The time, in hours, that eight people spent watching television was used to create the box and whisker plot shown above. Which of the sets of times below matches the given box and whisker plot? A. Time Watching Television: 1, 1, 1, 2, 3, 3, 4, 5 B. Time Watching Television: 1, 2, 2, 2, 3, 4, 4, 5 C. Time Watching Television: 1, 2, 2, 2, 3, 3, 4, 5 D. Time Watching Television: 1, 2, 2, 3, 3, 3, 4, 5

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

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.