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 solutions to your questions: 1.4 Step 1: Observe the input and output values from the flow diagram. Input values: \-9, -7, -5, -3, -1, 1, 3, 5\ Output values: \-3, -1, 1, 3, 5, 7, 9, 11\ Step 2: Determine the relationship between each input and its corresponding output. Let's test the difference between output and input for a few pairs: For input -9, output is -3: -3 - (-9) = -3 + 9 = 6 For input -7, output is -1: -1 - (-7) = -1 + 7 = 6 For input 1, output is 7: 7 - 1 = 6 For input 5, output is 11: 11 - 5 = 6 Step 3: Formulate the rule. Since the difference is consistently 6, the rule is to add 6 to the input to get the output. If the input is represented by x and the output by y, the rule is y = x + 6. The rule is output = input + 6. 1.5 Step 1: Identify the unknown number. Let the unknown number be represented by a variable, for example, x. Step 2: Translate "the product of 3 and that same number". The product of 3 and x is 3 × x, which can be written as 3x. Step 3: Translate "Subtract a number from the product of 3 and that same number". This means we subtract the number (x) from the product (3x). So, the expression is 3x - x. The correct algebraic expression is 3x - x. Send me the next one 📸