The graph below does not represent a function. Explain why.

The Graph Below Does Not Represent A Function. Explain Why.

Answers

Answer 1

Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.

The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).

A function is only possible when any given input leads to exactly one output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.

In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.


Related Questions

The quotient of 36 and 9 multiplied by 7

Answers

Answer:

6

Step-by-step explanation:

6*9 = 54

6*6 = 36

6*7 = 42

solution - 12. The digit in the tens place of a two-digit number is three times that in the units place. If the digits are reversed, the new number will be 36 less than the original number. Find the original number. Check your solution.​

Answers

Answer:

62

Step-by-step explanation:

t=digit in the tens place

u=digit in the units place

t=3*u

original number=t*10+u

number with reversed digits=u*10+t

u*10+t=t*10+u-36

u*10+(3*u)=(3*u)*10+u-36

10u+3u-30u-u=-36

-18u=-36

u=2

t=3*u=6

Original number = 62

Check the solution:

6=3*2 ok

26=62-36 ok

Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?

Answers

Answer:

Location of W is - 23, location of X is - 9.

Step-by-step explanation:

location of V = - 16

Points W and X are each 7 units away from Point V.

Let the W is at left of V and X is right of V.

location of W = -16 - 7 = - 23

location of X = - 16 + 7 = - 9

A person invests $3,500 in an account that earns 7.5% interest compounded continuously. What is the value of the investment after 4 years?

Answers

I think it's: 4,674.14$

Answer:

A = $4724.36

Step-by-step explanation:

P = $3500

r = 7.5% = 0.075

t = 4years

n = 365

     [tex]A = P(1 + \frac{r}{n})^{nt}\\\\[/tex]

        [tex]=3500(1 + \frac{0.075}{365})^{365 \times 4}\\\\=3500(1.00020547945)^{365\times4}\\\\= 3500 \times 1.34981720868\\\\= 4724.36023037\\\\= \$ 4724.36[/tex]

Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y. 1) Viết các phán đoán sau đây dưới dạng công thức: a) Nhiều người yêu thương A. (Thay A bằng chính tên của em). b) A yêu thương nhiều người. (Thay A bằng chính tên của em).

Answers

Trường công nghiệp hả:’)

The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 10 Coffleton residents. Find the probability that exactly 4 of the 10 Coffleton residents recognize the brand name.

Answers

Answer:

16.9177%  or .169177

Step-by-step explanation:

Binomial i think

10C4*.54⁴*(1-.54)⁶= 16.9177%

The probability that exactly 4 of the 10 Coffleton residents recognize the brand bis 16.9177%  or .169177

What are the combinations?

Once the sequence of the results is irrelevant, combinations can be used to determine the overall number of effects of an event. The nCr algorithm, where n represents the number many items and r is the host of factors getting picked at a time, is used to compute combinations.

The information provided will be:

54% recognition rate in the town of Coffleton

He selects a random sample of 10 Coffleton residents

the probability that exactly 4 of the 10

will be found out with the help of the combination

[tex]^nC_r = n! / r! \times (n - r)![/tex]

[tex]^10C_ 4\time 0.54^4 \times (1-.54)^6[/tex]

= 16.9177%

The probability will be 16.9177%.

Learn more about combinations, here:

https://brainly.com/question/20211959

#SPJ2

A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2. Find the probability that a randomly selected value is between 66.4 and 241.6. P(66.4 < X < 241.6)

Answers

Answer:

P(66.4 < X < 241.6) = 0.5039 = 50.39%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2.

This means that [tex]\mu = 232.4, \sigma = 92.2[/tex]

Find the probability that a randomly selected value is between 66.4 and 241.6.

This is the p-value of Z when X = 241.6 subtracted by the p-value of Z when X = 66.4.

