Use the completing the square method rewrite f(x)= x^2-6x +2 in vertex form

y = (x - 3)² - 7

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Since the coefficient of the x² term is 1

add/subtract (half the coefficient of the x-term )² to x² - 6x

f(x) = x² + 2(- 3)x +9 - 9 + 2

     = (x - 3)² - 7

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

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225