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
ΔABC has two congruent angles. Therefore, it is an isosceles triangle.
Therefore we have the equation (1) 3x - 5 = y + 12.
All angles of the ΔDBC are congruent. Therefore it is an equilateral triangle.
Therefore we have the equation (2) 3x - 5 = 5y - 4
From (1) and (2) we have the equation:
5y - 4 = y + 12 <em>add 4 to both sides</em>
5y = y + 16 <em>subtract y from both sides</em>
4y = 16 <em>divide both sides by 4</em>
y = 4
Substitute the value of y to (1):
3x - 5 = 4 + 12
3x - 5 = 16 <em>add 5 to both sides</em>
3x = 21 <em>divide both sides by 3</em>
x = 7
<h3>Answer: x = 7 and y = 4</h3>
Answer:
A. y = 
x - 2
Step-by-step explanation:
Answer:
(D)What did Micah eat for lunch yesterday?
Step-by-step explanation:
A statistical question is a question for which the expected response varies. That is, we do not expect to get a single answer. Out of the given options,
Option D is not a valid statistical question as the response to the question will always be the same for a particular day,
If Micah ate cheesecakes for lunch yesterday, asking repeated times will not change the response.
