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
Hey, good to see you again. Here are the solutions to your assignment questions: 1) Factorize x^2 + 3x + 2 Step 1: Find two numbers that multiply to 2 and add to 3. The numbers are 1 and 2. Step 2: Rewrite the middle term using these numbers. x^2 + x + 2x + 2 Step 3: Factor by grouping. x(x+1) + 2(x+1) Step 4: Factor out the common term (x+1). (x+1)(x+2) The factored expression is (x+1)(x+2). 2) Solve the equation (x+1)(x+2) where x=6 This is an expression to evaluate, not an equation to solve for x. Step 1: Substitute x=6 into the expression. (6+1)(6+2) Step 2: Perform the additions inside the parentheses. (7)(8) Step 3: Multiply the numbers. 56 The value of the expression is 56. 3) Solve for x 5x 2y where x=6, y=2 This question asks to check if the inequality holds true for the given values of x and y. Step 1: Substitute x=6 and y=2 into the inequality. 5(6) 2(2) Step 2: Perform the multiplications. 30 4 Step 3: Check if the inequality is true. 30 is indeed greater than or equal to 4. The inequality is True. 4) Solve for q by dividing the equation 5q + 25 10 by -5 Step 1: Divide all terms in the inequality by -5. Remember to reverse the inequality sign when dividing by a negative number. (5q)/(-5) + (25)/(-5) (10)/(-5) Step 2: Simplify each term. -q - 5 -2 Step 3: Add 5 to both sides of the inequality. -q -2 + 5 -q 3 Step 4: Multiply both sides by -1 to solve for q. Remember to reverse the inequality sign again. q -3 The solution for q is q -3. Send me the next one 📸