Answer:

Step-by-step explanation:
Given


Required
Possible values of k
The general quadratic equation is:

Subtract
and 


Factorize:

Rewrite as:

Compare the above equation to: 



For the equation to have two distinct solution, the following must be true:

So, we have:

Expand

Rewrite as:


Expand

Factorize

Factor out k + 6

Split:
or 
So:
or k 
To make the above inequality true, we set:
or 
So, the set of values of k is:

Answer:
9.36
Step-by-step explanation:
28 is a multiple of 7 and also a factor of seven!
I'm not sure what you mean by rename
Yes it is correct. You plotted the slope and initial rate value correctly and found the
point of intersection.