5. Resolve into factors. a) 2x + 5x + 3
please do this

Hi there!

We can split into factors using the "guess and check" method.

Factors are in the format of:

(ax + b)(cx + d), where in this instance:

a · c = 2

bc + da = 5

b · d = 3

Thus, we get:

(2x + 3)(x + 1)

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