#5
ERROR ANALYSIS Describe and correct the error in solving the equation.
X
2(x + 1)2 + 3 = 21
2(x + 1)² = 18
(x + 1)² = 9
x+1=3
B I
U
IC
x = 2
Answers
The error in solving the equation is x+1=3 , and the correct equation is shown below .
In the question ,
it is given that ,
the equation is given as 2(x + 1)² + 3 = 21
next step , subtracting 3 from both the sides ,
2(x + 1)² = 18
next step , dividing both sides by 2 ,
(x + 1)² = 9
next step is taking square in both the sides ,
x + 1 = ±3 , but in the question it is given as x+1=3 , which is an error ,
hence ,
x + 1 = 3 and x + 1 = -3
x = 2 and x = -4
Therefore , The error in solving the equation is x+1=3 , and the correct equation is x + 1 = ±3 .
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Related Questions
Which of the following statements is true?
A. The experimental probability of an outcome is always the same as the theoretical probability of the outcome
B. The experimental probability of an outcome is never the same as the theoretical probability of the outcome.
C. As the number of trials of a random process decreases, the experimental probability of an outcome approaches the theoretical probability of the outcome
D. As the number of trials of a random process increases, the experimental probability of an outcome approaches the theoretical probability of the outcome
Answers
Answer:
B
Step-by-step explanation:
first of all articles are perfect and there is . sign at the last of the sentence
When expressed as a decimal number, which of the following is a repeating decimal?
2/5
3/8
5/6
7/10
Answers
Answer:
5/6 would be repeating.
Step-by-step explanation:
In decimal form it goes 0.83ext(extended) as in repetitve.
Or if you want to know further it goes like this.
0.833333333333333333333
Answer:
3/8
Step-by-step explanation:
8 divided by 3 =2.6666666666666666666666666666
the 6 is repeating so this is the answer
hope it helps
5 1/2 + 3/4 Give your answer in its simplest form.
Answers
Answer:
5 1/2 + 3/4
11/2 + 3/4
22+3/4
25/4
=6 1/4
How many solutions does this system of equations have y = -1/3x + 7. y = -2x^3 + 5x^2 + x - 2
Answers
The system of equations has one solution.
How many solutions does this system has?To check this, we can graph the two equations of the system:
y = (-1/3)x + 7
y = -2x³ + 5x² + x - 2
On the same coordinate axis, and check how many times do the graphs intercept.
The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.
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Six years ago,the sum of the ages of two brothers was 22, find the age of the older brother
Answers
The age of the older brother is 13
How to determine the age of the elder brotherFrom the information given, let their ages by x and y
This is represented as;
x + y = 22
(x - 6) (y -6) = 21
From equation (1), make x, the subject of formula
x = 22 - y (3)
Substitute equation (3) in equation (2), we get;
(22 - y- 6)(y - 6) = 21
expand the brackets
(16 - y)(y-6) = 21
16y - 96 - y² +6y = 21
collect iike terms
-y² + 22y - 96 - 21 = 0
subtract like terms
-y² + 22y - 117 = 0
y²- 22y + 117 = 0
Find the pairs factors of 117 and substitute the values
y² - 13y - 9y + 117 = 0
(y² - 22y) - (9y + 117) = 0
factorize
y(y - 22) - 9(y - 22) = 0
Then y = 9 and y = 22
The older brothers age = x = 22 - y = 22- 9 = 13
Hence, the value is 13
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The complete question:
The sum of the ages of two brothers is 22 years. Six years ago, the product of their ages was 21 years. What is the age of the elder brother?
What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
Answers
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
The following scenario applies to Questions 7-9. A distribution center for a chain of grocery stores records the total amount of time (in hours) required to fill an order from a store and load the order onto a truck. A new inventory system has made the process more efficient, and the operations manager decides to estimate mean time (M) that it takes to fill an order and load it on the truck. He selects a random sample of 30 orders and computes a 98% confidence interval for u of 5.85 hours to 6.65 hours, A different manager, acting independently of the other manager, selects a different random sample of 30 orders, and computes a sample mean of 6.2 hours, and a sample standard deviation of s = 1.1 hours. After testing the null hypothesis that 16.5 hours, in favor of the alternative hypothesis that * <6.5 hours, this manager gets a p-value of 0.043. Based on these data, which of the following statements is most likely to be correct?
A. We can accept the hypothesis thatp 26.5 hours, with a 043 probability of being wrong
B. There is a .043 probability that p <6.5 hours.
C. There is a 957 probability that p26.5 hours
D. We tan reject the hypotheses that 126.5 hours, with a 043 probability or being wrong
Answers
\(\large\huge\red{\sf{➡ANSWER ⤵}}\)
Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
Answers
From the second equation, we have y = 2 - x.
