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vodomira [7]
3 years ago
15

Why do you think adding and subtracting polynomial expressions is like adding and subtracting

Mathematics
1 answer:
seropon [69]3 years ago
7 0

Answer:

Polynomials are <em>closed</em> under addition and subtraction, which is fancy mathspeak that means that whenever we add or subtract two polynomials, we <em>always</em> get another polynomial. In that way, they behave a lot like the numbers you're probably already familiar with. Adding and subtracting:

  • Two integers gives you another integer
  • Two rational numbers gives you another rational number
  • Two real numbers gives you another real number

And it works the same with polynomials!

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A. The maximum heigh is 81 feet

B. The ball will reach the maximum heiight at 2.25 seconds

C. The domain of the function is t\in [0,4.5]

D. The range of the function is h(t)\in [0,81]

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A ball was thrown into the air with an initial velocity of 72 feet per second. The height of the ball after t seconds is represented by the equation:

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The maximum height will be at parabola's vertex. Find it:

t_v=\dfrac{-b}{2a}\\ \\t_v=-\dfrac{72}{2\cdot (-16)}=\dfrac{72}{32}=\dfrac{9}{4}=2.25\\ \\h(t_v)=-16\cdot t_v^2+72\cdot t_v\\ \\h(2.25)=-16\cdot 2.25^2+72\cdot 2.25=81

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