На фотографии график......
============= 1 =============
![(8^3:200-0.4^2):(-0.5)^2= (\frac{512}{200} - (\frac{4}{10})^2) :(- \frac{5}{10} )^2=\\ =(\frac{64}{25} - (\frac{2}{5})^2) :(- \frac{1}{2} )^2=(\frac{64}{25} - \frac{4}{25}) :(- \frac{1}{2} )^2= \frac{60}{25}\cdot4 = \frac{240}{25} =9 \frac{3}{5} =9.6](https://tex.z-dn.net/?f=%288%5E3%3A200-0.4%5E2%29%3A%28-0.5%29%5E2%3D+%28%5Cfrac%7B512%7D%7B200%7D+-+%28%5Cfrac%7B4%7D%7B10%7D%29%5E2%29+%3A%28-+%5Cfrac%7B5%7D%7B10%7D+%29%5E2%3D%5C%5C%0A%3D%28%5Cfrac%7B64%7D%7B25%7D+-+%28%5Cfrac%7B2%7D%7B5%7D%29%5E2%29+%3A%28-+%5Cfrac%7B1%7D%7B2%7D+%29%5E2%3D%28%5Cfrac%7B64%7D%7B25%7D+-+%5Cfrac%7B4%7D%7B25%7D%29+%3A%28-+%5Cfrac%7B1%7D%7B2%7D+%29%5E2%3D+%5Cfrac%7B60%7D%7B25%7D%5Ccdot4+%3D+%5Cfrac%7B240%7D%7B25%7D+%3D9+%5Cfrac%7B3%7D%7B5%7D+%3D9.6)
============= 2 =============
![8(2y - 5) - 4(3y - 7) - 6y = -2y - 12\\ 16y - 40 - 12y + 28 - 6y = -2y - 12\\ -2y - 12 = -2y - 12 ](https://tex.z-dn.net/?f=8%282y+-+5%29+-+4%283y+-+7%29+-+6y+%3D+-2y+-+12%5C%5C%0A16y+-+40+-+12y+%2B+28+-+6y+%3D+-2y+-+12%5C%5C%0A-2y+-+12+%3D+-2y+-+12%0A)
Получили верное равенство
![12 - 6(2z - \frac{1}{2} ) + 7z - 15 = -5z \\ 12 - 12z+3 + 7z - 15 = -5z\\ -5z= -5z\\](https://tex.z-dn.net/?f=12+-+6%282z+-++%5Cfrac%7B1%7D%7B2%7D+%29+%2B+7z+-+15+%3D+-5z+%5C%5C%0A12+-+12z%2B3+%2B+7z+-+15+%3D+-5z%5C%5C%0A-5z%3D+-5z%5C%5C)
Получили верное равенство
============= 3 =============
![\frac{5}{6} ( \frac{1}{3} x - \frac{1}{5} ) = 3x + 3 \frac{1}{3} \\\\ \frac{5}{18} x - \frac{1}{6} = 3x + \frac{10}{3} | \cdot18 \\\\ 5x - 3 = 54x + 60 \\ 5x - 54x = 3 + 60 \\ -50x=63\\ x= -\frac{63}{50}\\ x=-1.26 ](https://tex.z-dn.net/?f=+%5Cfrac%7B5%7D%7B6%7D++%28+%5Cfrac%7B1%7D%7B3%7D+x+-++%5Cfrac%7B1%7D%7B5%7D+%29+%3D+3x+%2B+3++%5Cfrac%7B1%7D%7B3%7D+%5C%5C%5C%5C%0A%5Cfrac%7B5%7D%7B18%7D+x+-++%5Cfrac%7B1%7D%7B6%7D++%3D+3x+%2B++%5Cfrac%7B10%7D%7B3%7D++%7C+%5Ccdot18+%5C%5C%5C%5C%0A5x+-++3++%3D+54x+%2B++60+%5C%5C%0A5x+-+54x+%3D+3+%2B++60+%5C%5C%0A-50x%3D63%5C%5C%0Ax%3D+-%5Cfrac%7B63%7D%7B50%7D%5C%5C%0Ax%3D-1.26%0A+)
Сразу ответы:
15) -1/4 или -0,25
16) 2/7
Разложите многочлен на множители
4) = 2а^2*(2а-5с)
5) = а(а^2 - 14ас+49)
6) = 3(16х^2-1) = 3(4х-1)*(4х+1)
Решите уравнение
10) х=0, х=-2