Substituting this into the first equation, we get:
Sax + b(2 - x) = 0
Expanding this equation, we get:
Sax + 2b - bx = 0
Rearranging the terms, we get:
x(Sa - b) = 2b
Dividing both sides by (Sa - b), we get:
x = 2b/(Sa - b)
Substituting this value of x into the second equation, we get:
2b/(Sa - b) + y = 2
Substituting y = 2 - x, we get:
2b/(Sa - b) + (2 - 2b/(Sa - b)) = 2
Simplifying this equation, we get:
4b/(Sa - b) = 2
Multiplying both sides by (Sa - b)/2, we get:
2b = (Sa - b)
Simplifying this equation, we get:
b = a/2
Substituting this value of b into the equation for x, we get:
x = 2b/(Sa - b) = 2(a/2)/(Sa - a/2) = a/(2S - 1)
Substituting these values of x and y into the given point (x, y) = (a + b), we get:
(a/(2S - 1), 2 - a/(2S - 1)) = (a + a/2, a/2)
Therefore, the solution is:
x = a/(2S - 1) and y = 2 - a/(2S - 1).
When a retired police officer passes away, he leaves $220,000 to be divided among his two children and seven grandchildren. The will specifies that each child is
to get twice as much as each grandchild. How much does each get?
Each child gets S and each gra
Answers
Answer:
40000, 20000
Step-by-step explanation:
Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).
Thus, \(220000=2(2x)+7x=11x \implies x=20000\).
This means each grandchild gets $20,000 and each child gets $40,000.
A school sports team sold candy bars to raise money for new uniforms. The table shows the amount of candy sold each week for three weeks.
Week Amount Sold
Week 1. 32%
Week 2. 8/25
Week 3. 17/51
For which weeks did the team sell the same amount of candy bars?
Answers
"A school sports team sold candy bars to raise money for new uniforms.", The team sold the same amount of candy bars at
Week 3. 17/51 or 0.33 Option C.
This is further explained below.
For which weeks did the team sell the same amount of candy bars?Generally, to give up something of worth in exchange for money or another commodity of value My brother bought the bicycle from him so that he could put it up for sale. The shop is a retailer of footwear. to be marketed or given a price The new product is doing quite well in the marketplace. Each one of them retails for one dollar.
In conclusion, The week with the highest percentage of sales is week three as
17/51>>8/25>>32%
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if the m<2 = 4x+2 and the m<4=110 what is the value of the x?
Answers
Answer:
x = 17
Step-by-step explanation:
5, 7, 9
Show that the mean of these three numbers is 7.
Answers
Answer:
Mean= 7
Step-by-step explanation:
The numbers are 5, 7, 9
Mean= sum of numbers/ total numbers
= 5+7+9/3
= 21/3
= 7
Hence the mean is 7
Find the missing number. 390 × ___ = 390 , 000
Answers
Answer:
1000Step-by-step explanation:
Find the missing number. 390 × ___ = 390,000
390.000 : 390 = 1000
Answer:
C
Step-by-step explanation:
c is 10^4 if you look at the numbers 390.000 there are 4 0 and as a teacher would teach you is how many 0 there are that the answer so 10^4 would be the anwser
Hope this helps
Translate the sentence into an equation.
Two more than the product of a number and 3 is 7.
Answers
The mathematical equation become 2+4*3 = 7.
According to the statement
We have to find that the translation of the equations in the numbers.
So, For this purpose, we know that the
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
From the given information:
Two more than the product of a number 4 and 3 is 7.
In the equation there is a product of the 4 and 3
Then
4*3
And then two is more than the product
2+4*3
And equal to the 7 then
2+4*3 = 7
Now, The equation become 2+4*3 = 7.
So, The mathematical equation become 2+4*3 = 7.
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the fundamental idea behind probability sampling is that a sample of individuals must contain essentially the same variations that exist in the population
Answers
The fundamental idea behind probability sampling is that a sample of individuals must contain essentially the same variations that exist in the population.
In other words, a sample must be representative of the population. This means that each member of the population has an equal chance of being selected for the sample. Probability sampling is a type of random sampling, which is a sampling technique that involves selecting individuals randomly from the population. There are several different types of probability sampling techniques, including simple random sampling, systematic sampling, and stratified sampling.In simple random sampling, every member of the population has an equal chance of being selected for the sample. In systematic sampling, individuals are selected at regular intervals from a list of the population. In stratified sampling, the population is divided into strata, or subgroups, and individuals are selected from each stratum. By using probability sampling, researchers can ensure that their sample is representative of the population, which increases the generalization of their findings.for more such question on probability
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What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
Answers
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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please help will give branliest
Answers
This proof was correctly started by both eric and maggie.
