Pilne prosze o rozwiązania
8. -12-(-1) = -11
C
9. 4 -5 = -1
D
10. -4+2 = -2
4+2=6
<-2,6>
11. -¼ = a*(-1,5)²
2,25a = -¼
a = -¹/₉
A
12. W (-3,-1)
a = -2
-1 = -2*(-3)+b
b = -7
y = -2x - 7
13. parabola ramionami skierowana w dół bo a > 0, a W(1, -1,5)
-√2 > -1,5
B
14. C:
W(p,q)
Δ = (-6)²-7*4 = 36-28 = 8
p = -6/2 = 3
q = -8/4 = -2
15. 3√5(x²+1)=√5(2x+3)
3x² + 3 = 2x + 3
3x = 2
x = ²/₃
16. 9-x²+8x = 25
-x²+8x -16 = 0
-(4-x)² = 0
x = 4
17. 4x²-5x-9=0
Δ = (-5)²+9*4*4 = 25+144 = 169
√Δ = 13
x₁ = 5-13/8 = -1
x₂ = 5+13/8 = 2,25
18. Δ = (-2)²+2*4 = 4+8 = 12
√Δ = 2√3
x₁ = 2-2√3/2 = 1-√3
x² = 2+2√3/2 = 1+√3
19. x-4x² ≥0
-4x≥ -1
x≤¼
20. B
21. C
22. α+4α+3α=180
8α = 180
α = 22,5
23. C
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8. -12-(-1) = -11
C
9. 4 -5 = -1
D
10. -4+2 = -2
4+2=6
<-2,6>
C
11. -¼ = a*(-1,5)²
2,25a = -¼
a = -¹/₉
A
12. W (-3,-1)
a = -2
-1 = -2*(-3)+b
b = -7
y = -2x - 7
D
13. parabola ramionami skierowana w dół bo a > 0, a W(1, -1,5)
-√2 > -1,5
B
14. C:
W(p,q)
Δ = (-6)²-7*4 = 36-28 = 8
p = -6/2 = 3
q = -8/4 = -2
15. 3√5(x²+1)=√5(2x+3)
3x² + 3 = 2x + 3
3x = 2
x = ²/₃
A
16. 9-x²+8x = 25
-x²+8x -16 = 0
-(4-x)² = 0
x = 4
B
17. 4x²-5x-9=0
Δ = (-5)²+9*4*4 = 25+144 = 169
√Δ = 13
x₁ = 5-13/8 = -1
x₂ = 5+13/8 = 2,25
D
18. Δ = (-2)²+2*4 = 4+8 = 12
√Δ = 2√3
x₁ = 2-2√3/2 = 1-√3
x² = 2+2√3/2 = 1+√3
A
19. x-4x² ≥0
-4x≥ -1
x≤¼
A
20. B
21. C
22. α+4α+3α=180
8α = 180
α = 22,5
D
23. C