what does it mean to be a function how can you determine functionality of a relation or eqaution graph

Answers

Answer 1
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

Related Questions

What is B^y=x in logarithmic form?

Answers

Answer:

The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, “y equals log to the base b of x,” or more simply, “y equals log base b of x.” As with exponential functions, b > 0 and b ≠ 1

Step-by-step explanation:

ttygytex x so r5f3ygthttg

Which direction am I going if I drive from Washington DC to Dallas texas

Answers

Answer:

north

Step-by-step explanation:

Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = −6.

Answers

The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]

How to determine the equation?

Generally, a point is represented as:

(x,y)

The line x = -6 means that:

(-6, y)

So, we calculate the distance between (x,y) and (-6, y) as follows:

[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]

This gives

[tex]d = \sqrt{(x + 6)^2 }[/tex]

Next, we calculate the distance between (6,0) and (x, y) as follows:

[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]

This gives

[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]

Equate both distance expressions

[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]

Square both sides

[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]

Expand

[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]

Evaluate the like terms

[tex]12x = - 12x + y^2[/tex]

Add 12x to both sides

[tex]y^2 = 24x[/tex]

Make x the subject.

[tex]x = \frac 1{24}y^2[/tex]

Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]

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Give the values of the coefficients [a], [b], and [c] regarding the product in the form of ax^2+bx+c. Use "0" if the term isn't present.

Answers

Answer:  a = 1, b = 0, c = -49

==================================================

Explanation:

Expand out the expression using the FOIL rule

(x+7)(x-7)

x^2 - 7x + 7x - 49

1x^2 + 0x - 49

We see that a = 1, b = 0, c = -49

-------------

Another way to expand is to do the following

(x+7)(x-7)

y(x-7) .... let y = x+7

xy - 7y .... distribute

x( y ) - 7( y )

x( x+7 ) - 7( x + 7 ) ... replace y with x+7

x^2 + 7x - 7x - 49 .... distribute

1x^2 + 0x - 49

We get the same result.

-------------

Lastly, a shortcut can be used as yet another method to expand.

The shortcut is the difference of squares rule

(a + b)(a - b) = a^2 - b^2

In this case, a = x and b = 7, so,

(a + b)(a - b) = a^2 - b^2

(x + 7)(x - 7) = x^2 - 7^2

(x + 7)(x - 7) = x^2 - 49

(x + 7)(x - 7) = 1x^2 + 0x - 49

4x <64 what is the answer

Answers

Answer:

x < 16

Step-by-step explanation:

4x < 64

To solve for x, we simply divide by 4 on both sides. This results us with:

x < 16

#teamtrees #WAP (Water And Plant)

4x <64

Divide both sides by 4:

x < 16

helllppp meee please

Answers

Answer:

2, 3, 6, 7

Step-by-step explanation:

Collateral can be beneficial for borrowers when applying for a loan by
a. offering lenders additional financial gain if borrowers defaults on their loans
b. lessening the total loan amount, making it easier for borrowers to be approved
C. giving lenders protection against financial loss and more reason to approve loans
d. demonstrating that borrowers have ownership of high-end goods and can obviously make their
loan payments
Please select the best answer from the choices provided.
A
B
C
D


Answers

The answers is C. Giving lenders protection against financial loss and more reason to approve loans

When applying a loan, Collateral can be beneficial to the borrower because:   (C). giving lenders protection against financial loss and more reason to approve loans

Meaning of Loan and collateral

Loan is a form of debt incurred by an individual as a result of recieving money from an individual or organization that will repaid within a definite period.

collateral can be defined as any asset (example: car, house, land etc) that is offered by the borrower to the lender to secure a loan.

it is very important because the lender is secured that if you cant repay the loan he takes the asset.

In conclusion, when taking a loan, collateral is important.

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Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?

Answers

Answer:

1.15 miles

Step-by-step explanation:

Answer:

24/20

Step-by-step explanation:

Changed denominator to 20 since 4 and 5  both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1  1/5/ Hope this helps!

f(x) = 72-12x what is the domain and range

Answers

Answer:

The domain is x and the range is f(x)

Step-by-step explanation:

See attachment for answer:

Explanation:

Is undefined in other words “do not exist”



what is the solution to this equation: 5x to the 2 power - 36x - 81 = ?

Answers

Answer:

5x² - 36x - 81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Combining Like TermsStandard Form: ax² + bx + c = 0

Step-by-step explanation:

Step 1: Define expression

5x² - 36x - 81

Step 2: Simplify

We cannot simplify the expression down further.

1 point
The weights of laboratory cockroaches follow a Normal distribution with
mean 80 grams and standard deviation 2 grams. Use the figure from above.
About what percent of the cockroaches have weights less than 78 grams?
16%
none of these
32%
34%
O 2.5%

Answers

Answer:

16% of the cockroaches have weights less than 78 grams.

Option A is correct.

Step-by-step explanation:

Mean = 80 g

Standard Deviation = 2

We need to find percent of the cockroaches have weights less than 78 grams so, x=78

First we will find z using formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Putting values of x, mean and Standard Deviation to find z

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]

We need to find P(z<-1)

Looking in the normal distribution table

[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]

So, 16% of the cockroaches have weights less than 78 grams.

