ElectricPavlov

y = k/x²

x²y= k    =  2² *10 = 40

x² y = 40

x² (4000) = 40

x² = 1/100

x = 1/10

a1 + 3d  = 8      8-3d = a1

a1 = a2 - (a2 +d)      - a1 =  d    

8 - (3*-a1) =a1

                                                 8 + 3a1=a1

                                                 8 = -2a1

                                                 a1 = -4               d = 4  

-4   0    4     8

First auto has a   2 x 60 = 120 mile headstart

Closing speed of the second auto is  80 - 60 = 20 m/hr      it will take    120 m / 20 m /hr = 6 hours to catch the first auto

Multiply numerator and denominator by   sqrt (245)   to get

   6 sqrt 245 / 245    

a = 4 b

c = 2b-7

b                               summed = 180

4b       +      2b-7       + b   = 180      solve for b      then a = 4b      and   c = 2b-7

First ...expand the given equation to    a x^2   + b x  + c      form

   then the maximum will occur at   x = - b/ 2a

       use this value of 'x' in the equation to calculate the max value of the function.......

d = dimes           value = 10d

q = quarters = 36-d      value = 25 (36-d)         summed , these two = 420

10 d         +       25(36-d)         = 420     solve for d = the number of dimes ...then quarters = 36 - d

1 cent plus 5 cents + 10 cents = 16 cents     26 cents left and 9 coins left      On more dime    two more nickles and 6 more pennies

pennies   7

nickels     3

dimes       2   

x^2 > 1/2

x >  sqrt (1/2)     x < sqrt 1/2

sqrt .5 = .707  

from  .707 to 1     and from  -1 to -.707     is a total of .58579   out of a span of  2    = .293          29.3 %

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