Answer:
0.8989
Step-by-step explanation:
Using the Newton's Raphson approximation formula.
Xn+1 = Xn - f(Xn)/f'(Xn)
Given f(x) = x³-2x+2
f'(x) = 3x²-2
If the initial value X1 = 2
X2 = X1 - f(X1)/f'(X1)
X2 = 2 - f(2)/f'(2)
f(2) = 2³-2(2)+2
f(2) = 8-4+2
f(2) = 6
f'(2) = 3(2)²-2
f'(2) = 10
X2 = 2- 6/10
X2 = 14/10
X2 = 1.4
X3 = X2 - f(X2)/f'(X2)
X3 = 1.4 - f(1.4)/f'(1.4)
f(1.4) = 1.4³-2(1.4)+2
f(1.4) = 2.744-2.8+2
f(1.4) = 1.944
f'(1.4) = 3(1.4)²-2
f'(1.4) = 3.880
X3 = 1.4- 1.944/3.880
X3 = 1.4 - 0.5010
X3 = 0.8989
Hence the value of X3 is 0.8989
4, 7, 12, 19, 28
1st difference +3 +5 +7 +9
2nd difference +2 +2 +2
This is a geometric sequence
The form is:
an² + bn + c
2a is always = to the second difference
2a = 2
a = 1
3a + b = 2nd term - 1st term
3(1) + b = 3
3 + b = 3
b = 0
a + b + c = 1st term
1 + 0 + c = 4
1 +c = 4
c = 3
nth term of sequence {substitute all we have found}
1n² + 0 + 3
n² + 3
Answer is : A .. Hope it helped
Answer: It is an associative property of addition.
Step-by-step explanation:
Since we have given that
(4+6.1)+7=4+(6.1+7)
As we know that "Associative property":
Associativity in addition means that adding three numbers and then change the order of numbers and then add it again, we will get the same answer.
So,
Hence, it is an associative property of addition.
Answer:
7 and 8: these are both proportional relationships because they grow at a constant rate of change
9: for every 40 miles that the car travels, it uses 2 gallons of gas.
10: y= 20x
11: the graph would be steeper and have a greater rate of change. This car would be able to go farther on less fuel.