X = 241.6

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{241.6 - 232.4}{92.2}[/tex]

[tex]Z = 0.1[/tex]

[tex]Z = 0.1[/tex] has a p-value of 0.5398

X = 66.4

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{66.4 - 232.4}{92.2}[/tex]

[tex]Z = -1.8[/tex]

[tex]Z = -1.8[/tex] has a p-value of 0.0359

0.5398 - 0.0359 = 0.5039

P(66.4 < X < 241.6) = 0.5039 = 50.39%.

write cos2x as sinx
please help with this ​

Answers

Answer:

[tex]\cos(2\, x) = 1 - 2\, (\sin(x))^2[/tex].

Step-by-step explanation:

Angle sum identity for cosine: [tex]\cos(a + b) = \cos(a) \, \cos(b) - \sin(a) \, \sin(b)[/tex].

Pythagorean identity: [tex](\cos(a))^{2} + (\sin(a))^{2} = 1[/tex] for all real [tex]a[/tex].

Subtract [tex](\cos(x))^{2}[/tex] from both sides of the Pythagorean identity to obtain: [tex](\sin(a))^{2} = 1 - (\cos(a))^{2}[/tex].

Apply angle sum identity to rewrite [tex]\cos(2\, x)[/tex].

[tex]\begin{aligned}&\cos(2\, x)\\ &= \cos(x + x) \\ &= \cos(x) \, \cos(x) - \sin(x)\, \sin(x) \\ &= (\cos(x))^{2} + (\sin(x))^{2}\end{aligned}[/tex].

[tex](\sin(a))^{2} = 1 - (\cos(a))^{2}[/tex] follows from the Pythagorean identity. Hence, it would be possible to replace the [tex](\cos(x))^{2}[/tex] in the previous expression with [tex](1 - (\sin(x))^{2})[/tex].

[tex]\begin{aligned}&(\cos(x))^{2} - (\sin(x))^{2}\\ &= \left[1 - (\sin(x))^{2}\right] - (\sin(x))^{2} \\ &= 1 - 2\, (\sin(x))^{2} \end{aligned}[/tex].

Conclusion:

[tex]\begin{aligned}&\cos(2\, x) \\ &= (\cos(x))^{2} + (\sin(x))^{2} \\ &=1 - 2\, (\sin(x))^{2}\end{aligned}[/tex]

the volume of a cylinder is 44cm3. find the volume of another cylinder of the same height and double the base radius

Answers

So what you need to do is form another cylinder that has a volume of 44cm3 and then double the base size by the radius.

Answer:

[tex]Volume \ of \ other\ cylinder = 176 \ cm^3[/tex]

Step-by-step explanation:

Let the volume of cylinder Vₐ = 44cm³

Let radius of cylinder " a " be = rₐ

Let height of  cylinder " b" be = hₐ

     [tex]Volume_a = \pi r_a^2 h_a\\\\44 = \pi r_a^2 h_a[/tex]

Given cylinder " b ", Radius is twice cylinder " a " , that is [tex]r_b = 2 r_a[/tex]

Also Height of cylinder " b " is same as cylinder " a " , that is [tex]h_b = h_a[/tex]

       [tex]Volume_b = \pi r_b^2 h_b[/tex]

                     [tex]= \pi (2r_a)^2 h_a\\\\=4 \times \pi r_a^2 h_a\\\\= 4 \times 44\\\\= 176 \ cm^3[/tex]

How to solve and answer

Answers

Answer:

D.   (-2, 0) and (3, 0).

Step-by-step explanation:

At the x -intercepts the function = 0, so

(2x + 4)(x - 3) = 0

2x + 4 = 0 and x - 3 = 0

x = -4/2 = -2 and x = 3.

