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Matematik Tambahan  Tingkatan 4  Jawapan

 (f)                     1     1                               14.  p = 2, q = 3
 f(x)           31.  (a)  h =  , k = – 6
 3
 2 1    2
 –
    , 0            (b)    2    4                               15.  (a)  Nilai minimum f(x) = 7 apabila x = 1
 x                           f(x)                                 (b)    f(x)
 0                                1
                               x = –
                                  2
                                           x                            9
                       –3  –2  0     3  4
                                                                           (1, 7)
 –9
 3
 x = –                                                                            x
 2                                                                      0  1
 (g)    f(x)                –6                                 16.  (a)  p = 4, k = 16
                                                                  (b)  x = 4
 1    2                         2 1      2                     17.  (a)  p = –1
 3 1
 , –
                                1
 –
                                   1
                                 , –6–
                                –
 2 4
                                   4
                                                                  (b)  q = –2
 x                                                             18.  0.6
 0  1  2           (c)  f(x) = –  x –  1 2  + 6 1 4            19.  x > 1
                           1
                               2
                              2
                            1
                                  2
                32.  (a)  K(x) = –  (x – 40)  + 600
                            2
                   (b)  (i)  40                               Kertas 2
 3                                                                        1
 x = –                (ii)  RM600 seminggu                      1.  (a)  p . –
 –2  2                     1                                              2
                33.  (a)  H(x) =  (x – 16)  + 436
                                 2
                                                                         1
                           4                                      (b)  p = 7  , q = – 4
                   (b)  (i)  16                                          2
                      (ii)  RM436
                                                                2.  Tidak  boleh.  Lebar  kotak kurang  daripada diameter tiga
                             3
                               2
 (h)    f(x)    34.  (a)  A = 12x –  x                            bar coklat (15 cm).
                             2
                   (b)  (i)  x = 4 m, y = 6 m                   3.  32 cm dan 44 cm
                      (ii)  24 m 2                              4.  RM18.75
 x
 0  3  3        35.  (a)  x = 15 m, y = 20 m                                  1 2
 4 1     2         (b)  600 m 2                                 5.  (a)  f(x) = – 4 x –  2 2
                                                                           1
 , – –
 –
 4
                                                                  (b)    f(x)
                           Praktis SPM         2                             1 2 1    2
                                                                             –
                                                                              , 0
               Kertas 1
 –3              1.  (a)  5            (b)  2                          0                x
 x = – 3            2
 4               2.  x  – 6x – 6 = 0
                     2
                 3.  24x  + 8x – 3 = 0
                 4.  x , –1 atau x . 7                                        x = – 1
 3  25           5.  m = –2, n = 3                                               2
  30.  (a)  p = –  ,  q =                                             –1
 2  8                                       9
                 6.  (a)  h = 1        (b)  k =
 (b)  (i)  –1, 4                            2
 (ii)            7.  3 : 2  2                                 6.  (a)  h = 4, k = –9
                       2
                 8.  k , 4                                        (b)  (–1, 0) dan (5, 0)
 2 1     2       9.  (a)  m = – 4, p = 8
 f(x)  3  1            7                                                  f(x)
 , 6 –
 –
 4
                   (b)  x  + 3x – 10 = 0
                      2
 4              10.  (a)  m = –5, n = –12                                     x = 2
                           1
                   (b)  k , –15
 3                         8   1                                          0              x
 x = –          11.  x < –15 atau x >                                 –1               5
 2                             3
                       1
                      1
                12.  (a)  3 , 24  1 2 2    (b)  0 , x , 7
                       2
 x
 –1  0  4              1   1                 1
                      1
                13.  (a)  4 , –6  4 2  (b)  x = 4 2
                       2
                   (c)  2 , x , 7                                        –5
                                                                             (2, –9)
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