Answer:
Using the Bisection Method 
Step-by-step explanation:
These are the steps for the Bisection Method:
Suppose we need a root for f(x) = 0 and we have an error tolerance of ε
- Find two numbers a and b at which the function has different signs
- Define
- if
then accept c as the root and stop - if
then set c as the new b. Otherwise, set c as the new a. return to step 1.
We know from the information given that
- The function is
- ε = 0.01
Applying the steps of the Bisection Method you get:
1. There is a root between [1,2] because:
2. Define 
3. 
4. Because 
we set 1.5 as the new b.
The bisection algorithm is detailed in the following table.
Note that after 7 steps we have 
hence the required root approximation is c = 1.4106
Answer:
a
x
2
+
b
x
+
c
=
0
the two roots of the equation take the form
x
1
,
2
=
−
b
±
√
b
2
−
4
a
c
2
a
So, start by adding
−
5
to both sides of the equation to get
2
x
2
+
x
−
5
=
5
−
5
2
x
2
+
x
−
5
=
0
Notice that you have
a
=
2
,
b
=
1
, and
c
=
−
5
. This means that the two solutions will be
x
1
,
2
=
−
1
±
√
1
2
−
4
⋅
2
⋅
(
−
5
)
2
⋅
2
x
1
,
2
=
−
1
±
√
41
4
You can simplify this if you want to get
x
1
=
−
1
+
√
41
4
≅
1.35078
and
x
2
=
−
1
−
√
41
4
≅
−
1.85078
She would have 4 stamps left over because 250 times 6 equals 1,560.
Answer:
60,60,60
Step-by-step explanation:
Answer:
y = 150 - 11x
Step-by-step explanation:
Janelle is starting out with 150 surveys and if she is conducting 11 surveys an hour, then that means you need to subtract 11x from 150 because that will give you how many surveys she has left.
