Simplifying algebraic expressions --3g+7(6g+4)

39g+28

First you would do the distributive property 7(6g+4) and 7x6= 42g & 7x4=28. Then you would -3g from 42g and you'd get 39g. So you/re simplified expression would be 39g+28.

you have 6 cupcakes

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: