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10 May, 18:06

A projectile is fired directly upward. The compound inequality 89 - 9.8t 20.4 represents a projectile's velocity that is less than 10.6 m/s or greater than 20.4 m/s. Solve the compound inequality. The solution to the inequality 89 - 9.8t 20.4 is?. To determine when the projectile hits the ground, solve 89 - 9.8t = 0 for t. Rounding to the nearest whole second, t is about? seconds. The viable solution set is?

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  1. 10 May, 20:12
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    Given compound inequality 89 - 9.8t 20.4.

    Let us solve them one by one.

    89 - 9.8t < 10.6

    Subtracting 89 from both sides, we get

    89-89 - 9.8t < 10.6 - 89

    -9.8t < - 78.4

    Dividing both sides by - 9.8, we get

    t > 8.

    Note: Inequality sign get flip on dividing both side by a negative number.

    89 - 9.8t > 20.4

    Subtracting 89 from both sides, we get

    89-89 - 9.8t < 20.4 - 89

    -9.8 t < - 68.6.

    Dividing both sides by - 9.8, we get

    t < 7

    Note: Inequality sign get flip on dividing both side by a negative number.

    The solution to the inequality 89 - 9.8t <10.6 is t> 8. The solution to the inequality 89 - 9.8t > 20.4 is t < 7.

    When the projectile hits the ground:

    89 - 9.8t = 0

    Subtracting 89 from both sides, we get

    89 - 89 - 9.8t = 0 - 89.

    -9.8t = - 89.

    Dividing both sides by 9.8, we get

    to the nearest whole second t is about 9 seconds. Therefore, variable solution set is {t 8, t = 9}.
  2. 10 May, 21:27
    0
    The solution to the inequality 89 - 9.8t < 10.6 is?

    t > 8

    The solution to the inequality 89 - 9.8t > 20.4 is?

    t < 7

    To determine when the projectile hits the ground, solve 89 - 9.8t = 0 for t.

    t = 9.08163265306

    Rounding to the nearest whole second, t is about?

    9 seconds.

    The viable solution set is?

    [0, 7) or (8, 9]
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