So they are (-2, 0) and (3, 0).

x = 3 or x = -2

Step-by-step explanation:

f(x) = (2x + 4)(x - 3)

y = (2x + 4)(x - 3)

x - intercept occurs when y = 0

0 = (2x + 4)(x - 3)

0 = 2x² - 6x + 4x - 12

2x² - 2x - 12 = 0

(2x² - 2x - 12)/2 = 0/2

x² - x - 6 = 0

From the quadratic formula,

x = (-b +- √(b² - 4ac))/2a

x = (- ( -1 ) +- √(( -1)² - 4( 1 )( -6 )))/2( -1 )

x = (1 +- √(1 - ( -24)))/-2

x = (1 +- √25)/-2

x = (1 +- 5)/-2

x = 3 or x = -2

A study examines the relationship between educational preparation and scores on a cultural competency exam. Subjects included are nurses with an associate's degree, nurses with a baccalaureate degree, nurses with a master's degree, and nurses with a doctoral degree. In this example, cultural competency is measured at what level?

a. Dependent variable
b. Independent variable
c. Outcome
d. Significant variable

Answers

Answer:

b. Independent variable

Step-by-step explanation:

Understanding the definition of variables is necessary to grasp the notion of independent and dependent variables. The attributes or sorts of features of specific occurrences or things are specified as variables.

Independent variables are variables that are modified or altered by researchers and the consequences of these modifications are evaluated and compared. 

The term dependent variable relates to a sort of variable that assesses how the independent variable(s) impact the test results.

From the given information:

Education level is the predictor since we understand that nurses' education levels are closely correlated with their cultural competence scores. By applying the concept of the logistic regression model and using education level as an independent variable(predictor), we can simply predict their cultural competency. Thus, cultural competency is measured by using the independent variable.

Select the correct answer.
What is the solution to this equation?
g^x-1=2

A. -1/2
B. 1/2
C. 2
D. 1

Answers

9514 1404 393

Answer:

  B.  1/2

Step-by-step explanation:

Maybe you want  the solution to ...

  [tex]9^x-1=2[/tex]

You can use logarithms, or your knowledge of powers of 3 to solve this.

  [tex]9^x=3\qquad\text{add 1}\\\\3^{2x}=3^1\qquad\text{express as powers of 3}\\\\2x=1\qquad\text{equate exponents of the same base}\\\\\boxed{x=\dfrac{1}{2}}\qquad\text{divide by 2}[/tex]

Using logarithms, the solution looks like ...

  [tex]x\cdot\log{9}=\log{3}\\\\x=\dfrac{\log{3}}{\log{9}}=\dfrac{1}{2}[/tex]

At the end of a snowstorm, Jamal had 18 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Jamal have on his lawn 5 hours after the snow began to melt? How much snow would Jamal have on his lawn after tt hours of snow melting?

Answers

Answer:

Part 1)

5.5 inches.

Part 2)

[tex]y=-2.5t+18[/tex]

Step-by-step explanation:

We can write a linear equation to model the function.

Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.

A linear equation is in the form:

[tex]y=mt+b[/tex]

Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.

Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.

Substitute:

[tex]y=-2.5t+18[/tex]

This equation models how much snow Jamal will have on his lawn after t hours of snow melting.

So, after five hours, t = 5. Substitute and evaluate:

[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]

After five hours, there will still be 5.5 inches of snow.

a binomial distribution
has 30% rate of SUCCESS.
there are 6 triats. what
is probability that there
will be exactly 2 Successes

Answers

Answer:

0.324

Step-by-step explanation:

Given that :

Success rate = 30%

p = 30% = 0.3

q = 1 - p = 1 - 0.3 = 0.7

Number of trials, n = 6

Probability of having exactly 2 successes ; x = 2

P(x = 2)

Usibgbtge binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.3^2 * 0.7^4

P(x = 2) = 15 * 0.3^2 * 0.7^4

P(x = 2). = 0.324135

P(x = 2) = 0.324

PLEASE HELP ME
Challenge In a​ company, 85 ​% of the workers are woman . If 585 people work for the company who​ aren't woman ​, how many workers are there in​ all?
there are ___ workers in all

Answers

Answer:

3900

Step-by-step explanation:

let x= number of workers

we know that .15 (or 1-.85) of the people are not women

so

.15x=585

585/.15=x

3900=x

The harmonic mean of two real numbers x and y equals 2xy/(x + y). By computing the harmonic and geometric means of different pairs of positive real numbers, formulate a conjecture about their relative sizes and prove your conjecture.

