Two friends work at different companies, p and s. both companies use the number of hours that an employee works to calculate that employee’s vacation hours. in company p if you work 10 hours you get 0.4 vacation hours, while in company s if you work 100 hours you get 7 vacation hours. what is the difference in each friend’s vacation hours if both work 2,080 hours?

62.4 hours

Step-by-step explanation:

For P:

Number of hours off on 10 hours of working=0.4

Number of hours on 2080 hours of working=2080/10*0.4

=83.2 hours

For S:  

Number of hours off on 100 hours of working=7

Number of hours on 2080 hours of working=2080/100*7

=145.6 hours

The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.  

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

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.