3p2-10p+8=0
slove the equation

p=2 and p=4/3

Step-by-step explanation:

3p² - 10p + 8 =0, a = 3, b = - 10,  c = 8

We can use quadratic formula

p = ( - b +/- √(b² - 4ac))/2a

p =  ( 10 +/- √(10² - 4*3*8))/2*3

p1 =  ( 10 + √(100 - 96))/2*3 = (10 + 2)/6 = 2

p2 = ( 10 - √(100 - 96))/2*3 = (10 - 2)/ 6 = 8/6 = 4/3

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

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: