Simplify: 4x + 6(3x - 2) A) 10x - 12 B) 18x - 12 C) 22x - 12 D) 30x2 - 20x

22x - 12 or C

Step-by-step explanation:

4x + 6(3x - 2)

4x + 18x - 12

22x - 12

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:

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.