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: Understand the relation and the given table. The relation is y = x^2 - 4x - 21. We need to complete the table for x values from -4 to 8. Step 2: Calculate the missing y values using the given relation. • For x = -2: y = (-2)^2 - 4(-2) - 21 = 4 + 8 - 21 = 12 - 21 = -9 • For x = -1: y = (-1)^2 - 4(-1) - 21 = 1 + 4 - 21 = 5 - 21 = -16 • For x = 2: y = (2)^2 - 4(2) - 21 = 4 - 8 - 21 = -4 - 21 = -25 • For x = 3: y = (3)^2 - 4(3) - 21 = 9 - 12 - 21 = -3 - 21 = -24 • For x = 5: y = (5)^2 - 4(5) - 21 = 25 - 20 - 21 = 5 - 21 = -16 • For x = 6: y = (6)^2 - 4(6) - 21 = 36 - 24 - 21 = 12 - 21 = -9 • For x = 7: y = (7)^2 - 4(7) - 21 = 49 - 28 - 21 = 21 - 21 = 0 Step 3: Complete the table with the calculated values. |c|c|c|c|c|c|c|c|c|c|c|c|c|c| x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ y & 11 & 0 & -9 & -16 & -21 & -24 & -25 & -24 & -21 & -16 & -9 & 0 & 11 \\ The completed table is shown above. That's 2 down. 3 left today — send the next one.