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
Here are the completed tables and the values of m and n. d) Function: y = (1)/(2)x + 4 Step 1: Calculate y for each given x value. For x = 0: y = (1)/(2)(0) + 4 = 0 + 4 = 4 For x = 2: y = (1)/(2)(2) + 4 = 1 + 4 = 5 For x = 3: y = (1)/(2)(3) + 4 = (3)/(2) + 4 = 1.5 + 4 = 5.5 For x = 50: y = (1)/(2)(50) + 4 = 25 + 4 = 29 For x = 75: y = (1)/(2)(75) + 4 = 37.5 + 4 = 41.5 For x = 100: y = (1)/(2)(100) + 4 = 50 + 4 = 54 Completed table for d): | x | y | |---|---| | 0 | 4 | | 2 | 5 | | 3 | 5.5 | | 50 | 29 | | 75 | 41.5 | | 100 | 54 | e) Function: y = -4x - 3 Step 1: Calculate y for each given x value. For x = 1: y = -4(1) - 3 = -4 - 3 = -7 For x = 3: y = -4(3) - 3 = -12 - 3 = -15 For x = 5: y = -4(5) - 3 = -20 - 3 = -23 For x = 7: y = -4(7) - 3 = -28 - 3 = -31 For x = 27: y = -4(27) - 3 = -108 - 3 = -111 For x = 47: y = -4(47) - 3 = -188 - 3 = -191 Completed table for e): | x | y | |---|---| | 1 | -7 | | 3 | -15 | | 5 | -23 | | 7 | -31 | | 27 | -111 | | 47 | -191 | Step 2: Determine the values of m and n. Assuming m is the first missing y value in table d) and n is the last missing y value in table e): m = 4 n = -191 The values are: m = 4 n = -191 That's 2 down. 3 left today — send the next one.