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Determine the missing values

Mathematics

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Here are the missing values:

  1. Determine the value for 2.1.1.

    Given the function Y=−2x+3Y = -2x + 3 and x=−3x = -3.
    Substitute x=−3x = -3 into the equation:

    Y=−2(−3)+3Y = -2(-3) + 3 Y=6+3Y = 6 + 3 Y=9Y = 9

    The value for 2.1.1 is 9\boxed{\text{9}}.

  2. Determine the value for 2.1.2.

    Given the function Y=−2x+3Y = -2x + 3 and x=0x = 0.
    Substitute x=0x = 0 into the equation:

    Y=−2(0)+3Y = -2(0) + 3 Y=0+3Y = 0 + 3 Y=3Y = 3

    The value for 2.1.2 is 3\boxed{\text{3}}.

  3. Determine the value for 2.1.3.

    Given the function Y=−2x+3Y = -2x + 3 and Y=5Y = 5.
    Substitute Y=5Y = 5 into the equation:

    5=−2x+35 = -2x + 3

    Subtract 3 from both sides:

    5−3=−2x5 - 3 = -2x 2=−2x2 = -2x

    Divide by -2:

    x=2−2x = \frac{2}{-2} x=−1x = -1

    The value for 2.1.3 is -1\boxed{\text{-1}}.

  4. Determine the value for 2.1.4.

    Given the function Y=−2x+3Y = -2x + 3 and Y=17Y = 17.
    Substitute Y=17Y = 17 into the equation:

    17=−2x+317 = -2x + 3

    Subtract 3 from both sides:

    17−3=−2x17 - 3 = -2x 14=−2x14 = -2x

    Divide by -2:

    x=14−2x = \frac{14}{-2} x=−7x = -7

    The value for 2.1.4 is -7\boxed{\text{-7}}.

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