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:
21
Step-by-step explanation:
21 water stations
Step-by-step explanation:
From the question, we are informed that a marathon is 26.2 miles long and that there is a water station every 1 1/4miles along the race route and at the finish line.
To get the number of water stations that are needed for this marathon, we divide 26.2 miles by 1 1/4miles. This will be:
= 26.2miles/1 1/4 miles
= 26.2 miles/1.25 miles
= 20.96
= 21 water stations
Simply cross multiply:
18*m = 6*15
18m = 90
m = 5
4,0
that is the ordered pair of the solution:)
Answer:
20260275
Step-by-step explanation:
the question is same as selecting 4 things from 150 things
= C(150,4). (nCr formula)
=[150×149×148×147]÷[4×3×2×1]
= 49×75×149×37
= 20260275
