Sarah graphs the equations y=1/4 x^2 and y=-1/2 x+2 to solve the equation 1/4 x^2=-1/2 x+2 Her graph is shown below
What are the solutions?
Describe how you found your solution(s) on the graph using a complete sentence.

x = -4, 2

Step-by-step explanation:

¼x² = -½x + 2

x² + 2x - 8 = 0

x² + 4x - 2x - 8 = 0

x(x + 4) - 2(x + 4) = 0

(x + 4)(x - 2) = 0

x = 2, -4

On the graph, the solutions are the x-coordinates of the points of intersection

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

b

step-by-step explanation: