Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Answer:
A linear pair is a pair of angles that share a side and a base. In other words, they are the two angles created along one line when two lines intersect. Linear pairs are always supplementary.
First, we are going to find the common ratio of our geometric sequence using the formula:

. For our sequence, we can infer that

and

. So lets replace those values in our formula:


Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:

. We know that

; we also know for our previous calculation that

. So lets replace those values in our formula:

Finally, to find the 9th therm in our sequence, we just need to replace

with 9 in our explicit formula:



We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>
F rests at (0/0) and grows upwards, so there is only a single x-intercept. g is f moved 3 to the left, so it also only has one intercept but at (-3,0).