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:
A. 4,680
Step-by-step explanation:
312*15=4,680
First, there was $37.50.
Then, there was a tax of 8%.
Then, there was a tip of 18%.
Since the tip is after the tax, it's not going to affect it, and we can essentially ignore it.
The real question here is just <em>what is 8% of $37.50?</em>
To find the percent of something, first you need to put the percent as a decimal.
8% in decimal form is 0.08 (If you think about it literally, they're both 8 hundredths)
Finally, just multiply the percent in decimal form by the number.
37.50 dollars × 0.08 = 3 dollars.<em />
First, you must find the slope, which is -5-4/-1-4, or 1.8, and then put it in point-slope form, or y-4=1.8(x-2), which simplifies to y-4=1.8x-3.6, and so put it in general/standard form, you have to subtract 1.8x from both sides and then add 4 to both sides, and lastly divide both sides of the equation by -1.8 to get x+y=1.889, or x+y=1.6/1.8. This is not copied and pasted.