1. A contractor is building a new house and wants to determine the size of its foundation. The length of the foundation is 5 feet more than 2 times its width. The value of the area of the foundation (in square foet) is
1421 more than the value of the perimeter of the foundation (in feet). Which of the following values are
correct?
a. width: 27 At
b. area: 1593 sq ft
c. length: 32 A
d. perimeter: 172

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.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph