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**jadewest****Member**- Registered: 2021-02-20
- Posts: 44

Hello,

Is my answer correct?

3. Mark is cutting fence posts that are 48 inches tall to sell. He is permitted a 2 inch margin of error. Otherwise, he cannot sell the fence posts. What absolute value inequality models this situation?

A. |x - 48| ≤ 2

B. |x + 48| ≤ 2

C. |x - 2| ≤ 48

D. |x + 2| ≤ 48

The right one is alternative A.

Thank you,

Jade

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Hi jadewest,

Yes, that's right.

One way you can check your answer is just to consider some different fence post heights. Suppose you had a fence post that was 49 inches tall -- this is clearly within the 2 inch margin of error. According to the inequality in option A, we have:

|x - 48| = |49 - 48| = 1

and this is less than or equal to 2, so the inequality works in this case.

Similarly if you choose a fence post height of 47 inches, your inequality will still hold.

If you had a fence post of 51 inches then your inequality shouldn't hold -- and indeed in this case we have |x - 48| = |51 - 48| = 3, which is not less than or equal to 2. So your inequality correctly distinguishes between fence posts within a 2 inch margin of error and those that aren't.

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**jadewest****Member**- Registered: 2021-02-20
- Posts: 44

Thank you for your answer!

I am having trouble with this exercise.

4. Which is a factor of 8x^2 + 4x - 24 when it is completely factored?

A. (2x + 3)

B. (x - 2)

C. (x + 2)

D. (x + 3)

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 44,438

Hi jadewest,

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,864

hi jadewest,

Set a possible factor equal to zero and find x; now try that value of x in the quadratic . If that evaluates to zero you've got a factor.

2x + 3 = 0 means x = -1.5

so this is not the factor.

If x + 2 = 0 then x = -2

so this one is a factor.

This technique uses something called the factor theorem.

You'll find it half way down this page: https://www.mathsisfun.com/algebra/poly … actor.html

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**Hicies87****Member**- From: Portsmouth
- Registered: 2022-01-22
- Posts: 15

ganesh wrote:

Hi jadewest,

thanks

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**Hicies87****Member**- From: Portsmouth
- Registered: 2022-01-22
- Posts: 15

ganesh wrote:

Hi jadewest,

thanks

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