Answer:
x = -3
Step-by-step explanation:
Given expression is,


(4x - 6) - 4x² = -2x(2x - 3)
4x - 6 - 4x² = -4x² + 6x
4x - 6 = 6x
6x - 4x = -6
2x = -6
x = -3
50 ounces of 15% saline solution contains 0.15*50 = 7.5 ounces of salt.
Let x be the amount of pure water you add to this solution. Then you end up with (x + 50) ounces of this new solution. The amount of salt stays the same.
You want the new solution to have a concentration of 10%. This means you need
7.5 / (x + 50) = 0.1
==> 7.5 = 0.1(x + 50)
==> 7.5 = 0.1x + 5
==> 2.5 = 0.1x
==> 2.5/0.1 = 0.1x/0.1
==> x = 25
Y int is where the line crosses y axis....so it is 4.
the slope is -2