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
Okay, MaMpangazitha. Let's complete these tables. Problem 3: Complete the table for the rule P = 5q - 4. To complete the table, we will substitute each given q value into the rule P = 5q - 4 and calculate the corresponding P value. We will also find q when P = -64. Step 1: Calculate P when q = -2. P = 5(-2) - 4 = -10 - 4 = -14 Step 2: Calculate P when q = -1. P = 5(-1) - 4 = -5 - 4 = -9 Step 3: Calculate P when q = 0. P = 5(0) - 4 = 0 - 4 = -4 Step 4: Calculate P when q = 100. P = 5(100) - 4 = 500 - 4 = 496 Step 5: Find q when P = -64. -64 = 5q - 4 Add 4 to both sides: -64 + 4 = 5q -60 = 5q Divide by 5: q = (-60)/(5) = -12 Step 6: Complete the table with the calculated values. |c|c|c|c|c|c| q & -2 & -1 & 0 & -12 & 100 \\ P = 5q - 4 & -14 & -9 & -4 & -64 & 496 \\ Problem 4: Complete the table for the rule P = -q - 14. To complete the table, we will substitute each given q value into the rule P = -q - 14 and calculate the corresponding P value. Step 1: Calculate P when q = -2. P = -(-2) - 14 = 2 - 14 = -12 Step 2: Calculate P when q = -1. P = -(-1) - 14 = 1 - 14 = -13 Step 3: Calculate P when q = 0. P = -(0) - 14 = 0 - 14 = -14 Step 4: Calculate P when q = 100. P = -(100) - 14 = -100 - 14 = -114 Step 5: Complete the table with the calculated values. |c|c|c|c|c| q & -2 & -1 & 0 & 100 \\ P = -q - 14 & -12 & -13 & -14 & -114 \\ 3 done, 2 left today. You're making progress.