If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in
kilometers, where x is measured in minutes, which of the following is an
accurate interpretation of the student's trip?
a) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, continues walking to the playground, turns around, walks
back to the school and arrives after 3 minutes.
b) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, waits there for 1 minute, then returns home.
c) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, turns back to their house to the playground, turns around,
walks back to the school and arrives after 3 minutes.
d) The student starts 6 km from school, walks to school and arrives 1 minute
later, sits by the school, returns home, arrives after 2 minutes, and then turns
around and arrives back at school for a second time at 3 minutes.
e) None of the above are correct
It

Answers

Answer 1

A is the answer to your question

Answer 2

Displacement means the distance traveled on a straight line to get to a certain destination. The interpretation of the given equation is option (a):

Given that:

[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]

First, we calculate how far the student traveled to arrive at the school.

This means that we calculate f(0).

So, we have:

[tex]f(0) = (0 + 1)(0 - 2)(0 - 3)[/tex]

[tex]f(0) = ( 1)( - 2)( - 3)[/tex]

[tex]f(0) = 6[/tex]

The student walked 6km to school

When x = 2, it means:

[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]

[tex]f(2) = (2 + 1)(2-2)(2 -3) = 0[/tex]

This means that the student got to school after 2 minutes

When x = 3, it means

[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]

[tex]f(3) = (3 + 1)(3-2)(3 -3) = 0[/tex]

This means that the student walked away, turned back and got to school after 3 minutes.

From the given options, option (a) fits the above description.

Read more about speed, displacement and time at:

https://brainly.com/question/862972

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Step-by-step explanation:

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Step-by-step explanation:

Simplify the following expression:
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Answers

The complex expression (i-3) +6i-3(8 - i) when simplified is -27 + 10i

How to simplify the complex expression

From the question, we have the following parameters that can be used in our computation:

(i-3) +6i-3(8 - i)

Express properly

So, we have

(i - 3) + 6i - 3(8 - i)

When the brackets are opened, we have

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Answers

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Step-by-step explanation:

Given

[tex]x^2 - 6x - 1 = 0[/tex]

Required: Express as a perfect square

[tex]x^2 - 6x - 1 = 0[/tex]

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[tex]x^2 - 6x +9= 10[/tex]

Expand

[tex]x^2 - 3x - 3x+9= 10[/tex]

Factorize:

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Factorize:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answer:

85.50

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

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Answer:

Step-by-step explanation:

Greater than (<)

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer:

Hi There :)

If your talking about the question:

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Answers

Answer:

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Step-by-step explanation:

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You have a nice day to!!

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Step-by-step explanation:

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Step-by-step explanation:

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