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Step-by-step explanation:

x < 3

Step-by-step explanation:

The standard linear equation of a vertical line with an undefined slope is x = a, where "a" represents the x-intercept of the graph.  Vertical lines have an undefined slope because it doesn't have any horizontal change.

The given graph represents the graph of a vertical line, whose x-intercept occurs at point (3, 0). Since the graph has a dashed boundary line, then it means that the linear inequality symbol used to represent the graph is "<," which implies that the endpoint, x = 3, is not included as part of the solution. Additionally, since the shaded half-plane region is towards the left-hand side of the boundary line, it means that the solution must less than 3.

Therefore, the linear equation that represents the given graph is x < 3.

51-50

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.