The function
... y = 1/x
has derivative
... y' = -1/x²
which has no zeros. It is undefined at x=0, the only critical point. The derivative is negative for all values of x, so the function is decreasing everywhere in its domain.
Your function
... y = (x+1)/(x-3)
can be written as
... y = 1 +4/(x-3)
which is a version of y = 1/x that has been vertically scaled by a factor of 4, then shifted 1 unit up and 3 units to the right. Shifting the function to the right means x=3 is excluded from the domain (and the interval on which the function is decreasing).
The critical point is x=3.
The function is decreasing on (-∞, 3) ∪ (3, ∞), increasing nowhere.
Answer:
Step-by-step explanation:
C(m) = 6x + 25....the domain will be ur x value...and ur x value represents number of tickets bought......so the domain is best represented by :
whole numbers
it cant be integers because it cant be negative numbers
it cant be rational because it cannot include decimals..u cant buy part of a ticket
it cant be real because it cant include irrational numbers
Answer:
4
Step-by-step explanation:
we want y = mx + b
4x = 2y - 3
-2y = -4x - 3
2y = 4x - 3
therefore the gradient (slope) = the coeffecient of x, which in this case is 4
There are 36^7 different passwords available, incluiding ones that have repeated characters, are sequential characters, or are all the same letter or digit. Of these 26^7 are invalid. the probability of obtaining a valid password is
... 1 - 26^7/36^7 ≈ 0.8975
Answer:
i don't remember sorry o know thos was no help sorry
