4128 divided by 50. The answer is the number of bags
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
The answer would have to be 4
Answer:
The correct option is A
The missing number is 34
Explanation:
By inspection, the third number is obtained by adding the two preceding numbers.
1 + 1 = 2
The next number is obtained by adding the two preceding numbers.
2 + 1 = 3
This continues as:
3 + 2 = 5
8 + 5 = 13
13 + 8 = 21
21 + 13 = 34
(<em>x</em> + 1/<em>x</em>)² = <em>x</em> ² + 2 + 1/<em>x</em> ² = 10 + 2 = 12
==> <em>x</em> + 1/<em>x</em> = ±√12
