The square footage and monthly rental of 10 similar one-bedroom apartments yield the linear regression y = 0.704x + 985.83 where x represents the square footage of the apartment and y represents the monthly rental price. Grace can afford $1,700 per month for rent. What size apartment should she be able to rent for that price? (Round to the nearest square foot)

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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answers

m = 0

n = 0.

explanation

most of the values are negative. the one that are not negative are the excluded   values.

these values are: m = 0

                              n = 0.