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
_____
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:
10
Step-by-step explanation:
Assuming that each square is one unit, you plug it into the distance formula.
Answer:
Step-by-step explanation:
23660
Answer:
with discount+tax= $23.15
Step-by-step explanation:
board game is 25
discount: 15%
tax: 7.5%
discount means you take off that amount
tax means you add that amount
discount: 15% off
tax: +7.5%
to find 15% of 25 multiply 25 by 15% (15/100=0.15)
25*0.15
= 3.75
then subtract that from 25
25-3.75
=21.25
tax:
0.075*25
=1.875
~1.9
21.25+1.9
=23.15