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nlexa [21]
3 years ago
6

Rewrite the absolute value function y=|x|, as two linear functions, one that has the domain x<0, and one that has the domain

x≥0
Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Answer:

y = x for x ≥ 0 and y = - x for x < 0

Step-by-step explanation:

The absolute value function is written as y = |x| and it is defined as following

|x| = x when, x ≥ 0 and |x| = - x when, x < 0.

Therefore, the equations for the domain of x ≥ 0 is y = x

and the equation for the domain of x < 0 is  y = - x (Answer)

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Three people of kaui Island are named Alice, Bob and Carol. At least one of them is a Knight and at least one is a Knave. Exactl
IrinaVladis [17]

Answer:  Alice has the prize

<u>Step-by-step explanation:</u>

\boxed{\begin{array}{c|c|c||l}\underline{Alice}&\underline{Bob}&\underline{Carol}&\underline{Prize}\\T&T&F&\text{Alice}\\T&F&F&\text{no possible answer}\\T&F&T&\text{no possible answer}\\F&T&T&\text{no possible answer}\\F&F&T&\text{no possible answer}\\F&T&F&\text{no possible answer}\end{array}}

Line 1:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

          Alice is true for all of them!

Line 2:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (F) ... either Alice or Bob

            <em>nobody satisfies all three statements.</em>

Line 3:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            <em>nobody satisfies all three statements.</em>

Line 4:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (T) ... Carol

            <em>nobody satisfies all three statements.</em>

<em />

Line 5:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            <em>nobody satisfies all three statements.</em>

<em />

Line 6:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

            <em>nobody satisfies all three statements.</em>

3 0
3 years ago
Nadine bought 5 quarts of oil for her car. How many fluid ounces is that?
Lelu [443]
1 quart = 32 fluid ounces.

So, 5 quarts = ? fluid ounces.

Lets solve to find ?. 

5 × 32 = 160

So, Nadine bout 160 fluid ounces (5 quarts) or oil for her car.

Hope I helped ya!! 
8 0
3 years ago
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Answer:

i hope this helps

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Answer:

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sin theta = opp /hyp

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The answer is 300. I hope that helped!
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3 years ago
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