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 Mercy, hebu tuone jinsi ya kuwakilisha milinganyo hii graphically. Step 1: Eleza uwakilishi wa kielelezo. Kila mlinganyo wa mstari ulionyooka unaweza kuwakilishwa kama mstari kwenye grafu. Katika kesi hii, tutatumia shoka ya p (gharama ya kalamu) kama shoka ya x na shoka ya c (gharama ya penseli) kama shoka ya y. Makutano ya mistari miwili ndio suluhisho la milinganyo. Step 2: Pata pointi za kuchora Mstari 1 (5p + 3c = 840). Ili kuchora mstari, tunahitaji angalau pointi mbili. • Weka p = 0: 5(0) + 3c = 840 3c = 840 c = (840)/(3) c = 280 Pointi ya kwanza ni (0, 280). • Weka c = 0: 5p + 3(0) = 840 5p = 840 p = (840)/(5) p = 168 Pointi ya pili ni (168, 0). Chora mstari unaopitia pointi hizi mbili. Step 3: Pata pointi za kuchora Mstari 2 (3p + 5c = 600). • Weka p = 0: 3(0) + 5c = 600 5c = 600 c = (600)/(5) c = 120 Pointi ya kwanza ni (0, 120). • Weka c = 0: 3p + 5(0) = 600 3p = 600 p = (600)/(3) p = 200 Pointi ya pili ni (200, 0). Chora mstari unaopitia pointi hizi mbili. Step 4: Tambua suluhisho la kielelezo. Pointi ambapo mistari miwili inakutana ndio suluhisho la milinganyo. Kutokana na hesabu zetu za awali, tuligundua kuwa p = 150 na c = 30. Hivyo, mistari miwili itakutana kwenye pointi (150, 30). 5 done, 0 left today. You're making progress.