Answer:
Option A) f(n)=-5-4n is correct.
The equation would produce the same sequence of numbers as the recursive formula is f(n)=-5-4n
Step-by-step explanation:
Given that a=-9 and 
The recursive formula is 
Therefore d=-4
Let
and d=-4
We can find 


Therefore 


Therefore
and so on.
Therefore the arithmetic sequence is 
Option A) f(n)=-5-4n is correct.
f(n)=-5-4n
put n=1 in f(n)=-5-4n
f(1)=-5-4(1)
=-9
Therefore f(1)=-9
put n=2 in f(n)=-5-4n
f(21)=-5-4(2)
=-5-8
Therefore f(2)=-13
put n=3 we get f(n)=-5-4n
f(3)=-5-4(3)
=-5-12
Therefore f(3)=-17 and so on .
Therefore the sequence is 
Therefore the equation would produce the same sequence of numbers as the recursive formula is f(n)=-5-4n
Answer:
P’(-1, 1), I’ (1, 2), G’(1,0)
Step-by-step explanation:
Answer: 33
Step-by-step explanation:
Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
Answer:
The year is
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is

=> 
=> 
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as

=> 
Generally the year which the considered percentage will be attained is

=>
=>