Final answer:
To find the x-intercepts of the equation y = x(0.4 - 0.008x), we need to solve for y = 0. This can be done by setting the equation equal to zero and solving for x.
Step-by-step explanation:
To find the x-intercepts of the equation y = x(0.4 - 0.008x), we need to solve for y = 0. This can be done by setting the equation equal to zero and solving for x.
0 = x(0.4 - 0.008x)
0 = 0.4x - 0.008x^2
0 = 0.4x - 0.008x^2
0 = x - 0.02x^2/0.004
0 = x - 0.02x^2/0.004
0 = x - 0.006x^2
This is a quadratic equation, so we can solve for the x-intercepts either by factoring, graphing, or using the quadratic formula.