Answers

Answer:

Conjecture :  2xy / ( x + y ) ≤  √xy

Step-by-step explanation:

Harmonic mean of  x and y = 2xy/( x + y )

Formulate a conjecture about their relative sizes

we will achieve this by computing harmonic and geometric means

Geometric mean = √xy

harmonic mean = 2xy/( x + y )

Conjecture :  2xy / ( x + y ) ≤  √xy

attached below is the proof

Which type of parent function is f(x) =1/2​

Answers

Answer:

I think you are missing something unless the answer is a horizontal line.

Step-by-step explanation:

Answer:

square root

Step-by-step explanation:

just took the test :)

COMPUTE THE PROBABILITY. If, in a typical work day, a staff member receives 34 emails, what is the probabilitythat in a 5-day work week she will receive less than 175 emails?​

Answers

The answer is A
I just took the test

A company wants to estimate, at a 95% confidence level, the proportion of all families who own its product. A preliminary sample showed that 30.0% of the families in this sample own this company's product. The sample size that would limit the margin of error to be within 0.047 of the population proportion is:

Answers

Answer:

The sample size is of 366.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A preliminary sample showed that 30.0% of the families in this sample own this company's product.

This means that [tex]\pi = 0.3[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The sample size that would limit the margin of error to be within 0.047 of the population proportion is:

This is n for which [tex]M = 0.047[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.047 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.047\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.047}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.047})^2[/tex]

[tex]n = 365.2[/tex]

Rounding up:

The sample size is of 366.

Tasha needs 75 liters of a 40% solution of alcohol. She has a 20% and a 50% solution available. How many liters of the 20% and how many liters of the 50% solutions should she mix to make the 40% solution?

Answers

Answer:

25 liters of 20%

50 liters of 50%

Step-by-step explanation:

x = liters of 50%

75 - x = liters of 20%

50x + 20(75 - x) = 40(75)

50x + 1500 - 20x = 3000

30x = 1500

x = 50

75 - x = 25

Solve the equation.
(X-5)(x + 7) = 0
X=
-D
(Use a comma 6 separate answers as needed.)

Answers

9514 1404 393

Answer:

  x = -7, 5

Step-by-step explanation:

The equation is written as a product equal to zero. The "zero product rule" tells us that a product is zero if and only if one or more factors are zero. Each factor will be zero when x takes on a value equal to the opposite of the constant in that factor.

  x -5 = 0   ⇒   x = 5

  x +7 = 0   ⇒   x = -7

The solutions to the equation are x = -7, 5.

Force: F = MA; Solve for m.

Answers

mass = force / area

this is second law of motion ( Newton's 2nd law)

[tex]\longrightarrow{\blue{ m = \frac{F}{a} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Explanation}}{\red{:}}}}}[/tex]

F = ma

➺ m = [tex]\frac{F}{a} [/tex]

where,

F = Force

m = mass

a = acceleration

"F = ma" is Newton's second law of motion, which states that force is equal to mass times acceleration.

The SI unit of force is newton, symbol N.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

The set (AB) (B-C) is equal to

Answers

Answer:

AB^2- AC.

Step-by-step explanation:

I'm not sure if this question is complete, but when two separate variables are placed in brackets side by side, then it means they need to be expanded.

Therefore, expanding the bracket gives us:

(AB) (B-C)=

AB^2- AC.

This is the answer, if the only task needed is to expand the brackets.

In a Louisiana chili cook-off, 18 of the 40 chilis included two types of beans.

A photo of multiple crock pots on a long table is shown. The caption says chili cook-off.

What percentage of the chilis did not include two types of beans?

Enter the correct answer in the box.


Answers

Answer:

55%

Step-by-step explanation:

18 out of 40 include chili.

