When j = 32, m = 2, and p = 1/4. if j varies directly with m and inversely with p, what is the constant of variation? 4 16 64 256

First option: 4

Step-by-step explanation:

We know that  "j" varies directly with "m" and inversely with "p". Then, it is a Combined variation with the following form:

Where "k" is the constant of variation.

Then, in order to find "k", we need to substitute the given values of "j", "m" and "p" into the equation  and solve for "k":

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

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step-by-step explanation:

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