Answer:
A. x = 11/16
Step-by-step explanation:
For the purpose here, it is convenient to rearrange the equation to f(x) -g(x) = 0. We know the root will be in the interval [0, 1] because (f-g)(0) = -3 and (f-g)(1) = +3. At each iteration, we evaluate (f-g)(x) at the midpoint of the interval to see which of the interval end points can be moved and still bracket the root.
Using the bisection method starting with the interval [0, 1] we find f(1/2)-g(1/2) < 0, so we can move the interval limits to [1/2, 1].
For the next iteration, we find f(3/4) -g(3/4) > 0, so we can move the interval limits to [1/2, 3/4].
For the third iteration, we find f(5/8) -g(5/8) < 0, so we can move the interval limits to [5/8, 3/4].
Then the root is approximately the middle of that interval:
x ≈ (5/8 +3/4)/2 = 11/16
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This value of x is 0.6875. The root is closer to 0.639802004233. The bisection method takes about 3 iterations for each decimal place of accuracy. Other methods can nearly double the number of accurate decimal places on each iteration.
Answer:
Dobereiner's Triads are groups of three elements arranged in such a way that the atomic weight of the middle element is almost the average of the other two. The elements of triad have almost similar properties
no
Answer:
No
Step-by-step explanation:
Substitute the coordinates of the point into the left side of the inequality, evaluate and compare.
4(- 4) + 5(2) = - 16 + 10 = - 6 > - 7
Thus (- 4, 2 ) is not a solution
The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a non-linear function has at least one exponent higher than 1, and the graph of a non-linear function is a curved line
Answer:
The other factor of the polynomial is (5x -6)
Step-by-step explanation:
Here, we want to find the other factor of this binomial expression
To find the other factor, we simply proceed to divide the polynomial by the binomial
That would be;
(10x^2 + 18x - 36)/(2x + 6)
= 5x - 6