Select the correct answer.

[tex]\large\underline{\sf{Solution-}}[/tex]

Let us assume that:

[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]

We can also write it as:

[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]

Squaring both sides, we get:

[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]

[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]

By splitting the middle term:

[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]

[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]

[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]

Therefore:

[tex] \longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}[/tex]

[tex] \sf \longmapsto x = - 2,3[/tex]

But x cannot be negative.

[tex] \sf \longmapsto x = 3[/tex]

Therefore, the value of the expression is 3.

[tex]\large\underline{\sf{Verification-}}[/tex]

Given:

[tex]\sf\longmapsto x=3[/tex]

We can also write it as:

[tex]\sf\longmapsto x = \sqrt{9}[/tex]

[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]

This pattern will continue.

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]

Answer:

-3x-6

Step-by-step explanation:

you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6

Hello skm413002!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Apply the distributive property:

-3(x+2) =

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

By applying the distributive property, we can solve it as....

[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

A

Step-by-step explanation:

The graph is a line that goes through the points (1,-4) and (0,0)

Answer: No

Step-by-step explanation:

There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.

The answer is 6.8 minutes

Answer:

x = -2

Step-by-step explanation:

It's a vertical line at x = -2

Answer:

pot0tsafgxxgcgcycguchchcui

Answer:

gimmie my points boi

Step-by-step explanation:

eiurfh4iewurhfwo8rho

Answer:

you would need 32 boxes

Step-by-step explanation:

475/15 = 31.666

32 boxes

475/15=31.7 but you can't get 0.7 boxes so you would need 32 to carry all of the cannolis.

Answer:

4

Step-by-step explanation:

Answer:

y = -3/2x + 10.5

Step-by-step explanation:

You can plug in the x values and you'll get the y values of the table. Hope this helps :)

Answer:

your answer is A

I can assure you that you will give brainlest

Answer:

A

Step-by-step explanation:

Answer:

4hrs 7 minutes and 30 seconds

Step-by-step explanation:

1 7/8 = (1=60) + (7/8 * 60) = 1 : 52:50 time played with Tommy   1 3/4 = (1=60 ) ( (3/4 * 60) = 1:45:00 time played with Nathan   3/2 = (3/2 *60) = 90 = 1:30:00 time played with Chris    Total played with 3 friends = 1:52:50 + 1:45:00+1:30:00= 4:07:50 = 4hrs 7 minutes and 30 seconds

Answer:

A

Step-by-step explanation:

Answer:

The answer is (y=1/2x )

Answer:

$68÷8= x money per hour

Step-by-step explanation:

Answer: 1 is 534

Step-by-step explanation:

Answer:

x=11

m<a=80º

m<b=80º

Step-by-step explanation:

They are congruent so

8x-8=5x+25

8x=5x+33

3x=33

x=11

Answer:

Step-by-step explanation:

8x-8=5x+25

8x+5x=25--8

13x=33

x=2.5

x=3cm

Answer:

step 1, c

Step-by-step explanation:

he was wrong in step 1.

when factoring out (x-4) and (x-2), you have to distribute x*x, x*-2, -4*x, and -4*-2

if you do it you get x^2 - 2x -4x + 8

the correct way to factor will be (x-4)(x+2)

when you factor out you will get the original equation you started with.

Answer:

42 = 2*3*7

Step-by-step explanation:

42 can be rewritten as 2*21, for example.  

2 is prime.  21 = 3*7.

Then 42 = 2 * 21 is also equal to:

         42 = 2*3*7. where these factors are ordered from least to greatest.  The prime factors of 42 are {2, 3, 7}.

Answer:

C

Step-by-step explanation:

Answer:

6√5-4√15

Step-by-step explanation:

√5(6-4√3)

6√5-4√3*√5 division property

6√5-4√3*5 combining like terms

6√5-4√15

The answer is -9

I dont know the step-by-step used a calculator

Step-by-step explanation:

[tex]x-2>4[/tex]

[tex]x>6[/tex]

And

[tex]3x+1\leq 28[/tex]

[tex]3x\leq 27[/tex]

[tex]x\leq 9[/tex]

So [tex]x[/tex] ∈ [tex](6, 9][/tex]

Please give me a brainliest answer

Answer:

8/9 and 2/3

Step-by-step explanation:

find common factor with each of the numbers and divide by that

16 and 18, 2 is the gcf.

16/2=8   18/2=9

the gcf in the second one is 5.

10/5=2  15/5=3

Hope this helps!

Answer:

Flour: 18.76 Tablespoons

56.28 Teaspoons

1.17 U.S. Cups

Baking Powder: 0.35 Tablespoons

1.04 Teaspoons

0.02 U.S. Cups  

Sugar: 0.80 Tablespoons

2.40 Teaspoons

0.05 U.S. Cups

Butter: 2.82 Tablespoons

8.46 Teaspoons

0.18 U.S. Cups

Maple Syrup:

0.127 Cups

2.029 Tablespoons

6.087 Teaspoons

Milk:

0.169 Cups

2.705 Tablespoons

8.115 Teaspoons

Hope this helps!!

Have A Blessed Day <333

Answer:

5 1/4

Step-by-step explanation:

To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.

Answer:

99/5

Step-by-step explanation:

CONVERT INTO:

33/4 x 12/5

MULTIPLY THE FRACTIONS:

(33x12)

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

5

CANCEL TERMS:

(33x3)

-----------

5

SIMPLIFY:

99/5