This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the coordinates of point B. The curve has the equation y = 2x(3-x). It crosses the x-axis at O and B. To find the x-intercepts, set y=0: 2x(3-x) = 0 This gives x=0 or 3-x=0 x=3. Since O is the origin (0,0), point B must be the other x-intercept. The coordinates of point B are (3,0). Step 2: Interpret the information about the straight line and point D. The problem states: "A straight line, which crosses the y-axis at the point B with coordinates $(0,5