select the correct location on the table. Consider the following equations.f(x)=x^3+3x^2-x-6. g(x)= x^2-3x-2. Approximate the solution to the equation f(x)=g(x) using 3 iterations of successive approximation. Use the graph as a starting point. NO LINKS!!
Answers
Answer:
15/16
Step-by-step explanation:
For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.
Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.
The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
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Additional comment
The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.
As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.
Related Questions
Find the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2
Answers
Answer:
y=3x-10
Step-by-step explanation:
When you have to find a parallel line, you take the slope of the other line, so we already know y=3x+b. Then, plug in 2 and -4 as your x and y values and you get -4=3(2)+b. Then solve 3×2=6, so -4=6+b, subtract 6 from both sides, -10=b.
An object is launched directly upward from ground level at a rate of 96 feet per second. The height of the object is given by the equation y = −16x^2 + 96x.
When is the object AT OR ABOVE a height of 128 feet?
A) 1 ≤ x ≤ 3
B) 1 ≤ x ≤ 4
C) 2 ≤ x ≤ 3
D) 2 ≤ x ≤ 4
Answers
Answer:
D
Step-by-step explanation:
The x in the spot (x,y) is the time, while the y is how high the object is at.
The length of the time when the object is at or above 128 feet starts at exactly 2 seconds and ends at exactly 4 seconds.
Evaluate piecewise functions
Answers
Answer:
Step-by-step explanation:
f(t)=t²-5t , t≤-10
f(-10)=(-10)²-5(-10)=100+50=150
Please help ! I do not understand the question and do not know the answer
Answers
Hope this helps :)
Help help math math math
Answers
Hi! Let me help you!
Perpendicular lines have slopes that are opposite reciprocals.This means we take a number, flop it over, and change its sign.In this case, we have a line with a slope of [tex]\displaystyle-\frac{1}{3}[/tex]Flop it over:[tex]\rm{-3}[/tex]Change its sign:3Thus, the slope of the line perpendicular to the given line is 3.Now, what is its equation?Since we know the slope and a point that the line intersects, we can write the line's equation in Point-Slope Form:y-y1=m(x-x1)Where y1 is the y-coordinate of the point, m is the slope, and x1 is the x-coordinate.In this case, y1=2, m=3, and x1=4.Plug in the values:y-2=3(x-4)y-2=3x-12y=3x-12+2y=3x-10Answer:
y=3x-10
Hope you find it helpful.
~Nature~
Enjoy your day! :)
Answer:what the other guy the said
Step-by-step explanation:
Please help me and please dont say something thats not related to my post.
Answers
Answer:
The answer is 6 pounds Which is C
Step-by-step explanation:
PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
Answers
I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho
Step-by-step explanation:
substitute y = 7x + 3 in equation 2
9x - 2y = 14
9x - 2(7x + 3) = 14
9x - 14x + 6 = 14
-5x + 6 = 14
-5x = 14 - 6
x = 8 ÷ 5
x = 1.6
subs x = 1.6 into equation 1
y = 7x + 3
y = 7(1.6) + 3
y = 11.2 + 3
y = 14.2
thus, x = 1.6, y = 14.2
A normal distribution (X) has a mean of 100 and a standard deviation of 10.
What is the x value that is the third quartile for this distribution?
Round your answer to the first decimal position.
Answers
The x value for the third quartile for this distribution is 106.8
Z score
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where μ is the mean, x = raw score and σ is the standard deviation.
Given μ = 100, σ = 10.
The third quartile correspond with a z score of 0.675, hence:
0.675 = (x - 100) / 10
x = 106.8
The x value for the third quartile for this distribution is 106.8
Find out more on Z score at: https://brainly.com/question/25638875
a person spends rs.1500 in buying goods;if each kg had cost rs.25 more he would have got 5 kg less .what weight did he buy?
Answers
Answer:
12kg
Step-by-step explanation:
the total money is =1500
each kg =25
so, we first multiply 25 as each kg by 5kg. To have the kg remaining
25×5 = 125
then
1500÷125
=12kg
he bought 12kg,
Complete the inequality 6 1/2 gal 22 1/4
Answers
Answer: x+7>9.
Step-by-step explanation: if that not correct im gonna beat my brother so bad cuz he told me to write that.
add.
