

Add both volumes to get total volume.

= 864m³ + 72m³ = 936m³

Hope this helps!

Have a nice dayy! :)

The first file is the question, 2nd is the answer choices; this question has stumped me.

Answers

Answer:

ans: option b

Step-by-step explanation:

remember that,

For matrix addition or subtraction of two or more matrices must have same order and only operation done with corresponding elements,

if you find helpful make it brainlist

A1=3
An=2(an-1+1)
What's a2 a3 and a4

Answers

Answer:

a2 is a3 B is 2 and a4 is -2

Step-by-step explanation:

just math and more math

1+2+3+....+2012+2013

Answers

Answer:

Un=n(n+1)/2

U=2013(2013+1)/2

U=2.027.091

what fraction of 4000 is 800?​

Answers

Answer:

5

Step-by-step explanation:

Since it says the fraction, just divide 4000 by 800. So,

[tex]\frac{4000}{800}\\=>5[/tex]

That's it for the explanation. Hope it helped.

Can someone help me? It's urgent and thank you!

Answers

Answer:

480,700

Step-by-step explanation:

C(25,7)

25!/(7!*(25-7)!)

15511210043330985984000000/(6402373705728000*5040)

480700

Which is equivalent to 64 1/4? A. 2(4 square root 4) B. 4 C. 16 D. 16 4 square root 4 (Look at image please)​

Answers

Answer:

The answer is A

Step-by-step explanation:

64¼ = (2⁶)^¼ so 2^⅔.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:2 \sqrt[4]{4}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {64}^{ \frac{1}{4} } \\\\ = \sqrt[4]{64} \\ \\ = \sqrt[4]{( {2})^{2} \times( {2})^{4} } \\\\ = 2 \sqrt[4]{ ({2})^{2} } \\ \\= 2 \sqrt[4]{4} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

1
Solve these simultaneous equations using the elimination method

4x + y = 23
x + y = 8​

Answers

Answer:

y= 3, x= 5

Step-by-step explanation:

4x+y=23

-x-y=-8

3x/3=15/3

x=5

for y

x+y=8

5+y=8

y=8-5

y=3

x=5

y=3

Solve the simultaneous equation:
8d - 4e = 28
6d + 3e = 3​

Answers

Answer: d=2 and e= -3

Step-by-step explanation:

(8d-4e=28)*3 => 24d-12e=84

(6d+3e=3)*4 => 24d+12e=12

24d+24d-12e+12e=84+12

=> 48d=96

=> d=2

d=2 => 8*2-4e=28

=> e= -3

PLEASE HELP DUE TOMORROW

you dont need the other part its just the same question but different

Answers

Answer:

for the firt one the patters is +6  +7   +8    +9  

Step-by-step explanation:

Look at the rectangle and the square:


A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches

Sam says that the length of diagonal SQ is two times the length of diagonal OM.


Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.


(Sorry for the low quality image)

Answers

Answer:

Sam is incorrect

Step-by-step explanation:

We can calculate the lengths of the diagonals using Pythagoras' identity.

The diagonals divide the rectangle and square into 2 right triangles.

Consider Δ SRQ from the rectangle

SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )

SQ = [tex]\sqrt{180}[/tex] ≈ 13.4 in ( to 1 dec. place )

Consider Δ ONM from the square

OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )

OM = [tex]\sqrt{72}[/tex] ≈ 8.5 in ( to 1 dec. place )

Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4

Then diagonal OM is not twice the length of diagonal SQ

A partial listing of monthly startup costs for a store includes $2,750 for rent, $479 for electricity, $217 for telephone and Internet service, $9,423 for employee salaries, $250 for cleaning service, and $100 for supplies. What percent of your monthly startup cost is rent?

Answers

Answer:

I think it is 20.8%

Step-by-step explanation:

The percentage of rent in the monthly startup cost is 20.8%

What is percentage?

A part of a whole expressed in hundredths. In percentage we equate the total with hundred and find the sum.

The formula of percentage is (Y/X)×100 = P%, where "X" is total , "Y" is the individual number of which we want to find the percentage and "P" is the percentage value.

According to the formula,

X ⇒ $2,750 + $479 + $217 + $9,423 +  $250 + $100 = $13,219

Y = $2,750

P = (Y/X)×100

2750/13219 =0.20803

0.20803×100=20.80%

Thus the percentage of the rent in the total monthly startup cost is 20.80%

To know more about percentage here

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Can somebody help I’ll give brainless plss

Answers

Answer:

$93.22

Step-by-step explanation:

bill = $79

tip = 18%

tip amount = tip % of bill

=18/100 * $79

=$1422/100

=$14.22

total cost = $79 + $14.22

=$93.22

Answer:

93.22

Step-by-step explanation:

Find the amount of the tip

79*18%

79 * .18

14.22

Add this to the amount of the bill

79+14.22

93.22

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