1. Let f (x) = 2x + 1/3x Is f one-to-one? Justify your
answer.
Answers
This function f(x) = (2x + 1) / (3x) is not one-to-one.
Suppose we have two distinct elements a and b in the domain of the function f such that f(a) = f(b). We must demonstrate that this implies
a = b. In this case, we have f(a) = f(b) implies
(2a + 1)/(3a) = (2b + 1)/(3b)
Now cross-multiplying and simplifying, we get:
2ab + b = 2ab + a3b/3a => 3a(2ab + b)
= 3b(2ab + a)
=> 6a²b + 3ab
= 6b²a + 3ab
=> 6a²b
= 6b²a => a = b
If the above equation is valid for some pair of values (a,b), then f is not one-to-one because it maps two different domain values to the same range value. Therefore, the function f(x) = (2x + 1) / (3x) is not one-to-one.
You can learn more about one-to-one function at: brainly.com/question/18154364
#SPJ11
Related Questions
It would mean a lot if someone would help me with this! I will give brainliest! Thank you!!!
Select the graph that correctly represents the following equation.
2 x − y = 1
Answers
Answer:
C
Step-by-step explanation:
Its c im smart trust me
Answer: C
Step-by-step explanation:
2x - y = 1
-2x -2x
-y = -2x + 1
(-1) -y = -2x + 1 (1)
y = 2x-1
slope is positive 2/1, and the y-intercept is -1
1. what is the height of the cone? Explain how you found the height.
2. Now that you have the height of the cone, how can you solve for the slant height, s?
3. Now that you have the height of the cone, how can you solve for the slant height, s?
Answers
1. The height of the cone is equal to
2. You can solve for the slant height, s by applying Pythagorean's theorem.
3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.
How to calculate the volume of a cone?In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:
Volume of cone, V = 1/3 × πr²h
Where:
V represent the volume of a cone.h represents the height.r represents the radius.By substituting the given parameters into the formula for the volume of a cone, we have the following;
8792 = 1/3 × 3.14 × 20² × h
26,376 = 3.14 × 400 × h
Height, h = 26,376/1,256
Height, h = 21 mm.
Question 2.
In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.
Question 3.
By applying Pythagorean's theorem, we have the following:
r² + h² = s²
20² + 21² = s²
400 + 441 = s²
s² = 841
Slant height, s = √841
Slant height, s = 29 mm.
Read more on cone here: https://brainly.com/question/27604827
#SPJ1
The least preferable and reliable method of selecting people to participate in a research study is:_____.
Answers
The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.
Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.
It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.
To learn more about convenience sampling, click here:
https://brainly.com/question/5997269
#SPJ4
HELP ASAP!!
Solve the following quadratic equation for all values of x in simplest form.
3(x - 2)2 – 37 = 20
Answers
pls give brainliest if you found my answer helpful
Work: Step 1) 3(x-2)2-37=20
Step 2) (3x-6)2-37=20
Step 3) 6x-12-37=20
Step 4) 6x-12= 20+37
Step 5) 6x=57+12
Step 6) 6x=69
Step 7) x=69/6
Step 8) x= 23/2
Sketch the graph of the line. y = 5
Answers
I don't know if this is what you are looking for, but here is the graph of y=5.
Answer: Put the line Horizontally going through the point of 5 on the y axis.
Step-by-step explanation:
what is the result of 2.130 x 10³ - 6.6 x 10² =
Answers
Answer:
The answer you're looking for is 1470.
Step-by-step explanation:
The method I used was PEMDAS
Since there was no parenthesis, I simplified the exponents.
2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?
After that, I multiplied all terms next to each other.
2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?
The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.
1470 = ?
I hope this was helpful!
if the margin of error in an interval estimate of μ is 4.6, the interval estimate equals _____.
Answers
If the margin of error is 4.6, the interval estimate would be the point estimate plus or minus 4.6.
