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: 1) Simplify sqrt(0.49) Step 1: Convert the decimal to a fraction. sqrt(0.49) = sqrt((49)/(100)) Step 2: Apply the property sqrt((a)/(b)) = sqrt(a)sqrt(b). sqrt((49)/(100)) = sqrt(49)sqrt(100) Step 3: Calculate the square roots. sqrt(49)sqrt(100) = (7)/(10) Step 4: Convert the fraction back to a decimal. (7)/(10) = 0.7 The simplified expression is 0.7. 2) Simplify (4x^2 - 8x)/(4x) Step 1: Factor out the common term from the numerator. (4x^2 - 8x)/(4x) = (4x(x - 2))/(4x) Step 2: Cancel out the common factor 4x from the numerator and denominator. (4x(x - 2))/(4x) = x - 2 The simplified expression is x - 2. 3) Simplify (2m - 5)(m + 4) Step 1: Use the distributive property (FOIL method) to multiply the binomials. (2m - 5)(m + 4) = 2m(m) + 2m(4) - 5(m) - 5(4) = 2m^2 + 8m - 5m - 20 Step 2: Combine the like terms. 2m^2 + (8m - 5m) - 20 = 2m^2 + 3m - 20 The simplified expression is 2m^2 + 3m - 20. Send me the next one 📸