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IB Mathematics: Applications and Interpretation HL · 12.4: Solving Equations with Technology · 12.4.6

Where two graphs meet Problem set A Answers

Skills

  1. \((1.70, −2.61)\) and \((5.30, 4.61)\)

  2. \(x = −0.767, 2.00, 4.00\)

    1. (a) \(y = 17\)
    2. (b) \(y = 5\)
    3. (c) \(x = 8.03\)

In context

    1. (a) 16.8 m at \(t = 1.22\) s
    2. (b) \(t = 3.08\) s
    3. (c) 1.99 s
    1. (a) \(x = 39.3\) and \(x = 153\)
    2. (b) 40 and 152
    3. (c) $804.00 when \(x = 96\)
    1. (a) \(t = 1.54\) years
    2. (b) The loan is greater: the car's value is $10 649 and the loan is $13 500
    1. (a) \(n = 17.7\)
    2. (b) 18 posters, $31.29 each

Stretch

    1. (a) A \((1.55, −1.45)\), B \((6.45, 3.45)\)
    2. (b) AB = 6.93
    1. (a) \(t = 0.175\) s and \(t = 3.50\) s
    2. (b) 3.32 s

jmaths.xyz · AI HL · 12.4.6 Where two graphs meet