CPhill

x^2 + 6x + y^2 - 4y   =  -c     complete the square on x  and  y

x^2 - 6x  + 9  + y^2 - 4y + 4  =  -c + 9 + 4

Note that if the radius is 4.....then the right side must  =  r^2  = 4^2  = 16

So

-c + 9 + 4   =16

-c + 13   =16

-c  = 3

c  = -3

Yep...you can complete the square and you will still get the same  "circle" equation that I got on the other problem....

No prob, Mathtoo....!!!

Using my earlier answer....we had  a circle  with a center  of   (7, 24)  and a radius of 25

So....the minimum x value  is at the point  ( 7 - 25 , 24)   = (-18, 24) 

So....the minimum x value is  -18

Thanks, guest....here's another way

(1/3) are red  =  30 *1/3  = 10 are red

So...20  are white

50% are 4 door   = 15  are 4 door

So    ....15 are 2 door

8 are 2 door  and white.....so 12 are 4 door and white  since we have 20 white total

And since 15 are 4 door  and 12 of these are white...then 3 must be 4 door and red

Here's my best attempt

The sum of the elements on row n of Pascal's triangle  = 2^n

So....in  base 10, we have

Log 2^n  =  

n Log 2  =  f(n)

And

f(n) / log 2   =    

n log 2  / log 2  =   

n

(10^9 - 1)!!  =   

1 * 3 * 5 * 7 *  ......* (10^9 - 3) * (10^9 -1)  =

The product of all the odd positive interegers  from 1 to 10^9 -1

This product is extremely large.....WolframAlpha  shows  

≈ 1.58084425021110638757272554931990100564787932540... × 10^4282852759

LOL!!!...we're just weird that way.....!!!!

4 / 353  = x  / 5698     cross-multiply

5698 * 4  = 353 * x

22792  = 353 * x      divide both sides by 353

≈ 64.6 (lbs)   =  x

Performing polynomial divsion...we have....

                ax      +  b

 x^3 - 2  [ ax^4   + bx^3  +   0x     +   3  ]

                ax^4                   -2ax

              _______________________

                            bx^3   + 2ax    +  3

                            bx^3                 -2b

                          ________________

                                       2ax  + (3 + 2b)

We  need to  have ax + b  = 2x  - 3

So

ax  +  b  =  2x  - 3

a =2   b = -3