Option A is correct.

The subset of the sample space probability experiment

Answers

Step-by-step explanation:

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.

The measure of the angle is 44 times greater than its supplement.
What is the measure of the​ supplement?

Answers

Answer: The measure of it's supplement is 4°

Step-by-step explanation:

If an angle is 44 times is supplement, then we can represent it by the equation   x = 44y    where  x is the angle and y is it's supplement.

Supplementary angles add up to 180 degrees, meaning that  x + y = 180.

  x = 44y  

x + y = 180  

Using both equations substitute the value for x in the first equation, into the second equation and solve for y.

 

44y + y = 180           Combine like terms on the left side

   45y = 180        Divide both sides   45

 y = 4  

This means the measure of it's supplement is 4 degrees.

Now input 4 into one of the equations for  y and solve for x to find the main angle.

x = 44(4)

x = 176  

This also means that the angle itself is 176 degrees.

The measure of the supplementary angle is 4°.

It is given that the measure of the angle is 44 times greater than its supplement.

We have to find out the measure of the supplement.

What are supplementary angles ?

Two angles are said to be supplementary angles if the sum of two angles is 180°.

As per the question ;

The measure of the angle is 44 times greater than its supplement.

Let's assume the supplementary angle is x .

So,

The other angle will be 44 × x .

We know that sum of two angles if they are supplementary is 180°.

x + 44 x = 180 °

⇒ 45 x = 180°

⇒ x = 180 ÷ 45

x = 4°

And the other angle will be ;

= 44 × 4

= 176°

Thus , the measure of the supplementary angle is 4°.

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Geometry: Express the area of each figure as a monomial. I need help with this, anyone? ​

Answers

Answer:

answer 28ab³ I think maybe

The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

Here,

The formula to calculate the area of a right-angled triangle is:

Area = (1/2) * base * height

In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].

Now, let's substitute these values into the formula:

Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]

Now, simplify the expression:

Area = [tex]2 * a^2b * 6ab^3[/tex]

To find the monomial representation, multiply the coefficients and add the exponents of like terms:

Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]

Finally, simplify the exponents:

Area = [tex]12a^3b^4[/tex]

So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

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FINANCE

2. Which of the following statements is FALSE?

A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are

Answers

Answer: I think its C

Step-by-step explanation:

Wes had 4.75 in quarters and dimes if he had 25 coins how many of each did he have?

Answers

Answer:it would be 15 quarters and 10 dimes

Step-by-step explanation:

15 quarters is 3.75 and 10 dimes is $1, add them up you get $ 4.75

Answer:

15 quarters and 10 dimes

Step-by-step explanation:

25x + 10(25-x) = 475

x = 225/15

x = 15

So that has to mean he has 10 dimes

Hope this helps!!!

4x - 3y = 1
-8x + 6y = -2

Answers

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x - 3y = 1

-8x + 6y = -2

Step 2: Rewrite systems

-8x + 6y = -2

Add 8x to both sides:                   6y = 8x - 2Divide 6 on both sides:                y = 4/3x - 1/3

Step 3: Redefine systems

4x - 3y = 1

y = 4/3x - 1/3

Step 4: Solve for x

Substitution

Substitute in y:                         4x - 3(4/3x - 1/3) = 1Distribute -3:                            4x - 4x + 1 = 1Combine like terms:                1 = 1

Here we see that 1 does indeed equal 1.

∴ x = all real numbers/infinite amount of solutions

Step 5: Graph

Check the systems.

We see that the 2 equations are the same line.

15 kg equals how many grams

Answers

Answer:

15,000g

Step-by-step explanation:

Answer: 15000 grams

Step-by-step explanation: To convert Kilograms to Grams, you'll need to multiply the mass value by 1000.

What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.

A triangle has a base of 16 inches and a height of 16 inches.

_____ in²

Answers

Answer:

I believe the answer is the triangle has an area of 256 inches. I may be wrong though.

Step-by-step explanation:

Answer:

128  in²   but only type 128 to complete the answer

Step-by-step explanation:

Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies.

Answers

Answer:

67

Step-by-step explanation:

You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.

Do you guys know this?

Answers

Answer:

3

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's look at g(3) first. It is stated in the problem that g(3) = 2.

We then use this value for f(x). It is stated in the problem that f(2) = 3.

The answer is 3.

(Ill give brainliest if u help!)


Which equation has a value less than 54,811?


A) 54,811 x 2 = ________

B) 54,811 x one and two fourths = ________

C) 54,811 x 1 = ________

D) 54,811 x two fourths = ________

Answers

Answer:

Answer is D

Step-by-step explanation:

Answer:

The answer would be D.

