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Complete the tables for the following functions and find the values of m and n.

Mathematics

ScanSolve AI Answer

Answer

e
4
-191

Step-by-step solution

3 steps

Here are the completed tables and the values of mm and nn.

Part d· 1 step

Function: y=12x+4y = \frac{1}{2}x + 4

  1. Calculate yy for each given xx value.

    For x=0x = 0:

    y=12(0)+4=0+4=4y = \frac{1}{2}(0) + 4 = 0 + 4 = 4

    For x=2x = 2:

    y=12(2)+4=1+4=5y = \frac{1}{2}(2) + 4 = 1 + 4 = 5

    For x=3x = 3:

    y=12(3)+4=32+4=1.5+4=5.5y = \frac{1}{2}(3) + 4 = \frac{3}{2} + 4 = 1.5 + 4 = 5.5

    For x=50x = 50:

    y=12(50)+4=25+4=29y = \frac{1}{2}(50) + 4 = 25 + 4 = 29

    For x=75x = 75:

    y=12(75)+4=37.5+4=41.5y = \frac{1}{2}(75) + 4 = 37.5 + 4 = 41.5

    For x=100x = 100:

    y=12(100)+4=50+4=54y = \frac{1}{2}(100) + 4 = 50 + 4 = 54

    Completed table for d):

    xxyy
    04
    25
    35.5
    5029
    7541.5
    10054

Part e4

Function: y=−4x−3y = -4x - 3

  1. Calculate yy for each given xx value.

    For x=1x = 1:

    y=−4(1)−3=−4−3=−7y = -4(1) - 3 = -4 - 3 = -7

    For x=3x = 3:

    y=−4(3)−3=−12−3=−15y = -4(3) - 3 = -12 - 3 = -15

    For x=5x = 5:

    y=−4(5)−3=−20−3=−23y = -4(5) - 3 = -20 - 3 = -23

    For x=7x = 7:

    y=−4(7)−3=−28−3=−31y = -4(7) - 3 = -28 - 3 = -31

    For x=27x = 27:

    y=−4(27)−3=−108−3=−111y = -4(27) - 3 = -108 - 3 = -111

    For x=47x = 47:

    y=−4(47)−3=−188−3=−191y = -4(47) - 3 = -188 - 3 = -191

    Completed table for e):

    xxyy
    1-7
    3-15
    5-23
    7-31
    27-111
    47-191
  2. Determine the values of mm and nn.

    Assuming mm is the first missing yy value in table d) and nn is the last missing yy value in table e):

    m=4m = 4 n=−191n = -191

    The values are:
    m=4m = \boxed{4}
    n=−191n = \boxed{-191}

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