Martina uses n beads for each necklace she makes .she uses 2/3 that number of beabs for each bracelet she makes . which expression shows the number of beads martina uses if she makes 6 neckklaces and 12 bracelets?

14n

Step-by-step explanation:

n - beads for each necklace , (6n) - beads for 6 necklaces

(2/3)n - beads for each bracelets, 12*(2/3)n=8n - beads for 12 bracelets

Altogether = 6n + 8n = 14n

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.