A jeweler is selling bracelets at an art convention. it costs $135 to obtain a booth at the convention. the cost to make a single bracelet is $4.50. the jeweler sells the bracelets for $12 each. The inequality 12b > 135 + 4.50b represents the situation in which the jeweler makes a profit.

(a) Loss from selling 15 necklaces

(b)

Step-by-step explanation:

The question has missing details. (See the comment section for missing details)

Given

Solving (a): Will she make a profit from 15 necklaces

To do this, we substitute 15 for b in

The inequality is not true.

Hence, she'll make a loss from selling 15 necklaces

Solving (b): An expression that represents profit.

To do this, we solve for b in

Collect Like Terms

Make b the subject

This implies that to make a profit, she must sell more than 18 necklaces.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)