X+3 divided by X2 + X-6

=1/(x-2)

Step-by-step explanation:

X+3 divided by X2 + X-6

= [x + 3] / [ x^2  + x  - 6]

factor the denominator

We can use the X-method of factoring the trinomial.

so.

x^2  + x - 6 =  ( x +3)(x - 2)    since   3*-2 = -6 and 3 - 2 = 1

so

= [x + 3] / [ x^2  + x  - 6]

=(x + 3)/(x + 3)(x - 2)

= 1/(x-2)

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

246

step-by-step explanation: