1) rewrite the equation y = -5/2x - 3 in standard form. a) -2x + 5y = 3 b) -2x + 5y = -6 c) 5x + 2y = -3 d) 5x + 2y = -6 2) this is the graph of y = -2/3x true or false? (image is attached below as first one) 3) write an equation for the line through the given point with the given slope using point-slope form. write your final answer in slope-intercept form. (-9,8) ; m = -5 show your work. 4) write an equation for the line through the given point with the given slope using point-slope form. write your final answer in slope-intercept form. (10,1) ; m = 1/5 show your work.

answer: 12

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.