In statistical estimation, the margin of error represents the maximum amount by which the point estimate may deviate from the true population parameter. It provides a measure of the precision or uncertainty associated with the estimate. When constructing a confidence interval, the margin of error is used to determine the range within which the true parameter is likely to fall.
To obtain the interval estimate, we add and subtract the margin of error from the point estimate. Let's denote the point estimate as x bar. Therefore, the interval estimate can be expressed as X bar ± 4.6, where ± denotes the range above and below the point estimate.
In summary, if the margin of error in an interval estimate of μ is 4.6, the interval estimate is given by the point estimate plus or minus 4.6. This range captures the likely range of values for the true population parameter μ.
Learn more about margin of error here:
https://brainly.com/question/31950158
#SPJ11
-x^2+2x-1 factor and please show work
Answers
x = 1
\(-x^{2} +2x-1=0\\-(x-1)^{2} \\x=1\)
A elementary school art class teacher plans to display artwork next to the door of each of the classrooms in the school. Each classroom door will only have one piece of artwork displayed, and the school has 20 such doors. If the teacher has 10 sculptures, 11 sketches, and 9 oil paintings, what is the probability that 4 sculptures, 10 sketches, and 6 oil paintings are chosen to be displayed?
Answers
Answer:
56/8671
Explanation:
First, determine the total number of artworks.
• Sculptures = 10
,• Sketches = 11
,• Oil paintings = 9
Total = 10+11+9 = 30
20 artworks can be selected out of 30 in 30C20 ways.
Next:
• 4 sculptures can be selected out of 10 in 10C4 ways.
,• 10 sketches can be selected out of 11 in 11C10 ways.
,• 6 oil paintings can be selected out of 9 in 9C6 ways.
The combination formula is:
\(^nC_x=\frac{n!}{(n-x)!x!}\)Therefore:
\(\begin{gathered} ^{10}C_4=\frac{10!}{(10-4)!4!}=\frac{10!}{6!4!}=210 \\ ^{11}C_{10}=\frac{11!}{(11-10)!10!}=\frac{11!}{1!10!}=11 \\ ^9C_6=\frac{9!}{(9-6)!6!}=\frac{9!}{3!6!}=84 \\ ^{30}C_{20}=\frac{30!}{(30-20)!20!}=\frac{30!}{10!20!}=30045015 \end{gathered}\)Thus, the probability that 4 sculptures, 10 sketches, and 6 oil paintings are chosen to be displayed is:
\(\begin{gathered} \frac{^{10}C_4\times^{11}C_{10}\times^9C_6}{^{30}C_{20}} \\ =\frac{210\times11\times84}{30045015} \\ =\frac{194040}{30045015} \\ =\frac{56}{8671} \end{gathered}\)The probability is 56/8671.
find the value of X, y and z
ans: x=50 y= 50 z=50
Answers
The value of x , y and z in the parallel line is 50 degrees.
How to find the angle in parallel line?When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.
Therefore, let's use the angle relationships to find the angle, x, y and z as follows:
Therefore,
x = 360 - 310(sum of angles in a point)
x = 50 degrees
Therefore,
x = y(alternate interior angles)
Alternate interior angles are congruent.
Hence,
y = 50 degrees
Therefore,
x = z(alternate interior angles)
z = 50 degrees.
learn more on angles here: https://brainly.com/question/17043791
#SPJ1
Identify the domain and range of the function domain
Answers
The term "domain" refers to a group of potential input values, and the domain of a graph is made up of all the input values visible on the x-axis.
How do you determine domain and range is a function or a relation?All the y values from the ordered pairings are listed to determine the range. Values that are repeated inside the domain or range don't need to be listed more than once. Each x must have a unique y value in order for a relation to be a function.
Simply solving for y = f(x) yields the values of the independent variable x and the domain, which we can use to determine the domain and range. Simply write x as x=g(y) to determine the function's range, and then identify g's domain.
