1. samuel is remodeling his basement. one part of the planning involves the flooring. he knows that he would like both carpet and hardwood, but isn't sure how much of each he will use. the most amount of flooring area he can cover is 2000 square feet. the carpet is $4.50 per square foot and the hardwood is $8.25 per square foot. both prices include labor costs. samuel has budgeted $10,000 for the flooring. write a system of inequalities to represent maximum amount of flooring needed, and the maximum amount of money samuel wants to spend.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

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.

(2,6)

step-by-step explanation:

cause i just did this and got the answer

you're welcome