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
Welcome back Blessings — missed you this week. Here are the solutions to your problems. Problem 1: Evaluate (2a^2)/(c-b) Given a = -3, b = 2, and c = 5. Step 1: Substitute the given values into the expression. (2a^2)/(c-b) = (2(-3)^2)/(5-2) Step 2: Calculate the numerator. 2(-3)^2 = 2(9) = 18 Step 3: Calculate the denominator. 5-2 = 3 Step 4: Divide the numerator by the denominator. (18)/(3) = 6 The evaluated expression is 6. Problem 2: Subtract 1434_6 from 2243_6 and give the answer in base ten. Step 1: Subtract 1434_6 from 2243_6 in base 6. We perform column subtraction: 2243_6 1434_6 ---------- Starting from the rightmost column (units place): 3 - 4: We cannot subtract 4 from 3. Borrow from the next column (the 4 in 2243_6). The 4 becomes 3, and we add 6 (the base) to the 3, making it 3+6=9. Now, 9 - 4 = 5. So the units digit is 5. Next column: 3 - 3 = 0. So the next digit is 0. Next column: 2 - 4: We cannot subtract 4 from 2. Borrow from the next column (the 2 in 2243_6). The 2 becomes 1, and we add 6 to the 2, making it 2+6=8. Now, 8 - 4 = 4. So the next digit is 4. Next column: 1 - 1 = 0. So the leftmost digit is 0. The result of the subtraction in base 6 is 0405_6, which is 405_6. Step 2: Convert the result 405_6 to base ten. To convert a number from base b to base 10, we use the formula: (d_n d_n-1 d_1 d_0)_b = d_n × b^n + d_n-1 × b^n-1 + + d_1 × b^1 + d_0 × b^0 For 405_6: 405_6 = 4 × 6^2 + 0 × 6^1 + 5 × 6^0 = 4 × 36 + 0 × 6 + 5 × 1 = 144 + 0 + 5 = 149 The answer in base ten is 149. Send me the next one 📸