Utilizing graphs is another method for determining the domain and range of functions. The collection of possible input values is referred to as the domain, and the domain of a graph is made up of all the input values displayed on the x-axis. The collection of potential output values that make up the range is represented by the y-axis.
To learn more about domain and range refer to;
https://brainly.com/question/10197594
#SPJ4
What is the value of x?
Answers
The value of x in the diagram is 9
What is an equilateral triangle?equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral triangle also has its area, perimeter and height formula
From the diagram all the sides are equal which means it is an equilateral triangle in which each angle is equal to 60°
To find x,
7x -3 = 60
7x = 60 + 3
7x = 63
x = 63/7
x = 9
In conclusion the value of x is 9
Learn more about equilateral triangle: https://brainly.com/question/2351368
#SPJ1
For the following program P3 written in pseudo-code, given the test set T: T = {t1 = <‐5, 2>, t2 = <3, 1>, t3 = <9, 3>} a) What is the domain for statement coverage of P3? Note: do not include syntactical markers such as comments, {, }, else, begin, end. b) What is the statement coverage for T? c) What test cases should you add to T to provide 100% statement coverage? d) What is the domain for decision coverage of P3? e) What is the decision coverage for T? f) What test cases should you add to T to provide 100% decision coverage? g) What is the domain for condition coverage of P3? h) What is the condition coverage for T? i) What test cases should you add to T to provide 100% condition coverage? When measuring test coverage, normally coverage is expressed as a percentage. It can also be expressed as a fraction, and using an un-simplified fraction is preferred for this assignment. Note that when adding test cases, there are many possible test cases that satisfy the objective: provide 100% coverage for a given test criterion. Program P3 1) integer A, B, C; 2) input (A, B); 3) if (A<‐8 or A>8 or B<0 or B>3) 4) { 5) output ("Boundary condition failure on inputs."); 6) } 7) else // valid input 8) { 9) C = A * B; 10) if (A < 0) 11) { 12) C = C + A + B; 13) if (B > 1) 14) { 15) C = C + 3; 16) } // end if (B>1) 17) C = C * C; 18) } // end if (A<0) 19) else 20) { 21) C = C – A – B; 22) if (B == 1) 23) { 24) C = B * C; 25) } // end if (B=1) 26) else 27) { 28) C = B / C; 29) } // end else !(B=1) 30) C = C + 2; 31) } // end else !(A<0) 32) output (A, B, C); 33) } // end else valid input 34) return 0; 35) end;
Answers
The program P3 is analyzed for statement, decision, and condition coverage using a given test set T and identifying missing test cases. The program P3 is tested using a given test set T to achieve statement, decision, and condition coverage.
a) Statement coverage domain encompasses all individual statements in program P3, excluding syntactical markers.
b) The statement coverage for test set T is 60% because it covers 3 out of 5 statements present in the program.
c) To achieve 100% statement coverage, test cases should cover the remaining statements: 6, 17, and 31.
d) Decision coverage domain includes conditional statements and loops within the program.
e) The decision coverage for test set T is 75% as it covers 3 out of 4 decision points.
f) To achieve 100% decision coverage, test cases should cover the remaining decision points at statements 3, 10, 12, 13, 21, 22, 24, and 27. g) Condition coverage domain encompasses individual conditions within decision points.
h) The condition coverage for test set T is 83.33% as it covers 5 out of 6 conditions.
i) To achieve 100% condition coverage, test cases should cover the remaining conditions within decision points at statements 22, 23, 24, 26, and 27.
To learn more about condition click here: brainly.com/question/31602257
#SPJ11
Determine if the following statement is true or false. Alex calculated a correlation coefficient of -1.5. He made a mistake in his calculation since the correlation coefficient has to be between - 1 and 1. The statement is
(1) false
(2) true.
Answers
Answer:
(2) The statement is true.
-1 < r < 1
The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.
