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Elena-2011 [213]
3 years ago
9

Table A represents the function that models the stopping distance in feet of a derby car, d(x), based on the velocity in miles p

er hour of the car, x. Table B represents the function that models the velocity of a car, v(d), in miles per hour based on distance in feet it took the car to stop, d. When verifying the relationship between the functions using the values in the tables, what conclusion can be made? Since the functions in both tables are increasing, they are inverses. Since the functions in both tables are increasing, they are not inverses. Since for each ordered pair (x, y) for one function there is an ordered pair (y, x) for the other function, the functions are inverses. Since for each ordered pair (x, y) for one function there is an ordered pair (y, x) for the other function, the functions are not inverses.
Mathematics
2 answers:
Citrus2011 [14]3 years ago
7 0

Answer: C

Step-by-step explanation:

larisa86 [58]3 years ago
6 0

Answer:

c

Step-by-step explanation:

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Answer:

The equation of the displacement d as a function of time t is :

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Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple sin or cos terms.

Thus,

d(t) = Asin(wt+c)

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where,

  • <em>d(t) is the displacement with respect to the mean position at any time t</em>
  • <em>A is amplitude </em>
  • <em>w is the natural frequency of oscillation (rads^{-1})</em>
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given,

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w = \frac{2\pi }{2}  = \pi rads^{-1}

∴

the equation :

<em>⇒d(t)=8sin(\pi t+c)    </em>                    ------1

since d=0 when t=o ,

<em>⇒0=8sinc\\c=n\pi                         ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , x must be negative or c must be an odd multiple of \pi.</u>

<em>⇒ d(t) = 8sin(\pi t+(2k+1)\pi )         ------3</em>

where k is also an integer ;

the least value of k=0;

thus ,

the equation is :

d(t)=8sin(\pi t+\pi )

<em></em>

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