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zhannawk [14.2K]
3 years ago
5

The function ​f(x)​ is the height of a model rocket x seconds after launch.

Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

Answer:

The practical domain for the function f(x) will be [0,5].

Step-by-step explanation:

A model rocket is launched from the ground and its height from the ground is given by f(x), t seconds after its launch.

It is given that the rocket reaches maximum height at t = 2.5 seconds and comes back to the ground after t = 5 seconds.

So, at t = 0 seconds, the rocket was at the ground and hence, t can not be negative and after t = 5 seconds the rocket comes back to the ground and hence, t can not be greater than 5 seconds.

Therefore, the practical domain for the function f(x) i.e. the values of t lies in the interval [0,5]. (Answer)

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25 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.
Cerrena [4.2K]

Answer:

See the answers below

Step-by-step explanation:

Nine

The first step is to find the common difference. That's found by using

<em><u>Common Difference</u></em>

t4 - t3

t4 = - 15

t3 = - 19

t4 - t3 = -15 - - 19

t4 - t3 = -15 + 19

t4 - t3 = 4

t1 = - 27 which is the first term.

<em><u>Explicit formula</u></em>

tn = a + (n - 1)*d

tn = - 27 + (n - 1)*4

t5 = -27 + (5 - 1)*4

t5 = -27 + 4*4

t5 = - 11

<em><u>Recursive</u></em>

tn = tn - 1 + 4

Ten

<em><u>Common difference</u></em>

t4 - t3

21 - 15

Common difference = 6

t2 = 33 - 6

t2 = 27

<em><u>Explicit formula</u></em>

tn = a + (n - 1)*d

tn = 33 + (n - 1)*6

<em><u>Recursive Formula</u></em>

tn = tn-1  + 6

There are too many answers between the 2 questions that the exact format can be followed and have it make sense. You are better off following each question and writing down the answers as you come to them.

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I'll be expecting that brainliest :)

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