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
Haya Ocen, twende kazi! Swali la 28: Tunapewa y = 2 - 3x. Tunahitaji kukamilisha jedwali. Wakati y=2: 2 = 2 - 3x 0 = -3x x = 0 Wakati x=1: y = 2 - 3(1) y = 2 - 3 y = -1 Wakati y=-4: -4 = 2 - 3x -6 = -3x x = 2 Wakati x=5: y = 2 - 3(5) y = 2 - 15 y = -13 Wakati y=-3: -3 = 2 - 3x -5 = -3x x = (5)/(3) Wakati x=0: y = 2 - 3(0) y = 2 - 0 y = 2 Wakati y=-4 (rudia): -4 = 2 - 3x -6 = -3x x = 2 Jedwali lililokamilika ni: |c|c|c|c|c|c|c|c| y & 2 & -1 & -4 & -13 & -3 & 2 & -4 \\ x & 0 & 1 & 2 & 5 & (5)/(3) & 0 & 2 \\ Jibu ni Jedwali lililokamilika hapo juu Swali la 30: Tatua kwa K: (64)^2k = (16)^(k+4). Step 1: Andika namba 64 na 16 kama nguvu za namba moja, kwa mfano 2. 64 = 2^6 na 16 = 2^4. (2^6)^2k = (2^4)^(k+4) Step 2: Tumia sheria ya vipeo (a^m)^n = a^mn kurahisisha pande zote mbili. 2^6 × 2k = 2^4 × (k+4) 2^12k = 2^4k+16 Step 3: Kwa kuwa besi (base) ni sawa, linganisha vipeo (exponents). 12k = 4k+16 Step 4: Tatua mlinganyo kwa K. 12k - 4k = 16 8k = 16 k = (16)/(8) k = 2 Thamani ya K ni 2 Swali la 31: Rahisisha: (0.042 - 0.012)/(0.5 × 0.2). Step 1: Rahisisha nambari (numerator). 0.042 - 0.012 = 0.030 Step 2: Rahisisha kinyume (denominator). 0.5 × 0.2 = 0.10 Step 3: Gawanya nambari kwa kinyume. (0.030)/(0.10) = (0.03)/(0.1) (0.03)/(0.1) = 0.3 Thamani iliyorahisishwa ni 0.3 That's 2 down. 3 left today — send the next one.