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4 years ago

Write an absolute value equation to satisfy the given solution set shown on a number line. PLEASE HELP

Mathematics

2 answers:

Darina [25.2K]4 years ago

8 0

Answer: Ix - 4I ≤ 4

Step-by-step explanation:

You can see a black dot in the zero, and a black dot in the 8.

So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:

0 ≤ x ≤ 8.

Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.

The first step is to find the middle value of that set:

The middle value is equal to half of the difference between the extremes:

m = (8 - 0)/2 = 4.

Now we know the middle point, so we can write the equation:

Ix - mI ≤ m

m = 4

Ix - 4I ≤ 4

That is our inequality.

Where the "equal" part of ≤ is for the values x = 0 and x = 8.

aniked [119]4 years ago

7 0

I can do it I believe inu

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monitta

2 Answers: A) line symmetry and B) rotational symmetry

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Explanation:

We have line symmetry because we can draw a vertical line down the center, and this is a mirror line. One half folds over the vertical line to match up with the other half. There are other lines of symmetry as well.

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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2 years ago

You need 112 K-cups for a party. A box of K-cups costs $16 for 36 K-cups. What is the minimum amount of money you will spend?

makkiz [27]

Answer:

$49.60

Step-by-step explanation:

The equation setup I used for this was as follows: $16 x (112/36)

Using PEMDAS, you'd start with the division part, 112/36. Although, I did this a bit differently, and being a bit further in school, I don't know if you go through this where you're at.

Start by factoring 112 into 4(28). This leaves you with 4(28)/36.

Next, cancel 4 out of 36. Since 4 is the common factor in 28 and 36, you cancel the four out of the equation, leaving you with 28/9. Convert this to its decimal form, 3.1.

Finally, take the 3.1 and multiply that by $16, which comes out to $49.60.

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3 years ago