Sarah wants to join a gym. fitness gym charges a $120 enrollment fee and $25 a month. sports gym charges no enrollment fee and $45 a month. she writes the two equations c = 120 + 25x and c = 45x and graphs the solution. the graph shows in 6 months the gyms will cost the same amount. how much will the gyms cost at 5 months?

At 5 months Fitness Gym will cost $245 and Sports Gym will cost $225.

Step-by-step explanation:

Hi, to answer this question we simply have substitute x=5 in both equations:

Fitness Gym:  

C = 120 + 25x

C = 120+ 25(5)

C = 120+ 125

C =$245

Sports Gym:

C = 45x

C = 45 (5)

C =$225

So, after 5 months Fitness Gym will cost $245 and Sports gym will cost $225.

Feel free to ask for more if needed or if you did not understand something.

step-by-step explanation:

compare

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.