ElectricPavlov

Here is a graphical solution (a bit easier in this case !)

If you use 123  234  345 456 567 678  789    GCF=3

    if you include  890   gcf=1

Kelly drove  9 +12 miles =21 miles

This took this amount of time:

  21 miles/  42miles/hr = 1/2 hr = 30 minutes

Brenda drove  sqrt(9^2 + 12^2) = 15 miles

 This took this amount of time:

   15 miles / 45 miles/hr = 1/3 hr = 20 minutes

So Brenda arrived  30 -20 = 10 minutes before Kelly

2 3 5 7 go into 1050

t = number of tickets

70 - (t-60) = price of tickets

t (70-(t-60)) >4200

t(-t +130) > 4200

-t^2 + 130t -4200 > 0

t^2-130t+4200< 0          Use Quadratic formula to find zeroes at t = 60    70

When t = 60       Sales 4200  

    When t = 70    sales = 4200      The question asks for the greatest number to be MORE than 4200       that would be when  t = 69   Sales= 4209

Here is a graph:

468/2  + 37  =

True!   I just used 'print screen' to transfer the answer....once I 'posted' it,I too had to use the 'zoom' to actually read it !     Just trying to provide a broad educational eperience !   Haha

Using your graph, I get 8.45 units ^2     (did you forget to multiply by 1/2 ?) 

1/2 x b x h = area

Melody = BEST answer !

Let x = g^2   substitute

x^2 + 12x   + 9       'complete the square)

(x+6)^2   - 36  + 9

(x+6)^2  - 27                Substitue   g^2 = x

(g^2 +6)^2 - 27          q = -27