X^2+ 14x = -33
Quadratic equation

x = -3, -11

Step-by-step explanation:

First, factor

Get all the terms on one side by adding 33 to both sides:

now, you want to find two numbers that add up to 14 and multiply to 33.

those numbers would be 3 and 11.

so you can then make it:

you know that either x + 3 or x + 11 = 0,

so you can say:

x + 3 = 0

x = -3

ork

x + 11 = 0

x = -11

so x = -3, -11.

For further info you can go to: bit. ly / khanacademyquadratics

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

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step-by-step explanation: