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-2(3x+9)=24

-6x - 18 = 24    add 18 to both sides of the eq

-6x = 42           divide by -6 both sides

x = -7

Yes....   divide by 3     to get   21/33   and again to get   7/11

What does th '  ^  '   before the  3  mean?

% is called "percentage sign", which comes from Latin, meaning " per 100". So, if you walk into your local Bank and you see a sign that says will pay you "5%" interest, that means that for every hundred dollars you have in the Bank, they will pay you $5.00, generally, every year.

Sqrt(108) =10.4 cm.

WHATS 15% OF 178.88

15% means: 15/100=0.15, then just multiply:

0.15 x 178.88 =26.832

Use Heron's formula:

=234 cm^2

That equals 711730 if that's what you are asking

I still don't understand it. And i'm having a lot of trouble with b.

thanks CPhill.

3/(x-4)=-1/(x+3)      cross-multiply

3(x + 3)  = -1 ( x - 4)    simplify

3x + 9 =  -x + 4        add x to both sides, subtract 9 from both sides

4x = -5               divide both sides by 4

x = -5/4

greeting Omi 67

Let N be the shorter side of Sam's TV screen

Then the longer side will be (4N/3)

Then, by the Pythagorean Theorem, we can solve this equation for N

N^2 + (4N/3)^2 =  55^2  

And    N  = 33  in     And the longer side  = (4 *33 / 3)  =  44 in

So.......the dimensions of Sam's set =  33 in x 44 in

Let M be the shorter side of Pete's TV screen

Then, the longer side will be (16M/9)

And, using the same logic we have

M^2 + (16M/9)^2   = 55^2     and  M≈26.964 in    And the longer side  ≈  (16 * 26.964 / 9) ≈ 47.936 in

So.....the dimensions of Pete's set = 26.964 in  x 47.936 in

The area of Sam's screen  = (33 * 44)in^2 =  1452 in ^2

And the area of Pete's screen  = ( 26.964 * 47.936)  in^2 =  1292.55 in^2

So....in terms of area.........Sam has the bigger screen

Aspect ratio = W : H  = 96 : 64  =  3 : 2

Is (x+1) (x+1) (x-1) the least common denominator?? Cant I just multiply everything by (x+1) ?

 [ 12 ± √140]  / 2   =

[12 ± √ (35 * 4) ]  / 2   =

[ 12 ± 2√35 ] /  2  =

6 ± √ 35

x^3+3x=47     subtract 47 from both sides

x^3 + 3x - 47  = 0          this will not factor

Here are the solutions provided by WolframAlpha : https://www.wolframalpha.com/input/?i=x%5E3+%2B+3x+-+47+%C2%A0%3D+0

x ≈ 3.3323

x ≈ -1.6662 + 3.3657 i

x ≈ -1.6662 - 3.3657 i

111000(1+.031/12)^(12)(19)

111,000(1+ 0.0025833)^228

111,000(1.0025833)^228

111,000 x 1.8008171

$199,890.70

etc 

8[20-(5-9)²]  =

8 [ 20 - (-4)² ]   =

8 [ 20 - 16]  =

8 [4 ]  =  

32

I'm assuming that you want the side of a square whose area = 64 ft^2....if so.....just take the square root of this =   8 ft

6 / 121  =    

( 3 * 2)  / (11 *  11)       since nothing "cancels".........the original fraction is in simplest form.....

(2x)/(x^2-1)= (4x^2+6x-6)/(x^3+x^2-x-1) - (1)/(x+1)  simplify

[2x] / [ (x + 1) (x - 1) ]  =  [ 2 (2x^2 + 3x -  3)] / [ x^2 ( x + 1) - 1 (x + 1)] - (1) /(x + 1)

[2x] / [ (x + 1) (x - 1) ]  =  [ 2 (2x^2 + 3x -  3)] / [ (x^2 - 1) (x + 1)] - (1) / ( x + 1)

[2x] / [ (x + 1) (x - 1) ]  =  [ 2 (2x^2 + 3x -  3)] / [ (x - 1) (x + 1) (x + 1)] - (1) / ( x + 1)

Multiply through by the common denominator of (x - 1) (x + 1) (x + 1)

2x (x + 1)   = [2 (2x^2 + 3x - 3 ) ]  -  [(x - 1) (x + 1) ]    simplify

2x ^2 + 2x   = (4x ^2 + 6x - 6)  - [x^2 - 1) ]

2x^2 + 2x  = 3x^2 + 6x - 5

x^2 + 4x - 5   = 0     factor

(x + 5) (x - 1)   =  0      set both factors to 0

x + 5  = 0    →   x = -5   is one possible solution

x - 1  = 0  →    x = 1   is another possible solution

However........we must reject the second solution because it causes two of the denominators in the original problem to = 0 

So.......the only solution is    x  = -5

Correction to my previous answer....the real root occurs at  x ≈ -1.1958

 y=(6x-2)/(2x+2)   we can simplify this to:

y = [2 (3x - 1) ]  / [ 2 ( x + 1]   =   [3x - 1 ] / [ x + 1 ]

The graph will have a vertical asymptote at x = -1

And.....it will have horizontal asymptote at y = 3

The domain  is  all  x  except  -1

The range is all y except  3

As x increases without bound to the right and left, the function approaches  y = 3

Here's the graph :  https://www.desmos.com/calculator/kh5zyya04d

From the graph, I believe that the parent function  is    -1/x     [ I am not sure about this  !!!   ]