Это функция формула которой кх+б где х-независимая переменная а К и Б некоторые числа
V теплохода-36км/ч
S теплохода-4ч
Sмот лодки-9ч
НАйти скорость моторной лодки?
Решение:
36*4=144(км/ч)скорость моторной лодки
144/9=16 км/ч - средняя скорость моторной лодки
Ответ:16 км/ч
Переводим смешанные дроби в неправильные:
1. ![\frac{5}{9} + \frac{12}{7} (\frac{14}{3} - \frac{21}{8}) : \frac{7}{4} = 2\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%20%2B%20%5Cfrac%7B12%7D%7B7%7D%20%28%5Cfrac%7B14%7D%7B3%7D%20-%20%5Cfrac%7B21%7D%7B8%7D%29%20%3A%20%5Cfrac%7B7%7D%7B4%7D%20%3D%202%5Cfrac%7B5%7D%7B9%7D)
1) ![\frac{14}{3} - \frac{21}{8} = \frac{112}{24} - \frac{63}{24} = \frac{49}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B3%7D%20-%20%5Cfrac%7B21%7D%7B8%7D%20%3D%20%5Cfrac%7B112%7D%7B24%7D%20-%20%5Cfrac%7B63%7D%7B24%7D%20%3D%20%5Cfrac%7B49%7D%7B24%7D)
2) ![\frac{49}{24} * \frac{4}{7} = \frac{7}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B24%7D%20%2A%20%5Cfrac%7B4%7D%7B7%7D%20%3D%20%5Cfrac%7B7%7D%7B6%7D)
3) ![\frac{12}{7} * \frac{7}{6} = \frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B7%7D%20%2A%20%5Cfrac%7B7%7D%7B6%7D%20%3D%20%5Cfrac%7B2%7D%7B1%7D)
4)
2. ![2 - \frac{22}{7} * (2 - \frac{20}{11}) : \frac{8}{21} = -1](https://tex.z-dn.net/?f=2%20-%20%5Cfrac%7B22%7D%7B7%7D%20%2A%20%282%20-%20%5Cfrac%7B20%7D%7B11%7D%29%20%3A%20%5Cfrac%7B8%7D%7B21%7D%20%3D%20-1)
1) ![\frac{2}{1} - \frac{20}{11} = \frac{22}{11} - \frac{20}{11} = \frac{2}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%7D%20-%20%5Cfrac%7B20%7D%7B11%7D%20%3D%20%5Cfrac%7B22%7D%7B11%7D%20-%20%5Cfrac%7B20%7D%7B11%7D%20%3D%20%5Cfrac%7B2%7D%7B11%7D)
2) ![\frac{2}{11} * \frac{21}{8} = \frac{21}{44}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B11%7D%20%2A%20%5Cfrac%7B21%7D%7B8%7D%20%3D%20%5Cfrac%7B21%7D%7B44%7D)
3) ![\frac{22}{7} * \frac{21}{44} = \frac{6}{2} = 3](https://tex.z-dn.net/?f=%5Cfrac%7B22%7D%7B7%7D%20%2A%20%5Cfrac%7B21%7D%7B44%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%3D%203)
4) 2 - 3 = -1
3. ![\frac{7}{3} + \frac{41}{10} : (\frac{37}{15} - \frac{5}{12}) * \frac{5}{6} = 4\frac{11}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%20%2B%20%5Cfrac%7B41%7D%7B10%7D%20%3A%20%28%5Cfrac%7B37%7D%7B15%7D%20-%20%5Cfrac%7B5%7D%7B12%7D%29%20%2A%20%5Cfrac%7B5%7D%7B6%7D%20%3D%204%5Cfrac%7B11%7D%7B15%7D)
1) ![\frac{37}{15} - \frac{5}{12} = \frac{148}{60} - \frac{25}{60} = \frac{123}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B37%7D%7B15%7D%20-%20%5Cfrac%7B5%7D%7B12%7D%20%3D%20%5Cfrac%7B148%7D%7B60%7D%20-%20%5Cfrac%7B25%7D%7B60%7D%20%3D%20%5Cfrac%7B123%7D%7B60%7D)
2) ![\frac{123}{60} * \frac{5}{6} = \frac{41}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B123%7D%7B60%7D%20%2A%20%5Cfrac%7B5%7D%7B6%7D%20%3D%20%5Cfrac%7B41%7D%7B24%7D)
3) ![\frac{41}{10} * \frac{24}{41} = \frac{12}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B41%7D%7B10%7D%20%2A%20%5Cfrac%7B24%7D%7B41%7D%20%3D%20%5Cfrac%7B12%7D%7B5%7D)
4)
4. ![\frac{53}{12} - \frac{3}{2} : (\frac{13}{6} + \frac{8}{15}) * \frac{9}{5} = 4\frac{55}{852}](https://tex.z-dn.net/?f=%5Cfrac%7B53%7D%7B12%7D%20-%20%5Cfrac%7B3%7D%7B2%7D%20%3A%20%28%5Cfrac%7B13%7D%7B6%7D%20%2B%20%5Cfrac%7B8%7D%7B15%7D%29%20%2A%20%5Cfrac%7B9%7D%7B5%7D%20%3D%204%5Cfrac%7B55%7D%7B852%7D)
1) ![\frac{13}{6} + \frac{8}{15} = \frac{65}{30} + \frac{16}{30} = \frac{81}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B6%7D%20%2B%20%5Cfrac%7B8%7D%7B15%7D%20%3D%20%5Cfrac%7B65%7D%7B30%7D%20%2B%20%5Cfrac%7B16%7D%7B30%7D%20%3D%20%5Cfrac%7B81%7D%7B30%7D)
2) ![\frac{81}{30} * \frac{9}{5} = \frac{243}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7B30%7D%20%2A%20%5Cfrac%7B9%7D%7B5%7D%20%3D%20%5Cfrac%7B243%7D%7B50%7D)
3) ![\frac{3}{2} * \frac{50}{243} = \frac{25}{71}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%2A%20%5Cfrac%7B50%7D%7B243%7D%20%3D%20%5Cfrac%7B25%7D%7B71%7D)
4) ![\frac{53}{12} - \frac{25}{71} = \frac{3763}{852} - \frac{300}{852} = \frac{3463}{852} = 4\frac{55}{852}](https://tex.z-dn.net/?f=%5Cfrac%7B53%7D%7B12%7D%20-%20%5Cfrac%7B25%7D%7B71%7D%20%3D%20%5Cfrac%7B3763%7D%7B852%7D%20-%20%5Cfrac%7B300%7D%7B852%7D%20%3D%20%5Cfrac%7B3463%7D%7B852%7D%20%3D%204%5Cfrac%7B55%7D%7B852%7D)