Page 16 - PRAKTIS HEBAT ADDMATHS TG4

Additional Mathematics Form 4 Answers
185
49
27. k , – —– 2. (a) k , — (b) a = 5, b = 2
32 4 2 2
9
28. q . — (c) (i) x – 18x + 81 = 0 (ii) 10x – 7x + 1 = 0
2
5 3. (a) 54x + 63x – 2 740 = 0
49 49 (b) x = 6.564
29. (a) p , — (b) p = —
24 24 4. m = 3, n = 15
49
(c) p . — 5. (a) (i) 7 (ii) 10
24 (b) p = –14, q = 20
30. h = 5 6. (b) m = –2, n = 6
31. –4 , p , 4 7. (a) h = –4, k = 1 (b) x = 1
32. (a) –4 (b) 9 : 4 8. (a) h . –2 2 (b) h = 1, k = 8
1
17 9. (a) — < x < —
3
3
33. p , —
8 (b) (i) (x + 4) + p – 16 (ii) 16
2
5
34. (a) 1 (b) x = 1 (iii) – — < x < 4
35. q = 4, q = –4 2
10. (a) –2x + 8x – 3 (b) x = 3.581, x = 0.419
2
36. (a) m = 4, n = 0 (b) x = –4 1
37. (a) x = 1 (b) 1 (c) x < —, x > 4
2
(c) (1, –16) 11. (a) t = 2 (b) 0 , t , 6
38. (a) 4 (b) 4 (c) t = 6
(c) 2 12. (a) minimum point/ titik minimum: (–1, 5)
39. (3, –4) axis of symmetry/ paksi simetri: x = –1
40. (a) two different real roots/ dua punca nyata yang (b) (i) As the value of a increases to 7, the width of
berbeza the graph decreases. The axis of symmetry
(b) no real roots/ tiada punca nyata and the minimum value remains the same.
1
41. – — , x , 5 / Apabila nilai a bertambah kepada 7,
kelebaran graf berkurang. Paksi simetri dan
3
nilai minimum kekal sama.
42. m , 4 (ii) When the value of h changes to 3, the graph
25
43. – — moves to the right. The equation of the
24 axis of symmetry becomes x = 3 and the
7
44. minimum value/ nilai minimum: — minimum value remains the same. / Apabila
4 nilai h berubah kepada 3, graf akan bergerak
3
axis of symmetry/ paksi simetri: x = — ke kanan. Persamaan paksi simetri menjadi
2
x = 3 dan nilai minimum kekal sama.
45. maximum value/ nilai maksimum: –4 (iii) When the value of k changes to 9, the graph
corresponding value of x/ nilai x yang sepadan: 2 of the same shape moves vertically 4 units
5
9
46. (a) p = —, q = – — upwards. The minimum value becomes 9
2 4 and the axis of symmetry remains the same.
5
(b) x = — / Apabila nilai k berubah kepada 9, graf
2 dengan bentuk yang sama bergerak secara
47. m = 2, n = 6 menegak 4 unit ke atas. Nilai minimum
48. (a) –5 menjadi 9 dan paksi simetri kekal sama.
(b) Since b – 4ac = 100 . 0, the type of roots for 13. (a) p = 4
2
f(x) = 0 is two different real roots. / Oleh sebab (b) f(x)
1
b – 4ac = 100 . 0, jenis punca bagi f(x) = 0 – 1 , 12
2
ialah dua punca nyata yang berbeza. 2 4 12
49. (a) 1 (b) 9 f(x) = –x – x + 12
2
3
50. (a) x = — (b) p = 5, p = –5
2 x
2
51. (a) (x + 4) + h – 16 (b) 6 –4 0 3
(–5, –8) (4, –8)
PAPER 2 14. (a) –2 , x , 4
1. (a) (i) n , 1, n . 6 (b)
(ii) n = 1, n = 6 f(x)
(iii) 1 , n , 6 6
3
(b) When/ Apabila n = 1, — < x < 3
4 Range/ Julat :
1
4
When/ Apabila n = 6, — < x < — –2 0 4 x –3 < f(x) < 6
3 3 –2
(1, –3)
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