Zadanie 1.
[tex]a) y-4\\b)3x +5\\c) 0,8 x\\c) \frac{(a+b)^2}{2ab} = \frac{a^2+2ab+b^2}{2ab} \\[/tex]
Zadanie 2.
x - cena herbaty
1,4x - cena kawy
3 herbaty + 4 kawy
[tex]3x+4*1,4x= 3x+5,6x= 8,6x[/tex]
Zadanie 3.
[tex]P= \frac{1}{2}*a*h\\P= \frac{1}{2}* 3\frac{1}{2}a*\frac{3}{7} a= \frac{1}{2} *\frac{7}{2}a*\frac{3}{7}a= \frac{1}{2} *\frac{3}{2}a^2= \frac{3}{4} a^2[/tex]
Zadanie 4.
[tex]a = 2x-5\\b= 3-x \\Obw= 2a+2b\\Obw= 2*(2x-5) +2 *(3-x) \\0bw= 4x-10+6-2x \\Obw = 2x- 4 = 2(x-2)[/tex]
Zadanie 5.
[tex]a) 10a+5b-2e \\10*(-2) + 5*(3) -2*(-4) = -20+15- (-8) \\-20+15+8 = 3 \\b) \frac{4}{t+3s} = \frac{4}{-3,5+3*(-1\frac{1} {6}) }= \frac{4}{-3,5+(-3\frac{3}{6})}= \frac{4}{-3,5-3,5} = -\frac{4}{7}[/tex]
Zadanie 6.
[tex]a) -2a+8a-5a= a \\b) 4b-3(2-b) = 4b- (6-3b)= 4b-6+3b= 7b-6\\c) -15+20d+12-18d= 2d-3\\d) 4(-2+y) - (4y-5)+4= -8+4y-4y+5+4= 1\\e) -(8x+4) - (-4x^2+8x-1)+3x^2+6 = \\= -8x -4 +4x^2-8x +1 +3x^2+6 = 7x^2-16x +3\\f) (0,3k^2m)^2*20km^3 = 0,3^2*k^4*m^2*20km^3= \\= \frac{9}{100} k^4m^2*20km^3= \frac{9}{5} k^4m^2*km^3= \frac{9}{5}k^5m^5}[/tex]
