ElectricPavlov

A car gets 12 mph uphill and 24 mph downhill.      <===== I suppose you mean  mpg   and not  mph ....

the car uses 48 /12 = 4 gallons up hill 

   PLUS   48 / 24 = 2 gallons downhill 

     total   96 miles    6 gallons       96 mi / 6 gal = 16 mpg 

Simply multiply the two dimensions :

84 in  X   50 in   =  4200 in²

3x^2+4x-9 = 2x^2-6x+1    putting all of the terms on the left side results in:

x^2 + 10x -10  = 0 

  Use Quadratic Formula    with     a = 1     b = 10     c = -10 

   to find roots            -5 - sqrt (35)          and            -5 + sqrt (35)            squaring these:

                              25 + 10 sqrt35 + 35               25  - 10 sqrt 35  + 35 

                                     summed = 120 

If  - 7  is a root....putting in  -7   for 'x'   will result in the equation = 0       Putting all of the factors on the LEFT side:

x^2 + x ( b-4) -42 = 0 

(-7)^2 + (-7) (b-4) - 42 = 0 

49 - 7b + 28 - 42 = 0

35 = 7b 

b = 5 

1234

2345

3456 

4567

5678

6789

789 10

8 9 10 11

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.

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16 17 18 19              looks like 16 sets to me

17 18 19 20 =116280  ====  too big

Not sure what the question is....but maybe you want the hive to flower distance?

20 - 16 = 4 minutes of flying time .

distance / rate = time     or     rate * time = distance 

                                                9 *x  = distance              where 'x' = time at 9 ft/s

                                                6 ( 4-x)  = distance                these are equal 

                                                     9x = 6 (4-x) 

                                                      9x = 24 - 6x 

                                                       15x = 24 

                                                         x = 1.6 minutes at  9 ft/s           then distance = 9 ft/s * 1.6 min * 60 s / min = 864 feet 

Yah !    Funny..... I immediatly thought the same thing ! 

Maybe   aaa, bbb, ccc  ?     like 111 000 222   maybe?

The equation of the line is   y = 1/2 x -1 

the shaded area is LESS than the line....and does not include the line ( because it is shown as a dashed line)  ...so not equal to the line, just <   , so 

    y < 1/2 x -1       

Put in y = -3   into the first equation to get : 

-3 = x^2 -7x+ 7     then 

x^2 -7x + 10 = 0      now you can factor to find 'x' values or use the Quadrtatic Formula 

(x-5)(x-2) = 0      shows 'x' values of 5 and 2       the sum would then be   7