2x-7>=0
4-x>=0
2x>=7
-x>=-4
x>=7/2
x<=4
X=y+6. подставляем в 1 уравнение: (y+6)*y+y+6= -4; y^2+6y+y+6+4=0; y^2+7y+10=0; D=7^2-4*1*10=49-40=9; y1=(-7-3)/2, y2=(-7+3)/2. y1= -5, y2= -2. x1= -5+6=1, x2= -2+6=4. Ответ:(1:-5), (4:-2).
Ответ:
Объяснение:
4^(6p)*4^(-4p)=4^(2p). подставляем значение: 4^(2*1/4)=4^1/2=2. Ответ: цифра 2.
F'(x) = 2 + 2/3*x^(-1/3); f'(x) = 0; 1 + 1/3x^(-1/3) = 0; x = -1/27;
__↓___-1/27__↑___>
-1/27 - точка минимума.
а) -1/27;
б) fmin = f(-1/27) = -2/27 + 9;
fmax = max[f(-8), f(1)] = max(0, 3) = 3.
4) a) x≠2
5-2x>=0
-2x>=-5
x<=2.5
(-бесконечность;2)и(2;2,5)
б)
![\left \{ {{15-7x \geq 0} \atop {4x-2 \geq 0}} \right.](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B15-7x+%5Cgeq+0%7D+%5Catop+%7B4x-2+%5Cgeq+0%7D%7D+%5Cright.+)
![\left \{ {{-7x \geq -15} \atop {4x \geq 2}} \right.](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B-7x+%5Cgeq+-15%7D+%5Catop+%7B4x+%5Cgeq+2%7D%7D+%5Cright.+)
![\left \{ {{x \leq 2 \frac{1}{7}} \atop {x \geq 0.5}} \right.](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7Bx+%5Cleq+2+%5Cfrac%7B1%7D%7B7%7D%7D+%5Catop+%7Bx+%5Cgeq+0.5%7D%7D+%5Cright.+)
{0.5;2
![\frac{1}{7}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B7%7D+)