Draw a graph of this linear inequality y<2
1 answer:
Answer:
Observe the attached image
Step-by-step explanation:
The inequality we have is:
This means that the region represented by this inequality includes all the values below the horizontal line .
To graph this region, draw a dotted horizontal line that intersects the y axis at . Then shade all the region that is below the horizontal line, as shown in the attached image.
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Answer:
$4,375
Step-by-step explanation:
Answer:
n = 29 iterations would be enough to obtain a root of that is at most
away from the correct solution.
Step-by-step explanation:
You can use this formula which relates the number of iterations, n, required by the bisection method to converge to within an absolute error tolerance of ε starting from the initial interval (a, b).
We know
a = -2, b = 1 and ε = so
Thus, n = 29 iterations would be enough to obtain a root of that is at most
away from the correct solution.
<u>You can prove this result by doing the computation as follows:</u>
From the information given we know:
This is the algorithm for the Bisection method:
- Find two numbers <em>a</em> and <em>b</em> at which <em>f</em> has different signs.
- Define
- If
then accept c as the root and stop
- If
then set <em>c </em>as the new<em> b</em>. Otherwise, set <em>c </em>as the new <em>a</em>. Return to step 1.
We know that and
so we take
and
then
Because we set
as the new <em>b.</em>
The bisection algorithm is detailed in the following table.
After the 29 steps we have that hence the required root approximation is c = -0.50
