ElectricPavlov

LCM of 3 and 5 is 15      multiiply through by 15 to get

10 x - 45 = 6     

9   *  5 C 2 = 90

36 possible rolls

 1   x

 4   x

  x  1

 x   4         where x = 1-6      less  the  1-1  4-4 counted twice    =    22 rolls out of 36

a) draw a vertical line at  x = -5  the y  value where this line crosses the graph is the answer

b) Where y values of the graph are > 0

c) the x values of the  3 points where the graph crosses the x-axis

Domain is the x values the graph can attain      -4

Range is the y values     from       -5

They need a total of  3 man  * 3 hours = 9 man hours to finish the job

at 2.55    they have completed    ( 1 + 55/60)  * 3 = 5.75  man hours     3.25 more to go

  now there are two working for 5 /60 hour         =    1/6 man hour         3  1/12 to go

    at 3:00 it will take Larry  3 1/12 hour to finish  =   6:05 pm

'TYPIGN'   is for  me   !    haha

Set each part = 0 and solve

4x+1 = 0

   4x = - 1

      x = - 1/4          which is <= 3      so it is a valid answer 

18 - 4x = 0

      - 4x = -18

          x = 18/4 = 4 1/2     which is >3     so it is a valid answer  too

Add 'em together.....

f(-2) =    n^2 - 2   =   2

f(2)  =      2n - 28  = - 24

2 + (-24) + f(a) = 0

f(a) = 22

n^2 - 2 = 22         a₁ =  - sqrt (24)

2n-28  = 22          a₂ =  5 

5  - ( - sqrt 24)     =    5 + sqrt 24

Rate 1 =    1 pool /40 hours                  rate 2 = 1 pool / 20 hours

now  

   1 pool / combined rate = ? hours  

                1 / ( 1/40 + 1/20) =    1 / ( 3/40)  = 40 / 3  hours =  13 hours 20 min  ~~ 13 hours