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s = 495m = 0,495 km
t = 1,5s = 0,025h
s = 3,3 km
x - poszukiwany czas
0,025h = 0,495 km
x = 3,3 km
x = (3,3 * 0,025) : 0,495
x = 0,0825 : 0,495
x = 0,1(6) h
x w przybilżeniu = 0,17 h
x = 10,2 s
Zad.20
a)
2(x -y) + 3(x - 5) = 4
3(x + 2) - (y -3) = 5
2x - 2y + 3x - 15 = 4
3x + 6 - y + 3 = 5
5x - 2y = 19
- y = -3x -4/: (-1)
5x - 2(3x + 4) = 19
y = 3x + 4
5x - 6x - 8 = 19
y = 3x + 4
-x = 11/: (-1)
y = 3x + 4
x = -11
y = -29
b)
y + 2x = 11
2x - 6y = 4
y = 11 - 2x
2x -6(11 - 2x) = 4
y = 11 - 2x
2x - 66 + 12x = 4
y = 11 - 2x
14x = 70/: 14
y = 11 - 2x
x = 5
y = 1
x= 5
c)
x - y + 2 = 0
2 i 1/2 y - 1 i 1/2 x = 2
x = y - 2
5/2y - 3/2x = 2
x = y - 2
5/2y - 3/2( y - 2) = 2
x = y - 2
y= - 1
x = -3
y = -1
d)
y + 9/3 + 2 - x/4 = 1 - 2x
2y - 3x/4 = 2/3y + 1
4y + 36/12 + 6 - 3x/12 = 1-2x
6y - 9x/12 - 8/12y = 1
(4y + 42 - 3x)/12 = 1-2x
(16/3y - 9x)/12 = 1
1/3y + 3,5 - 1/4x = 1 - 2x
2/3y - 0,75x = 1
1/3y + 7/4x = -2,5
2/3y - 0,75x = 1
1/3y = -2,5 - 7/4x /: 1/3
2/3y - 0,75x = 1
y = -7,5 - 5,25x
2/3( -7,5 - 5,25x) - 0,75x = 1
y = -7,5 - 5,25x
- 4,25x = 6/: (-4,25)
y = -7,5 - 5,25x
x = -1,41
y = -14,90
x = -1,41
e)
2(x -3) - y = 4
3(y + 2) + 2x = 0
2x - 6 - y = 4
3y + 6 + 2x = 0
-y = 10 - 2x/: (-1)
3y + 6 + 2x = 0
y = -10 + 2x
-30 - 6x + 2x = 0
y = -10 + 2x
-4x = 30/: (-4)
y = -10 + 2x
x = -7,5
y = -25
x = - 7,5
f)
x/2 + y = 4
x - y/3 = 1
1/2x + y = 4
x - 1/3y = 1
1/2x + y = 4
x = 1 + 1/3y
1/2 + 7/6y = 4
x = 1 + 1/3y
7/6y = 4 - 1/2
x = 1 + 1/3y
7/6y = 7/2/ : 7/6
x = 1 + 1/3y
y = 3
x = 2
Ad.1
3x - 8 + x = 2(2x - 4)
4x - 8 = 4x - 8
Odp. C
Ad.3
Odp.A
Ad.4
Odp.C
Ad.8
-3x + 4y = 14
2x - 3y = -10
-3x + 4y = 14
2x = 3y - 10/: 2
-3x + 4y = 14
x = 3/2y - 5
- 4,5 + 15 -14 = -4y
x = 3/2y - 5
-4y = -3,5/: (-4)
x = 3/2y - 5
y = 0,875
x = -3,6875