(-5x^4+6x^3-43)+(6x^5-x^2+12x-12)
Answers
5
x
4
+
6
x
3
+
6
x
5
−
x
2
+
12
x
−
31
Will give brainliest if helpful
Answers
Answer:
Step 1) P = 600, Decimal format: 0.04, Balance = 624
Step 2) Principle = 624, Balance = 648.96
Step 3) Principle = 648.96, Balance = 674.92
Step-by-step explanation:
Use the formula of A = P(1 + r/n)^n*t
P = 600, r = 4%, n = 1, t = 1 years.
Plug in
A = 600(1 + 0.04/1)^1*1
A = 600 * 1.04^1
A = 600 * 1.04
A = 624
To find the seperate interest
A = P + I
624 = 600 + I
I = 624 - 600
I = 24
Repeat for Step 2
P = 624, r = 4%, n = 1, t = 1
A = 624(1 + 0.04/1)^1*1
A = 624 * 1.04^1
A = 624 * 1.04
A = 648.96
Repeat for interest
648.96 = 624 + I
I = 648.96 - 624
I = 24.96
Repeat for step 3
A = 648.96, r = 4%, n = 1, t = 1
A = 648.96(1 + 0.04/1)^1*1
A = 648.96 * 1.04^1
A = 648.96 * 1.04
A = 674.92
Interest repeat
674.92 = 648.96 + I
I = 674.92 - 648.96
I = 25.96
Which one of the following is NOT a right triangle?
a
9, 12, 15
b
8, 15, 17
c
7, 24, 25
d
10, 16, 19
Answers
Answer:
I think its B
Step-by-step explanation:
The temperature was recorded at several times during the day
Answers
Answer:
This doesn't make sense?
Step-by-step explanation:
What is the question?
using elimination, solve
-12x + 9y = 7
9x ÷ 12y = 6
Answers
Answer:
3x=24y
-12x+9y=7
let me know if this helps :3
Step-by-step explanation:
Suppose you have invested $1500 at an APR of 8%. Use the Rule of 72 to estimate how long it will be until your investment reaches $3000.
Answers
Answer:
25 Years. thank you for your question
The time required for the investment of $1500 reaches $3000 with APR of 8% using the rule of 72 is 9 years.
What is the Rule of 72?The rule of 72 is the easy way to calculate the number of years required the investment with the given interest rate. It can be calculated as,
[tex]t\approx\dfrac{72}{r}[/tex]
Here, (t) is the time period and (r) is the rate of return.
The invested amount is $1500 and the value of APR is 8%. The time we have to calculate using the rule of 72.
The final amount of the investment is $3000 which is double the initial amount. Thus, the time period required to double the investment with 8% of interest is,
[tex]t\approx\dfrac{72}{8}\\t\approx9[/tex]
Thus, the time required for the investment of $1500 reaches $3000 with APR of 8% using the rule of 72 is 9 years.
Learn more about the rule of 72 here;
https://brainly.com/question/2180245
Which exponential function matches the table?
х
0
1
2
3
4
f(x)
27
9
3
1
1
3
A. f(x) = 27(3)*
=
OB. f(x) = 27(3)*
OC. f(x) = 3(1)
3*
O D. f(x) = 27(0)
*
C.
х
=
Answers
Answer:
Option B is the correct answer.
Step-by-step explanation:
[tex]f(x)=27\bigg(\frac{1}{3}\bigg)^x[/tex] matches the table.
• When x = 0
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^0= 27*1=27[/tex]
•When x = 1
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^1= 27*\frac{1}{3}=9[/tex]
•When x = 2
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^2= 27*\frac{1}{9}=3[/tex]
•When x = 3
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^3= 27*\frac{1}{27}=1[/tex]
•When x = 4
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^4= 27*\frac{1}{81}=\frac{1}{3}[/tex]
If logb3=1.10, then logb27 = ____.
Answers
Step-by-step explanation:
27 = 3×3×3
logb(m×n) = logb(m) + logb(n)
logb(27) = logb(3×3×3) = logb(3)+logb(3)+logb(3) =
= 3×logb(3) = 3×1.10 = 3.30
How can you find the perimeter of the rectangle by only knowing its area
Answers
Answer:
It's not possible to determine the perimeter of a rectangle given only the area. The area of a rectangle depends on two unknowns, the length and the width, so you must be given at least one side of the rectangle along with the area to determine the other side and, thus, the perimeter
Step-by-step explanation:
Answer:
It is not possible to determine the perimeter of a figure given its area.
