Two snow resorts offer private lessons to their customers. Big time ski mountain charges $5 per hour plus $50 insurance. Powder hill charges $10 per hour plus $30 insurance. For what number of hours is the cost of the lessons the same for each resort?

4 hours

Step-by-step explanation

4 times 5+20

50+20+70

10 times 4 +40

30+40+70

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.

i dont know

step-by-step explanation:

umm. i dont know