(4x+9)(3x+5)
=12x^2+20x+27x+45
=12x^2+47x+45
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:
According to the model, in 2025 the world population will be 8,493,750,000
Step-by-step explanation:
Rate at which population was growing per year = 0.09125 billion
Initial population figure in 1990 = 5.3 billion
World population prediction in 2010 ;
Predicted population figure :
Initial population + (population growth value per year * number of years)
number of years = (2025 - 1990) = 35 years
Predicted population figure in 2025 :
5.3 + (0.09125 * 35)
5.3 + 3.19375
= 8.49375 billion.
8,493,750,000 by 2025
Answer:
Answer: l = 82.5
Step-by-step explanation:
11/2 x 15 = 82.5.
