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hammer [34]
4 years ago
12

For what values a is the equation 1/(a+2) = 1/a + 1/2 true?

Mathematics
1 answer:
serg [7]4 years ago
6 0
The answer 
<span>1/(a+2) = 1/a + 1/2 this equation is equivalent to </span><span>1/(a+2) = 2+a / 2a, it means 
</span>1x( <span>2a) = </span>(a+2) x(2+a) , 2a= (a+2)² =a²+4+4a, so we have a²+2a+4=0, and this last doesnt have any solution (there is no value of a verifying a²+2a+4=0)

so the answer is <span>A. no real values a.</span>
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Answer:

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3 0
3 years ago
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each
iogann1982 [59]

Answer:

The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).

Step-by-step explanation:

Note: The question contains some error. The question is therefore rewritten before is answered as follows:

A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.

The explanation of the answer is therefore given as follows:

Given;

12n > 135 + 4.50 .................... (1)

Where n represents the number of necklace that must be sold by the artist to make a profit.

Solving for n from equation, we have:

12n > 139.50

n > 139.50 / 12

n > 11.625 ..................... (2)

Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.

When the artist sells 15 necklaces, it implies that n = 15.

Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).

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