ElectricPavlov

Wouldn't just two colors do it?

Equation of the line is     y = x+1

the shaded area is everything GREATER than this line but NOT including the line (because it is dashed)

so

y > x+1

cross multipy the R side to get   [ a(x+1)  + b(x-2) ] / [(x-2)(x+1) ]

Now you can equate the numerators of both sides of the equation

4x+13 = ax+a   + bx-2b        and now you can equate   the 'x' components coefficient and the constant

4 = a+b

13 = a-2b 

solve the simple system of red equations to find      a = 7 and   b = -3

Total Height of the rectangle (which represents the property) is   21 + x + x = 21 + 2x

Width = 39 + x + x = 39 + 2x      (or   2x + 39)

Area = Height * Width    =

(2x+21) * (2x+39)   = 4x^2 +120x + 819

d =  #dimes                     value = 10d

q = quarters = (50-d)       value = 25(50-d)            summed  = 800

10d    +   25(50-d)    = 800           solve for 'd' the number of dimes      then # quarters = 50 - d

1/(9L)   = 4     L = 1/36

1/(6s)   = 8     s =  1/48

1/ (  (4/36) + (8/48) )  = 1/t

1 / ( 16/144 + 24/144) = 1/t

1/ (40/144) = 1/t

t = 3.6 hrs

From 1st eq     b =   (1-a)/2

From 3rd eq     c = 7-2a            sub these into second equation

(1-a)/2   + 14-4a = 3

1-a        + 28-8a = 6

29 -9a = 6

a = 23/9

b= -14/18 = -7/9

c= 17/9

Multiply the L term of the equation by    (  4+sqrt15) / (4+sqrt15) 

 to get     (4+sqrt15)^2 / (1) 

Mutiply the next term be               (4-sqrt15)/ (4-sqrt15) to get

  (4-sqrt15)^2 / (1)  

then you have

16 +8 sqrt 15  + 15            + 16 - 8sqrt15 +15    =   62 + 0 sqrt15

f(x) would be   2x^3 + 7/2 x² + 3x + c  

                 when x = 0         this should equal 5        so  c = 5

I hope this helps....not sure what the function rule is.....  

This is NOT a right triangle ....so you'll have to  use the cos law

c^2 = a^2 + b^2 - 2ab cos x

7² =10² + 8² - 2 (10)(8) cos x        solve for cos x