After three iterations of successive approximations, the approximate solution to the given equation is when x is about -37/16.
To find the approximate solution to the equation 2/x + 4 = [tex]3^{x}[/tex] + 1, we can use an iterative method such as the Newton-Raphson method. Starting with an initial guess, we can refine the estimate through successive iterations. After three iterations, we find that x is approximately -37/16.
The Newton-Raphson method involves rearranging the equation into the form f(x) = 0, where f(x) = 2/x + 4 - [tex]3^{x}[/tex] - 1. Then, the iterative formula is given by:
x[n+1] = x[n] - f(x[n]) / f'(x[n])
By plugging in the initial guess into the formula and repeating the process three times, we arrive at an approximate solution of x ≈ -37/16.
It is important to note that the solution is an approximation and may not be exact. However, after three iterations, the closest option to the obtained approximate solution is -37/16, which indicates that -37/16 is the approximate solution to the given equation.
Learn more about iterations here:
https://brainly.com/question/30941646
#SPJ11
Which expression is equivalent to 1/2b -15?
A. -1/2 (b + 30)
B. -1/2 (b - 30)
C. 1/2 (b - 30)
D. 1/2 (b + 30)
The expression 1/2b -15 is equivalent to, 1/2(b-30), So option C is correct
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
An expression, 1/2b -15
The expressions are equivalent = ?
So now, we can take 1/2 common from the expressions
⇒ 1/2b -15(2/2)
⇒ 1/2(b -15×2)
⇒ 1/2(b - 30)
Hence, the equivalent expression is, 1/2(b - 30)
To know more about Expressions check:
brainly.com/question/16804733
#SPJ1
Laila and Young each made a model volcano. Laila's volcano weighs 3 times as much as Young's. Laila's volcano weighs 9 pounds.
How much does Young's volcano weigh?
A3 pounds
B. 6 pounds
c 12 pounds
D. 18 pounds
E 27 pounds
Answer:
3
Step-by-step explanation:
GF GF
is justified as a step in a proof using the Reflexive Property of Congruence
Choose...
Alternate Interior Angles Theorem
Hypotenuse-Leg Theorem
Reflexive Property of Congruence
ASA Triangle Congruence Theorem
Answer:
Reflexive property of congruence.
Step-by-step explanation:
Answer:
reflective property
Step-by-step explanation:
jfjdjdjdjdjfjfjfjfuud
A blueprint for a new triangular playground shows that the sides
measure 480 ft, 140 ft, and 500 ft. Is the playground in the shape of
a right triangle? Explain.
Answer:
no
Step-by-step explanation:
because it is not equal numbers
ILL GIVE BRAINLIEST FOR FIRST ANSWER HELP
What is the volume of this rectangular prism?
Answer:
The answer is 56 cm^3
Step-by-step explanation:
2 = height
7 = length
4 = width
Formula: LxWxH
2 x 7 x 4 = 56
Help needed ASAP, please!
Answer:
percent 60%
fraction 60/100
ratio 60:40
(dk if it is)
Answer: 60% fraction: 6/10 ratio: 6:10
Step-by-step explanation:
Determine if it’s relationship is a function.
Answer:
It is not a function
because: 4: 25 went to 4: 35
an input can not have two or more outputs
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below.Solve for X
Debra made $228 for 12 hours of work.
At the same rate, how many hours would she have to work to make $323?
Answer:
17 hours
Step-by-step explanation:
Set up a proportion: [tex]\frac{12}{228} = \frac{x}{323}[/tex] Cross multiply, then divide: 12 × 323 = 3876, 3876 ÷ 228 = 17So, she would have to work 17 hours to make $323.I hope this helps!
I hate mathhhhhhhhhhh
Answer:
dont we all
Step-by-step explanation:
Answer:
r is a variable, 3/5 is a constant, 1 and 1/4 is a coefficient
Write two expressions which are equivalent to 24x + 8.
[tex]8(3x + 1)[/tex]
Factor out 8 from the expression
Subtract 1/2h - 1 from 3/4h + 4
A: -1/4h
B: 1/4h + 3
C: -1/4h + 5
D: 1/4h + 5
Answer:
option d.......................
can someone solve this please , ill give Brainly to whoever is first :)
Answer:
630 in^2
Step-by-step explanation:
21 x 15 divided by 2 = 157.5
157.5 x 4 = 630
Answer:
Step-by-step explanation:
I person who answers this is right
What is the slope between:
(2,5) (4, 13)
Answer:
m = 4
you can find the answer for this on m a t h w a y (without the spaces)
I hope this helps!
Answer:
4
Step-by-step explanation:
slope = y2-y1 / x2-x1
13-5= 8
4-2=2
8/2= 4
the product of 9 and c
Answer:
The answer is 9c or 9 × c..
How do you write 6x (to the 3rd power) -60x (to the 2nd power) +144x in factored form?
