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's the solution to 5(b): 5. (b) Evaluate the following expression when a = -2, b = 4, c = -1 and d = 3: -(3)/(2)b + (1)/(4)(ac + bd^2) Step 1: Substitute the given values into the expression. -(3)/(2)(4) + (1)/(4)((-2)(-1) + (4)(3^2)) Step 2: Perform the operations inside the parentheses and exponents first. -(3)/(2)(4) + (1)/(4)(2 + (4)(9)) -(3)/(2)(4) + (1)/(4)(2 + 36) -(3)/(2)(4) + (1)/(4)(38) Step 3: Perform the multiplications. -6 + (38)/(4) Step 4: Simplify the fraction and perform the addition. -6 + (19)/(2) To add these, find a common denominator. -(12)/(2) + (19)/(2) (-12 + 19)/(2) (7)/(2) The value of the expression is (7)/(2) or 3.5.