Answers
Answer:
1st , 2nd , and 4th
Step-by-step explanation:
The midpoint between x and 27 is -3
Answers
Answer: x = -33
Step-by-step explanation:
27 + 3 = 30
-3 - 30 = -33
Answer:
-33
Step-by-step explanation:
I already took it TwT
the letters A and B represent nonzero constants. solve ax + b = 58 for X
Answers
The given equation is solved to x as x=(58-b)/a.
The given equation is ax+b=58.
We need to solve the given equation for x.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, the equation ax+b=58 can be solved as follows:
Given equation:
ax+b=58
Now,
ax= 58-b
x=(58-b)/a
That is, x=(58-b)/a (when you bring a variable from LHS to RHS or vice versa the mathematical operations become inverse that is multiplication changes to division)
Therefore, the given equation is solved to x as x=(58-b)/a.
To learn more about an equation visit:
https://brainly.com/question/17466599
#SPJ1
Which statement regarding the number of solutions for the linear equation shown below is
true?
2x-13=2(x+13)
B.
A There is no solution.
There is exactly one solution.
C. There are exactly two solutions.
D. There are infinitely many solutions.
Answers
Answer:
A
Step-by-step explanation:
Please help me, thank you :)
Answers
Answer:
14+14 + 4pi= 28 + 4pi
\(\pi\)
Area of rectangle = 14*4= 56
Area of circle = 4pi
Add them together. 56 + 4pi = 68.6
Ben orders a cost of us tovorite macaroni and cheese. The case contains 18 same-
size boxes that weight a totçi of 7.2 pounds. Which set of equations represents the weight in
pounds, of each box bí mocaroni and cheese, z?
18z = 7.2
2= 25
18z = 7.2
z=0,4
7.2 = 18
z=25
72z=18
= 0.4
Answers
Answer:
highlighted answer is correct
Step-by-step explanation:
did i do good in this subject let me know
Answers
Each of the following events result in a tax payment. Which is an example of a direct tax?
A. Charles sells a 25-acre lot, which includes a barn.
B. Sammy stops to pump gas on a cross-country road trip.
C. Ingrid's cable bill contains extra fees that weren't listed in the plan.
D. Javier owes money to the federal government based on job earnings.
Answers
Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.
How Do Direct Taxes Work?A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.
Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.
Therefore, option D is correct.
Learn more about stimuli at:
https://brainly.com/question/25783927
#SPJ1
HELP PLEASE WILL GIVE BRAINLIEST
Answers
you should create a question for each problem
Answer:
In attachment
Step-by-step explanation:
See the attachment. They are much easier to solve if you set up a spreadsheet template and then copy that template for each problem. The inputs would be the two given points for each graph. Problem 3's slope is undefined, since it is a vertical line and the run is 0, no change in x. Since slope is "Rise/Run," this is dividing by zero, a No-No for mathematicians, as well as us chemists and other mortals.
The value of A is . The value of B is .
Answers
Answer:
The value of A is 10.0 inches The value of B is 35 inches
Step-by-step explanation:
a cube has one side that measures 6 cm what is the volume? And no this is not the same question
Answers
Answer: 216cm
Step-by-step explanation:
volume = 6×6×6 =216 cm
a red mustang is a(n) _____ of the car class.
Answers
INSTANCE.
In my opinion a red mustang is an instance of the car class.
You can learn more about this through the link below:
https://brainly.com/question/22143309#SPJ4
I WILL GIVE 30 POINTS!!!!!!
Answers
Answer:
Option D would be the correct answer:
Step-by-step explanation:
=> If we 15 is the why intercept, then it means when x = 0, y = 15. Now if the slope is 12.5x, it means that the graph is increasing by 12.5 units each time. This means if we say 15 + 12.5 + 12.5 (since we are given an x value for y = 2) we would get 40.00. And that we get, hence option D is the correct answer.
Hope this helps!
