What are the values of a, b, and c in the quadratic equation 0 =1/2 x2 – 3x – 2? a. a =1/2 , b = 3, c = 2 b. a =1/2 , b = –3, c = –2 c. a =1/2 , b = 3, c = –2 d. a = 1/2, b = –3, c = 2

B.

Step-by-step explanation:

The equation is . a is the coefficient of , b is the coefficient of x and c is the independent term. So, for the equation we have a = 1/2, b= -3 and c = -2.

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:

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step-by-step explanation: