Answer:
C(n) = 4 n for all possible integers n in N. This statement is true when n=1 and proving that the statement is true for n=k when given that statement is true for n= k-1
Step-by-step explanation:
Lets P (n) be the statement
C (n) = 4 n
if n =1
(x+4)n = (x+4)(1)=x+4
As we note that constant term is 4 C(n) = 4
4 n= 4 (1) =4
P(1) is true as C(n) = 4 n
when n=1
Let P (k-1)
C(k-1)=4(k-1)
we need to proof that p(k) is true
C(k) = C(k-1) +1)
=C(k-1)+C(1) x+4)n is linear
=4(k-1)+ C(1) P(k-1) is true
=4 k-4 +4 f(1)=4
=4 k
So p(k) is true
By the principle of mathematical induction, p(n) is true for all positive integers n
Answer:I think it’s 2 the best buy
Step-by-step explanation:
Answer: Vector travelling 4 units to the left and 1 unit up, facing northwest.
Step-by-step explanation:
The original shape is ABC, while the translated shape is A'B'C'.
The translation is 4 units to the left and 1 unit up.
The correct vector will display as a vector travelling 4 units across and 1 unit down, facing northwest.
The first attached image travels 4 units across and 1 unit down, and faces the correct direction (northwest).
The second attached image travels 4 units across and 1 unit down, but it faces the wrong direction (southeast).
The third image travels 1 unit across and 2 units down. This is incorrect.
The fourth image travels 1 unit across and 2 units down. This is incorrect.
The correct answer is the first attached image (linked in comments)
Answer: Total cost of their meal is $78
Step-by-step explanation: 20% of 65 is a 13 dollars tip adding up to a total of $78
65*0.2 = 13
65+13=78
