Matematika

Pertanyaan

tolong kerjakan yang no 15 - 18
tolong kerjakan yang no 15 - 18

1 Jawaban

  • 15 )f(x) = ax + b
    f(1) = a + b = 7
    f(2) = 2a + b = 9
    ----------------------(-)
    - a = - 2
    a = 2

    a + b = 7
    2 + b = 7
    b = 7 - 2
    b = 5

    f(x) = 2x + 5

    f(3) = a
    2(3) + 5 = a
    6 + 5 = a
    a = 11

    f(4) = b
    2(4) + 5 = b
    8 + 5 = b
    b = 13

    f(6) = c
    2(6) + 5 = c
    12 + 5 = c
    c = 17

    nilai 2a - ( b - c )
    = 2(11) - ( 13 - 17 )
    = 22 - ( - 4)
    = 26 ( B )

    16) f(x) = 4x + 5
    g(x) = ax + 1
    f(2) = g(3)
    4(2) + 5 = a(3) + 1
    8 + 5 = 3a + 1
    13 = 3a + 1
    13 - 1 = 3a
    12 = 3a
    a = 4

    g(x) = 4x + 1
    g(5) = 4(5) + 1 = 20 + 1 = 21 ( B )

    17) ax - 4y - 5 = 0
    - 4y = - ax + 5
    m = - a / - 4
    m = a/4
    - 3/2 = a/4
    a = ( -3 × 4 ) / 2
    a = - 12 / 2
    a = - 6
    nilai 2a + 3
    = 2(-6) + 3
    = - 12 + 3
    = - 9 (A )

    18) 3x - 2y + 1 = 0
    - 2y = - 3x - 1
    m = -3/-2
    m = 3/2
    syarat gradien tegak lurus
    m1 . m2 = - 1
    3/2 . m2 = - 1
    m2 = - ⅔
    pers garis
    y - y1 = m ( x - X1 )
    y - 2 = - ⅔ ( x + 4 )
    y = - ⅔ x - 8/3 + 2 ( dikali 3)
    3y = - 2x - 8 + 6
    3y + 2x + 2 = 0 ( D )