So 22 has no chili

22/40 = 0.55 or 55%

When choosing a four-number PIN.
(personal identification number)
how many different PINS are possible?

(The choice of digits 0-9 are available for each number.)

Answers

Answer:

10,000 different PINS are possible

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Four each digit on the PIN, there are 10 possible outcomes. The digits are independent. So, by the fundamental counting principle:

[tex]T = 10^4 = 10000[/tex]

10,000 different PINS are possible

How do I do this question?

Answers

Answer:

3rd Option

Step-by-step explanation:

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} [/tex]

[tex] = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} [/tex]

[tex] = 9 \sqrt{2} (ans)[/tex]

So are you good at maths then what is
[tex]4 \times 6 + 9 - 46 + 54 - 13[/tex]
1. 71
2. 42
3. 63
4. 28
5. 35
6. 14​

Answers

maybe 28 is the answer...

Answer: 28

Order of operations is key here. So multiply first. Then you just add/subtract left to right.

24 + 9 - 46 + 54 - 13
33 - 46 + 54 - 13
-13 + 54 - 13
41 - 13
= 28

Find the area of the isosceles trapezoid shown below.
9 cm
6 cm
4.5 cm

Answers

Answer:

area = 40.5 cm^2

Step-by-step explanation:

A quick calculation tells me it is none of them

Area = 6*(9 + 4.5) / 2

Area = 3*13.5

Area = 40.5

11 Roger has m toy cars. Don has twice as many cars as Roger. Larry has five more cars than Roger. Write down an expression, in terms of m, to complete each statement. Don has cars H Larry has cars​

Answers

Step-by-step explanation:

Roger has m toy cars.

Number of cars Roger has = m

Don has twice as many cars as Roger.

→ Number of cars Don has = 2(Cars Roger has)

Number of cars Don has = 2m

Larry has five more cars than Roger.

→ Number of cars Larry has = 5 + (Cars Roger has)

Number of cars Larry has = 5 + m

Answer the following: a) 2x32 =
b) (2 x 3)2 =

Answers

Answer:

a) 64 b) 12

Step-by-step explanation:

32 + 32 = 64

2*3 = 6

6*2 = 12

Answer:

a) 64 b) 12

Step-by-step explanation:

The answer for a is simple the answer is 64 just multipy 32 with 2 and the second one first you have to solve he answer iin the bracket then the answer you get from the bracket you will have to multiply with the number outside the bracket which is 2 and the answer you get will be 12.

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Be sure to review the assessment criteria below before beginning your paper. Cite any reference(s) you use in the preparation of your essay using proper APA format. Refer to the UoPeople APA Tutorials in the LRC for help with APA citations.Written Assignment Peer AssessmentIn the unit following the submission of your written assignment, you will peer assess three (3) of your classmates assignments according to the instructions found in the Assessment Form. During this peer assessment period, you are expected to provide details in the feedback section of the Assessment Form, indicating why you awarded the grade that you did to your peer. The written assignment grade is comprised of a combination of your submission (90%) and your peer assessments (10%).Written Assignment Peer Assessment RubricFor this assignment, your peers will be evaluating your work with the following criteria.An organization is chosen and a particular conflict of interest is identified.Laws pertaining to the particular COI have been located and described. If no laws are described, reasons are provided.Organizational policies pertaining to the COI are discussed, particularly the main features of the policy.Ways that managers can use both policy and the existing laws in your home country to discourage employees seeking their own interests over that of the employer are discussed.The paper addresses the questions: do laws and policies help promote ethical behavior? Do you feel that the laws, as they are currently, are sufficient and effective?The paper suggests ways that the laws and/or policies could be improved to both motivate employees to pursue the interests of their employers, as well as to minimize the costs of employers complying with or enforcing the laws.Writing Organization and Clarity - the ideas are arranged logically to support the purpose or argument. Ideas presented flow smoothly from one to another and are clearly linked to each other. Writing is clear and it is of high-quality.Written Assignment conforms to the structural requirements including APA style guidelines for references.