Answer: C
Step-by-step explanation:
intersection of f(x) and g(x) is x=-3
f(-3)=g(-3)
Answer C
Answer:
The father is 40 and the son is 4.
Step-by-step explanation:
40 + 5 = 45.
4 +5=9.
45 divided by 5 = 9
Answer:
number of units for cost to be minimum=150
Step-by-step explanation:
y=2x^2-600 x+49000
dy/dx=4x-600
dy/dx=0 gives 4x-600=0
4x=600
x=150
d^2y/dx^2=4x
at x=150,d^2y/dx^2=4*150=600>0
so y is minimum at x=150
Answer:
recursive: f(0) = 7; f(n) = f(n-1) -8
explicit: f(n) = 7 -8n
Step-by-step explanation:
The sequence is an arithmetic sequence with first term 7 and common difference -8. Since you're numbering the terms starting with n=0, the generic case will be ...
recursive: f(0) = first term; f(n) = f(n-1) + common difference
explicit: f(n) = first term + n·(common difference)
To get the answer above, fill in the first term and common difference values.
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
