Ashley charges $6 for a bracelet and 12$ for a necklace. She earned $168. Use b for bracelets and n for necklaces, and write an equation for this situation. Then solve it for b.

Step-by-step explanation:

let the number of bracelet be b

Let the number of necklace be n

If Ashley charges $6 for a bracelet , the total amount charged for b bracelets will be 6b

If she charge $12 for a necklace, the total amount for n necklace will be 12n

If she earned $168 in total, then:

6b + 12n = 168

Divide through by 6

b + 2n = 28

Hence the equation for this situation is b + 2n = 28

Next is to solve for b:

Make b the subject of the formula:

b + 2n = 28

subtract 2n from both sides

b + 2n - 2n = 28 - 2n

b = 28 -2n

Hence the function for b will  be b = 28-2n

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: