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 the problems. WEDNESDAY 1. Evaluate: If x=4, y=3, and z=2, determine the value of: a) x^2 - y Step 1: Substitute the given values into the expression. x^2 - y = (4)^2 - 3 Step 2: Calculate the square. 16 - 3 Step 3: Perform the subtraction. 13 The value is 13. b) xy + 2z Step 1: Substitute the given values into the expression. xy + 2z = (4)(3) + 2(2) Step 2: Perform the multiplications. 12 + 4 Step 3: Perform the addition. 16 The value is 16. c) 2x + yz + y^2 Step 1: Substitute the given values into the expression. 2x + yz + y^2 = 2(4) + (3)(2) + (3)^2 Step 2: Perform the multiplications and the square. 8 + 6 + 9 Step 3: Perform the additions. 14 + 9 = 23 The value is 23. d) (xy)^2 + yz - z Step 1: Substitute the given values into the expression. (xy)^2 + yz - z = ((4)(3))^2 + (3)(2) - 2 Step 2: Perform the multiplication inside the parenthesis first. (12)^2 + 6 - 2 Step 3: Calculate the square. 144 + 6 - 2 Step 4: Perform the additions and subtractions from left to right. 150 - 2 = 148 The value is 148. 2. If p=6, q=2p, and r=q+p, what is the value of: Step 1: Calculate the values of q and r. q = 2p = 2(6) = 12 r = q + p = 12 + 6 = 18 So, p=6, q=12, r=18. a) p + q + r Step 1: Substitute the calculated values into the expression. p + q + r = 6 + 12 + 18 Step 2: Perform the additions. 18 + 18 = 36 The value is 36. b) p(q - r) Step 1: Substitute the calculated values into the expression. p(q - r) = 6(12 - 18) Step 2: Perform the subtraction inside the parenthesis. 6(-6) Step 3: Perform the multiplication. -36 The value is -36. What's next?