A triangle has sides with lengths of 2 feet, 4 feet, and 5 feet. Is it a right triangle?
Answers
Answer:
No
Step-by-step explanation:
it is not right triangle because when we use Pythagoras theorem by using these side
not satisfied
Answer:
It is not a right triangle.
х
-2
-1
f(x)
-10
-8
-6
-4
Which is an x-intercept of the continuous function in the
table?
0
1
2
3
-2
(0,-6)
(3,0)
(-6,0)
(0,3)
Answers
Answer:
-6
Step-by-step explanation:
x-intercept is y = 0, so the point is (-6, 0), answer is -6
The Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the function f(x).
What is Intercept?The term "intercept" refers to the location where a line or curve crosses a graph's axis. The x-intercept is the point at which the x-axis is crossed. The y-intercept is the point at which the y-axis is crossed.
The x- or y-axis intersection point is what is meant when a line has an intercept. The y-axis is often taken into account if the axis is not stated. The letter "b" is typically used to represent it.
We know that the x intercept can be find where the value of y=0
So, From the table attached,
For x = -1, f(-1) = 0
For x = 2, f(2) = 0
For x = 3, f(3) = 0
Thus, Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the function f(x).
Learn more about Intercept here:
https://brainly.com/question/14180189
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What is an equation of the line that passes through the points (-7, -7) and (-7, 4)?
just answer
Answers
Since you requested for only the answer, here you go:
the slope is 0
The y int is none
the equation is
x=-7
If the slope equals zero that’s called Infinite Slope
So the answer is ( Infinite Slope ) .
Thanks.
solve for v. 29 = -6 + 5v
Answers
You take out a car loan for $7,300 at an interest rate of 4.2% for a duration of 5 years
compounded quarterly. What is the total amount that you will pay back to the bank?
Answers
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7300\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &5 \end{cases} \\\\\\ A=7300\left(1+\frac{0.042}{4}\right)^{4\cdot 5}\implies A=7300(1.0105)^{20}\implies A\approx 8996[/tex]
12. Suppose n is an integer. Select all statements below that are true: (3 points)
n?+n is always an even integer
nun is always an even integer when n is even
n+n is always an even integer when n is odd
n +n is never an even integer when nis odd
n2+ n is is never an even integer
n2 +n is sometimes an even integer
Answers
The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture frame. Use x as your variable.
Answers
Answer:
P = 2.5xStep-by-step explanation:
Let the length is x, then the width is 1/4x.
Find the perimeter of rectangle:
P = 2(l + w)P = 2(x + 1/4x) = 2x + 1/2x = 2 1/2x = 2.5xsolve
[tex] {x}^{2} + \frac{9x}{2} = \frac{5}{2} [/tex]
pls I. need it Thx
Answers
Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x=1/2,−5
Decimal Form:
x=0.5,−5
Step-by-step explanation:
branliest
move the five to the other side
do a normal delta(b^2-4ac)
Three pens cost $1.80. How many pens can you buy for $6?
Answers
Answer: 10
Step-by-step explanation:
3 = $1.80
1 = $0.60
$6 = 10 pens
Find the Area please help me
Answers
Step-by-step explanation:
Area for a right angle triangle = 1/2 bh
b = Base
h = Height
A = 1/2×bh
= 1/2 × 2c^3d^2 × 4c
= (2c^3d^2 × 4c) / 2
= c^3d^2 × 2c
= 2c^4 × d^2
-3,2 and 8,2 in slope intercept form
Answers
Answer:
y = 2
Step-by-step explanation:
So we need to find the slope first.
m = y_2 - y_1/x_2 - x_1
Substitute
m = 2 - (2)/8 - (-3)
Simplify now.
Multiply -1 by 2
m = 2 - 2/(8 - (-3)
2 from 2
m = 0/8 - (-3)
Now we need to simplify the denominator.
To do so lets multiply -1 by -3
m = 0/8 + 3
m = 0/11
m = 0
Now we have the slope of 0 and the given point of (-3, 2)
So y - (2) = 0 * (x - (-3)) (Formula > y - y_1 = m(x - x_1) this comes from the original slope equation]
Simplify further
y - 2 = 0 * (x + 3)
Now we solve for y
Multiply 0 by x + 3
y - 2 = 0
Add 2 to both sides
y = 2
Answer:
-3,2 and 8,2
Step-by-step explanation: