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.

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Answer:

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Answers

Answer:

The point estimate of the population mean is of 8.6 gallons sold.

Step-by-step explanation:

Point estimate for the population mean:

From a large sample, the point estimate for the population mean is the sample mean.

In this question:

The sample mean number of gallons sold is 8.6. This means that the point estimate of the population mean is of 8.6 gallons sold.

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Answers

Answer:

A = 117in²

Step-by-step explanation:

A = bh

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A = 117in²

13

×9

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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The numbers is 9:15

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Answers

Answer:

50

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Step-by-step explanation:

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Answers

Answer:

D

Step-by-step explanation:

Answer:

Hi There :)

If your talking about the question:

which expression would be easier to simplify if you used the commutative property to change the order of the numbers​

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Answers

21 for 3 and 10 for 70
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You know that 28 strawberries make 4 smoothies, so you also know that 7 strawberries makes 1, you find this out by dividing 28 by 4.

You then need to do 7 x 3 which is 21, and 70 / 7 which is 10.

Hope this helps x


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Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

you can multiply

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Area= 32 units

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

b

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How to calculate perecent discountHow can I figure out a discount of X%?You apply the fundamental formula given above in this situation.Take the original cost.The result is multiplied by the discount and divided by 100.Subtract the updated amount from the starting cost.Your total price is that. Enjoy your discounts!

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Answers

Answer:

The answer is the first, hope this helps

Step-by-step explanation:

Simplify the following expression:
(i-3) +6i-3(8 - i)
A. 21+7
B. -27 +10;
C. 14 +6;
D. 8 +41

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

(i - 3) + 6i - 3(8 - i) = i - 3 + 6i - 24 + 3i

Collect the like terms

So, we have

(i - 3) + 6i - 3(8 - i) = - 3  - 24 + i + 6i + 3i

Evaluate the like terms

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Answers

Answer:

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Step-by-step explanation:

When graphed, doesn't cross the x-axis

2 I think sorry if I’m wrong

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Answers

Answer:

x1 = √(509) /100 + 3/10

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Step-by-step explanation:

We do completing the square as follows:

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2. Factor out the coefficient of the x^2 term.

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Answers

Answer:

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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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Expand

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Factorize:

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Answer:

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Answers

A23%
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Step-by-step explanation:

You have a nice day to!!

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Step-by-step explanation:

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Answers

Answer:

3x+4

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Answers

Answer:

hwqvh bjvs bhs ebf

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