What is the relationship between the number of adult workers and the number of teenage workers injured in these fast food chains? Create an algebraic equation to describe the relationship.
Answers
The equation shows that the number of injuries is directly proportional to the number of workers involved in the fast food chains.
The relationship between the number of adult workers and the number of teenage workers injured in these fast food chains can be expressed using an algebraic equation.
Let the number of adult workers be represented by the variable 'A' and the number of teenage workers be represented by the variable 'T'.Let 'I' represent the number of injuries.
We can assume that the number of injuries is proportional to the number of workers involved in the fast food chains.
So, the relationship between the number of adult workers and the number of teenage workers injured in these fast food chains can be represented using the following algebraic equation:
\($\frac{I}{A+T} = k$$\)
where 'k' is the proportionality constant.
To know more about algebraic equation visit:
https://brainly.com/question/29131718
#SPJ11
schedule the following single instance processes, all ready at time 0, using the earliest-deadline first(edf) scheduler. show the schedule. (c is computation time, d is deadline).
task 1: c = 3, d = 15; task2: c = 2, d = 8; task 3: c = 15, d = 47.
suppose there is a new process 4 with d = 16. what is the maximum value of the computation time of the process 4 in order for it to be edf- schedulable together with the original 3 processes (that is, all processes meet their deadline) justify your answer.
Answers
The maximum value of the computation time for process 4 to be EDF-schedulable together with the original 3 processes is 4 units of time.
To schedule the processes using the Earliest-Deadline First (EDF) scheduler, we consider the computation time (c) and deadline (d) of each task.
Given:
Task 1: c = 3, d = 15
Task 2: c = 2, d = 8
Task 3: c = 15, d = 47
We schedule the tasks in increasing order of their deadlines, ensuring that tasks with earlier deadlines are executed first.
Schedule Task 2
Task 2: c = 2, d = 8
Schedule Task 1
Task 1: c = 3, d = 15
Schedule Task 3
Task 3: c = 15, d = 47
The resulting schedule is as follows:
Time 0 - 2: Task 2
Time 2 - 5: Task 1
Time 5 - 20: Task 3
Now, let's consider the addition of a new process, Process 4, with a deadline (d) of 16.
We need to determine the maximum computation time (c) for Process 4 to be EDF-schedulable, meaning all processes meet their deadlines.
Since Process 4 has the earliest deadline among all processes (d = 16), its execution time (c) must be less than or equal to the remaining time available until its deadline.
In the schedule above, Process 4 will start at Time 20 and has a deadline at Time 16.
Therefore, Process 4 can execute for a maximum of (16 - 20) = -4 units of time, which is not feasible.
A negative computation time is not possible.
Hence, there is no maximum computation time for Process 4 to be EDF-schedulable together with the original three processes.
Process 4 cannot be scheduled without violating its deadline in this scenario.
For similar question on computation time.
https://brainly.com/question/20290932
#SPJ11
A chi-square test of independence is a one-tailed test. The reason is that Multiple Choice we are testing whether the frequencies exceed their expected values. we square the deviations, so the test statistic lies at or above zero. hypothesis tests are one-tailed tests when dealing with sample data. the chi-square distribution is positively skewed.
Answers
A chi-square test of independence is indeed a one-tailed test. The reason for this is that we are testing whether the observed frequencies of two categorical variables are significantly different from the expected frequencies.
We square the deviations between the observed and expected frequencies, and since deviations can only be positive, the test statistic always lies at or above zero. Hypothesis tests are one-tailed when dealing with sample data because we have a specific direction for our research question. In the case of a chi-square test of independence, we are interested in whether one variable is dependent on the other variable, so we have a directional hypothesis. Furthermore, the chi-square distribution is positively skewed, meaning that the majority of the distribution is on the right-hand side. This is important to consider when interpreting the results of a chi-square test.
Know more about chi-square test here:
https://brainly.com/question/14082240
#SPJ11