CPhill

(2x^3-3x^2+2x-4)

         (x-3)

Polynomial long division is the way to go here, katie-leigh

             2x^2     +    3x        + 11

x - 3     [2x^3    -     3x^2     + 2x    -  4]

             2x^3   -      6x^2

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

                              3x^2    + 2x

                              3x^2    - 9x

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

                                           11x   -  4

                                           11x   - 33

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

                                                      29

So   the answer is     2x^2 + 3x + 11   remainder  29 / [ x- 3]

Here's a graph that confirms Spawn's answers : https://www.desmos.com/calculator/ejqz7w60vs

Note that there are 3 possibilities for the first seat.........and, for the other 5 seats, we can arrange the people in 5! = 120 ways.......

So

3 x 5!   =   3 x 120   = 360  ways

5ab+4a-b-2b+5b   simplify

5ab +4a - 3b + 5b  =

5ab + 4a + 2b    ......that's all we can really do.....

Nice work, Nauseated......I looked at this one...but...I found myself, here, only after a short few minutes :

I also asked for some help from that damned Sisyphus.....

But.....these days....it's useless......he has "zero" on his mind and is a complete rockhead......

Nice work, Melody.....I have a little different approc\ach......but...it should still work out the same

The total area can be found by the trig "formula"

500  = 8*(1/2)(radius)^2 *sin (45)

500 = 4 * (radius)^2 * [1 / √2]

500 = (4/√2) * (radius)^2

125√2  = (radius)^2   take the square root of both sides

√ [125√2]  = r ≈  13.2957  ft   ≈  13.3 ft [rounded]

And using the Law of Sines, (1/2) the side length, s, is given by

(1/2)s / sin (22.5)  = √ [125√2] / sin(90)

s = 2*sin(22.5) *√ [125√2]   ≈    10.176 ft  ≈ 10.18  ft [rounded]

And using the Law of Sines, again, we can find the apothem, a, as :

a / sin(67.5)  =  √ [125√2] / sin(90)

a = sin(67.5)* √ [125√2]  ≈ 12.28 ft

-3x+3y=-3     divide everything by -3   →  x -  y   = 1   add y to both sides →  x = 1 + y      (1)

9x-12y=-18    (2)

Subbing (1)  into (2), we have

9(1 + y) - 12y  = - 18    simplify

9 + 9y  - 12y   = -18

9 - 3y   = -18       subtract 9 from both sides

-3y    = -27        divide both sides by -3

y = 9

And using (1)  .....  x = 1 + y   =  1 + 9   = 10

500=L((0.0239/12)/(1-(1+(0.239/12)^-60

Multiply both sides by (1-(1+(0.239/12)^-60

500 (1-(1+(0.239/12)^-60  =  L((0.0239/12)

Divide both sides by ((0.0239/12)

500 (1-(1+(0.239/12)^-60 / ((0.0239/12)  = L

P.S. -  you have mis-matched parentheses, so it's hard to tell exactly what "L" might be

tan (58) =  50/x      multiply both sides by x, divide both sides by tan(58)

x = 50 / tan(58)  = about 31.24      [assuming "58"  is degrees ]

x y  = 11       

x - y = 5  

So 

x²y - xy²  =   [factor]

xy ( x - y)  =

11 (5)   =

55