For this case we have that by definition, the discriminant of a quadratic expression is given by:

If the discriminant is less than zero then the expression has two different complex roots.
In this case we have the following expression:

So we have to:

The discriminant is given by:

Then, if we want two complex roots it must be fulfilled that:

Thus, the expression has two complex roots for all values greater than 4.
ANswer:

 
        
             
        
        
        
1 Remove parentheses.
2(5c−7)≥c−3
2 Expand.
10c−14 ≥ c −3
3 Add 14 to both sides.
10c-14+14≥ c − 3+14
4 Simplify c−3+14 to c+11 
10c≥c+11
5 Subtract c from both sides.
10c−c≥11
6 Simplify 10c−c to 9c
9c≥11
7 Divide both sides by 9.
c ≥11/9
        
             
        
        
        
Answer:
the slope is undefined 
Step-by-step explanation:
x=-1
 
        
                    
             
        
        
        
Dot plots are used for continuous, quantitative, univariate data. They can be also used for finding outliers, compare distributions, locate the central tendency of your data, etc…