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lara [203]
3 years ago
12

Determine the domain and range of each function f(x)=-|x|-2

Mathematics
1 answer:
Alinara [238K]3 years ago
4 0
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (- infinity, infinity)
Range: (- infinity, -2)
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Step-by-step explanation:

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2 years ago
A man bought a cow and a horse for $500. He sold the cow at a profit of 10% and the horse at a loss of 10% and suffered a loss o
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Answer:

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Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = price of the cow

y = price of the horse

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x + y = 500        [1]

The cow was sold at a profit of 10%, thus:

Sale price of the cow= 1.1x

The horse was sold at a loss of 10%, thus:

Sale price of the horse= 0.9y

The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:

1.1x + 0.9y = 490        [2]

From [1]:

y = 500 - x

Substituting in [2]:

1.1x + 0.9(500 - x) = 490

Operating:

1.1x + 450 - 0.9x = 490

0.2x = 490 - 450 = 40

x = 40/0.2

x = 200

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