Answer:
6x(x-4)(x-6)Step-by-step explanation:
I assume your expression is:
6x^3-60x^2+144x.
I'll use that information.
Factor 6x^3−60x^2+144x
6x^3−60x^2+144x
=6x(x−4)(x−6)
What is the value of Fraction 1 over 2 x3 + 3.4y when x = 3 and y = 4? (4 points)15.85 18.1 27.1 31.6
YEAR 9 MATHEMATUCS ALGEBRA
Answer:
Your answer is :
B. 6a^2 + 3ab
Markn my answer as brainlist . Follow me for more answer.
Step-by-step explanation:
Diane looked out the window in the store parking lot and said, “There are 13 motorcycles and cars in the lot.” Steve looked out the window and said, “I see 42 wheels.”
Question: How many motorcycles and how many cars are in the parking lot?
Answer:
There are 5 motorcycles and 8 cars in the parking lot.
Step-by-step explanation:
Set variables X to represent the number of cars and Y to represent the number of motorcycles. You will get the following equations:
X + Y = 13 (Total number of motorcycles and cars)
4X + 2Y = 42 (Total number of wheels)
Combine the two equations together and solve for Y and X
4(13 - Y) + 2Y = 42 note: X = 13 - Y
52 - 4Y + 2Y = 42
-2Y = -10
Y = 5
X + 5 = 13
X = 8
Jan wants a bunch of balloons for her birthday party. There were 10 red, 12 blue, 13 green and 15 yellow balloons. What percentage is the blue balloons ?
Answer:
Should be 24%
Step-by-step explanation:
12/50= .24
1. 1 3/4 + 1/2 + 1/4 + 1/2
2. 5 5/8 - 2 6/7 - 2/7 -5/8
3. 9 5/6 + 1 1/4 + ___ = 14
Please answer these and help me!!!
yo mama is nice stay safe
Answer:
1. 3
2. 1 6/7
3.8 1/6
Step-by-step explanation:
hope this is correct:)
2.
Which equation best describes the graph??
y = 3x + 1
y = -3x + 1
y = -3x - 1
y = 3x - 1
Answer:
y = 3x + 1
Step-by-step explanation:
Evaluate the expression for p = 9!
Answer:
362880
Step-by-step explanation:
A seventh-grade student wants to read at least 300 pages of a novel this week. He has already read 55 pages. An inequality that represents this situation is 7x+55≥300.
Solve this inequality for x, the number of pager per day.
Identify a number of pages that the student could read per day in order to have at least 300 pages of the novel read in a week.
Explain how you know that your answer is appropriate.
Enter your answer and your work or explanation in the space provided.
Answer:
x=35
Step-by-step explanation:
7x+55≥300
-55 -55
--------------------
7x≥245
now divide both sides by 7
x=35
h/6-1=-3 h=?
please help
The answer is
[tex]h = - 12[/tex]
it will look like that,.
[tex] \frac{ - 12}{6} - 1 = - 3[/tex]
Answer:
h= -12
Step-by-step explanation:
h/6+1= -3
h/6= -2
h= -12
Are the ratios 2:3 and 3:2 equivalent?
Yes
No
Answer:
no
Step-by-step explanation:
Answer:
no , they not equal they are different
Will Mark brainliest if answer both correctly / What is X= ? / conditional statement
solve this system of equations by using the elimination method.
2x-3y=25
5x+3y=10
Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.
2x-3y=251️⃣
5x+3y=102️⃣
Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:
1️⃣+2️⃣
2x-3y+5x+3y=25+10
7x=35
x=5
Then we can substitute the value of x back into either of the 2 equations.
2*5-3y=25
10-3y=25
3y=-15
y=-5
Then write the 2 answers together.
{x=5
{
{y=-5
Now we can check our answers.
2*5-3*-5=10- -15= 10+15=25 Correct
5*5+3*-5= 25+ -15= 10 Correct
From this we can see that x=5 y= - 5 are the correct answers!
Part A: If PM =PN and MPQ=UNPQ which triangle congruency postulate can we
use to determine APMQ = APNQ given the information on the figure?
OSAS
O SSS
O AAS
O ASA
Part b:How did you determine your answer in part A/Question 2?
Answer:the answer for part A is SAS.
Step-by-step explanation:
We already know that side PQ is the same length for both the triangles. We were then given the information that sides PM and PN were equal. So now we already have two sides that are the same. Then we were given the information that angle MPQ and angle NPQ were also equal. So now we have two sides and an angle that are equal. This is how we got SAS (side angle side). I tried my best to explain. I added a photo so you could see what I was trying to explain. Hopefully this helped!
Use the Distributive Property to find the product.
1 1/5x25=?
The product is .
Answer:
55
Step-by-step explanation:
you make 25 into its perfect square form and multiply
11÷5 x 5 x 5