Which graph represents a line with a slope of - į and a y-intercept equal to that of the line y = = x-27 ТУ

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Slope of the line 'm' = -

y-intercept 'b' of the line is equal to the y-intercept of another line given as,

Here y-intercept of the line 'b' = -2

Therefore, the equation of the line will be,

y = (-)x + (-2)

Here negative slope represents a line which is decreasing having y-intercept = -2

Therefore, last graph (bottom) given in the picture will be the answer.

yes

step-by-step explanation:

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.