Matematika

Pertanyaan

tolong bantuin ya klk bisa sama caranya juga makasi
tolong bantuin ya klk bisa sama caranya juga makasi

1 Jawaban

  • 1a) (2x + 2y) + (7x + 8x)
    = 2x + 15x + 2y
    = 17x + 2y
    b) 2(4x - 3) - 3(5x + 2)
    = 8x - 6 - 15x - 6
    = 8x - 15x - 6 - 6
    = - 7x - 12
    c) (4x + 2)³
    = (4x + 2)(4x + 2)²
    = (4x + 3)(16x² + 16x + 4)
    = 64x³ + 48x² + 64x² + 48x + 16x + 12
    = 64x³ + 112x² + 64x + 12
    d) (2 / x+2 ) + (6 / x+3 )
    = 2(x + 3) + 6 (x + 2)
    -------------------------------
    (x + 2)(x + 3)
    = 2x + 6 + 6x + 12
    ----------------------------
    (x + 2)(x + 3)
    = 8x + 18
    ---------------
    (x + 2)(x + 3)
    = 8x + 18
    ----------------
    x² + 5x + 6

    e) x² + 2x - 35
    -----------------------
    x² + 14x + 49
    = (x + 7)(x - 5)
    ----------------------
    (x + 7)(x + 7)
    = (x - 5)
    -------------
    (x + 7)

    2) f(x) = 5x - 2
    a) {2,3,4,5,6, 7}
    b) f(2) = 5(2) - 2 = 10 - 2 = 8
    f(3) = 5(3) - 2 = 15 - 2 = 13
    f(4) = 5(4) - 2 = 20 - 2 = 18
    f(5) = 5(5) - 2 = 25 - 2 = 23
    f(6) = 5(6) - 2 = 30 - 2 = 28
    f(7) = 5(7) - 2 = 35 - 2 = 33
    Hp = {x | 12< x < 33 }
    d) (3,13) (4,18) (5,23) (6,28) (7,33)

    b) f(x) = ax + b
    f(2) = 2a + b = 18
    f(7) = 7a + b = 33
    --------------------------(-)
    - 5a = - 15
    a = 3

    2a + b = 18
    2(3) + b = 18
    6 + b = 18
    b = 18 - 6
    b = 12

    f(x) = 3x + 12
    f(5) = 3(5) + 12 = 15 + 12 = 27