Step-by-step explanation:

(45x-7)4x=57 solve this and ill make out with you

Answers

Answer:

After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Step-by-step explanation:

We need to solve the equation: [tex](45x-7)4x=57[/tex]

Solving:

[tex](45x-7)4x=57[/tex]

Multiply 4x with terms inside the bracket

[tex]180x^2-28x=57[/tex]

[tex]180x^2-28x-57=0[/tex]

We need to solve above equation to find value of x

Using quadratic formula for finding value of x: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=180, b=-28 and c=-57

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490[/tex]

Values of x are [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

So, After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

4. Victoria fills a 15-gallon pool. She has a 2-liter
bucket she uses to fill the pool. If 1 gallon is
approximately 3.79 liters, what is the
maximum number of full buckets Victoria can
pour into the pool without it overflowing?
A. 56 buckets
B. 57 buckets
C. 28 buckets
D. 29 buckets

Answers

C
Because when you multiply dkdjended

Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.

Answers

Answer:

n+n= 2n

[tex](3n) ^{2} = 9n ^{2} [/tex]

5(n+2)=5n+10

2(n+1)=2n+1

[tex]n \div 4 = \frac{n}{4} [/tex]

[tex]n(n - 2 = n{2} - 2n[/tex]

can you help me out​

Answers

Answer:

$36

Step-by-step explanation:

Answer:

$36.

Step-by-step explanation:

(Hot dog) 2 for 5: Unit price is 5/2 = 2.5

(Soda) 3 for 3 so unit price is 1 for 1.

6 sodas = 6 dollars

12 Hot dogs = 12. x 2.5 = 30 dollars.

Price for both = 30 + 6 = 36.

What is the solution for y=2x+3, y=2x-3

Answers

Answer:.

Step-by-step explanation:

I need help again please help me with this question

Answers

Answer:

The size of a sundae and the amount of calories it contains.

Step-by-step explanation:

The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.

When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all

why was mom now saying that Augie did not have to go to school​

Answers

Answer:

Is there suppose to be a picture?

Step-by-step explanation:

Answer:

Because she liked Augle more than the other child

Step-by-step explanation:

She didn't want him to go to school so that she could spend the day with her favorite child

what is the correct evaluation of 3x-x+2,when x is equal to -4?

14

-6

6

-14​

Answers

Answer:

The answer is -6.

Step-by-step explanation:

You have to substitute x = -4 into the expressions :

3x - x + 2

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

= -12 + 4 + 2

= -6

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Please help ASAP:) is really need some help! please help meWhich one of the following college courses would most benefit an aspiring political correspondent?Expository Writing for Digital PublicationsReagan-omics and the Trickle Down TheoryInterpersonal CommunicationMass Media and the Shift to a Global Community Stefan is reading scientific articles and research reports to answer his research question for a paper. What should Stefan do when he encounters scientific words in the texts?A)Find out the meanings of most of the scientific words in all the articles.B)Guess at the meanings of the scientific words he doesnt know.C) Learn the precise meanings of the scientific words that apply to his topic.D) Memorize the precise meanings of all scientific words in all the articles. Which theoretical perspective views the family as a living thing, with each component influencing all of the others? PLEASE HELP I'M NOT DOING SO WELL IN SCHOOL AND THIS IS MY LAST CHANCE TO SHOW MY PARENTS I'M NOT A FAILER. ;-;1. Which event led to the arrest and imprisonment of many National Womens Party activists?a. repeatedly picketing the White Houseb. starting a hunger strikec. lobbying Congress for gender equalityd. organizing a march in Washington, D.C.4. What would be different about Rosa Parks police report, compared to an essay summarizing the Montgomery Bus Boycott?a. The police report would include facts about how the public reacted to the incident.b. The police report would only provide details of the event at the time it occurred.c. The essay summarizing the bus boycott would be more accurate and reliable.d. The essay would include many more specific details about the incident. Assume that the risk-free rate is 4% and the required return on the market is 11%. What is the required rate of return on a stock with a beta of 1.9 You are hanging on to the edge of a merry-go-round, and must exert a force of 100 N to hang on. If the speed of the merry-go-round doubles, how much force will you need to exert to hang on? Line v passes through point (6, 6) and is perpendicular to the graph of y = 3/4x 11. Line w is parallel to line v and passes through point (6, 10). Which is the equation of line w in slope-intercept form?a. y = 3/4x + 2b. y = 3/4x + 2c. y = 4/3x + 2d. y = 4/3x + 2 What is the difference between interplanting and intercropping? At the city museum child admission is $5.40 and adult admission is $9.40. On Wednesday, 168 tickets were sold for a total sales of $1199.20. How many adult tickets were sold that day? What could you learn by comparing the relative locations of archaeological sites? distinguish between the geosphere and hydrosphere rewrite in simplest terms. 8(-5d-9) -3(-6d+10) Read the elapsed time on the stopwatch and answer the questions.In which digit is there the least amount of confidence? How many significant figures does this measurement have? I need help quick What do the slope and y-intercept of a real-world linear function represent? >Dey.11 Find the volume of the solid. *7) Some years back, a number of manufacturers of low-end, inexpensive cell phones started introducing their products into the Eastern African market. David, the owner of a medium-sized firm manufacturing mid-priced cell phones, believes the Eastern African market is now ready for slightly more expensive phones with greater functionality. If he's right, David has identified a(n): Round 6.1 to the nearest whole number. Find the equation of a line that passes through the points (-1,-3) and (1,-5).Leave your answer in the form y = mx + c