The next step in the proof is to set the right side of the equations equal.
This would be done by the transitive property of equality.
What is a Mathematical Proof?This refers to the use of inference to make an argument to show the logical conclusion to a set of assumptions.
Based on the given diagram that shows Triangle XYZ and the mathematical proof that both Eric and Maggie are trying to prove, they both give the correct proof and the next step was to make the right side of the equations equal.
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Answer:
1: both
2: set the right side
3: transitive property
Step-by-step explanation:
got it right on plato :)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) – 9? (5 points)
O The graph of y = f(x) will shift up 9 units.
O The graph of y = f(x) will shift down 9 units.
The graph of yf(x) will shift left 9 units,
The groph of yf(x) will shift right 9 units.
Answers
Answer:
the graph of y=f(x)will shift up 9 units
PLEASE HELP I WILL GIVE YOU BRAINLIEST!!
What is the total surface area in square feet of the tent including the base?
Answers
Answer: 48 feet squared is the answer
Step-by-step explanation: All you do is take the length which is 8 and multiply it by the width which is 6, and the answer is 48.
I hope it helped comment if you have questions. :)
Where does 1/6 land on a number line
Answers
Answer:
On a number line, 1/6 would land in the exact middle between 0 and 2/6
Step-by-step explanation:
Not too sure what your question meant, but I hope my answer helped!
If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)
Least Common Denominator
Answers
The required least common denominator for the given expression is 4x³(x + 3). Option C is correct.
What is a rational fraction?A rational expression is a mathematical expression that is the ratio of two polynomial expressions. That is, a rational expression is formed by dividing one polynomial expression by another polynomial expression.
Here,
The given rational expression,
= 1/x² - 1/4x² + 12x
In the question, we have been asked to determine the least common denominator for the given rational expression.
Since least common denominator is given expression,
= x² (4x² + 12x)
= 4x³(x + 3)
Thus, the required least common denominator for the given expression is 4x³(x + 3). Option C is correct.
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i really need help with this
Answers
Answer:
(a) 15 students
(b) 3 minutes (by 4 students)
(c) 2 students
(d) 7 students
(e) Ordering this data from least to greatest:
0, 1, 2, 2, 3, 3, 3, 3, 5, 5, 7, 7, 9, 9, 11
The median number is 3.
suppose section 1 has 30 students and section 2 has 20. find the sd of the scores of all the students in the class
Answers
The standard deviation of the scores of all the students in the class to be:
σ = √[(Σ(x - 80)2) / 50] = 11.18
The standard deviation of the scores of all the students in the class is calculated using the formula
σ = √[(Σ(x - μ)2) / N]
where μ is the mean of the scores and N is the total number of students in the class.
In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.
Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:
σ = √[(Σ(x - 80)2) / 50]
In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.
For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.
Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:
σ = √[(Σ(x - 80)2) / 50] = 11.18
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6th grader who needs help :( anyone know?
Answers
Answer:
B. 4
Step-by-step explanation:
Create an equation:
80 = 18x+8
Solve for x by subtracting both sides by 8:
80-8 = 18x+8-8
72 = 18x
Divide both sides by 18:
72/18 = 18x/18
4 = x
4 is the greatest number of DVDs she can buy.
I need help.........
Answers
Answer:
It is the 3rd one
Step-by-step explanation:
TRUST ME
Answer:
x\(\leq\)7
Step-by-step explanation:
2(x-1)=12 x-1= 6, 7, 8 ect
x\(\leq\)7.
2 Look at the open number line in
Problem 1. How would you change the
numbers to show 9 + 5?
Answers
Answer:
i need the number line
Step-by-step explanation:
lol
I WILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY.........Please help
Answers
\(0.0008 = 8 \times 10 {}^{ - 4} \\ \\ \frac{8 \times 10 {}^{ - 4} }{2 \times 10 {}^{ - 6} } \\ \\ 4 \times 10 {}^{6 - 4} \\ \\ 4\times 10^2\)
A fraction is said to be in its lowest terms if the numerator and denominator have no common factor ?
True or False
Answers
Answer:
true
Step-by-step explanation:
25/5=60/12 do they form a proportion
Answers
Answer: YES
Step-by-step explanation: both equal 5 when divided.