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
To find the table of values for the expression 3x^2 - 5x - 7, we need to choose a range of x values and calculate the corresponding y values. Since no specific range is given, we will use integer values for x from -3 to 3. Step 1: Define the function. Let y = 3x^2 - 5x - 7. Step 2: Calculate y for each chosen x value. • For x = -3: y = 3(-3)^2 - 5(-3) - 7 = 3(9) + 15 - 7 = 27 + 15 - 7 = 42 - 7 = 35 • For x = -2: y = 3(-2)^2 - 5(-2) - 7 = 3(4) + 10 - 7 = 12 + 10 - 7 = 22 - 7 = 15 • For x = -1: y = 3(-1)^2 - 5(-1) - 7 = 3(1) + 5 - 7 = 3 + 5 - 7 = 8 - 7 = 1 • For x = 0: y = 3(0)^2 - 5(0) - 7 = 0 - 0 - 7 = -7 • For x = 1: y = 3(1)^2 - 5(1) - 7 = 3(1) - 5 - 7 = 3 - 5 - 7 = -2 - 7 = -9 • For x = 2: y = 3(2)^2 - 5(2) - 7 = 3(4) - 10 - 7 = 12 - 10 - 7 = 2 - 7 = -5 • For x = 3: y = 3(3)^2 - 5(3) - 7 = 3(9) - 15 - 7 = 27 - 15 - 7 = 12 - 7 = 5 Step 3: Present the values in a table. The table of values for y = 3x^2 - 5x - 7 for x from -3 to 3 is: |c|c| x & y = 3x^2 - 5x - 7 \\ -3 & 35 \\ -2 & 15 \\ -1 & 1 \\ 0 & -7 \\ 1 & -9 \\ 2 & -5 \\ 3 & 5 \\ Send me the next one 📸