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Find the missing values. Y = 2x − 1

Mathematics

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Here are the missing values:

  1. Determine the value for 3.1.

    Given the function Y=2x−1Y = 2x - 1 and x=−1x = -1.
    Substitute x=−1x = -1 into the equation:

    Y=2(−1)−1Y = 2(-1) - 1 Y=−2−1Y = -2 - 1 Y=−3Y = -3

    The value for 3.1 is -3\boxed{\text{-3}}.

  2. Determine the value for 3.2.

    Given the function Y=2x−1Y = 2x - 1 and x=0x = 0.
    Substitute x=0x = 0 into the equation:

    Y=2(0)−1Y = 2(0) - 1 Y=0−1Y = 0 - 1 Y=−1Y = -1

    The value for 3.2 is -1\boxed{\text{-1}}.

  3. Determine the value for 3.3.

    Given the function Y=2x−1Y = 2x - 1 and x=9x = 9.
    Substitute x=9x = 9 into the equation:

    Y=2(9)−1Y = 2(9) - 1 Y=18−1Y = 18 - 1 Y=17Y = 17

    The value for 3.3 is 17\boxed{\text{17}}.

  4. Determine the value for 3.4.

    Given the function Y=2x−1Y = 2x - 1 and Y=21Y = 21.
    Substitute Y=21Y = 21 into the equation:

    21=2x−121 = 2x - 1

    Add 1 to both sides:

    21+1=2x21 + 1 = 2x 22=2x22 = 2x

    Divide by 2:

    x=222x = \frac{22}{2} x=11x = 11

    The value for 3.4 is 11\boxed{\text{11}}.

  5. Determine the value for 3.5.

    Given the function Y=2x−1Y = 2x - 1 and x=15x = 15.
    Substitute x=15x = 15 into the equation:

    Y=2(15)−1Y = 2(15) - 1 Y=30−1Y = 30 - 1 Y=29Y = 29

    The value for 3.5 is 29\boxed{\text{29}}.

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