Mathematics High School

Determine whether the relation y^2 - 4x = 3 represents y as a function of x ​

Answers

Answer 1

Answer:

The relation [tex]y^{2} - 4x = 3[/tex] does not represent y as a function of x.

Step-by-step explanation:

Consider the relation

[tex]y^{2} - 4x = 3[/tex]

[tex]y=\pm \sqrt{4x+3}[/tex]

Thus, the equation [tex]y=\pm \sqrt{4x+3}[/tex] does not represent function because there is at least one x-value with two or more values.

For example, if you look at the attached graph,

at x = 0, y = 1.73

at x = 0 , y = -1.73

It means the same input is generating two outputs; also if we draw a vertical line on the graph, the vertical line would intersect the graph more than once.

Please check the red vertical line on the graph would intersect the graph more than once.

Therefore, the relation [tex]y^{2} - 4x = 3[/tex] does not represent y as a function of x.

Determine Whether The Relation Y^2 - 4x = 3 Represents Y As A Function Of X

Related Questions

7000000000000000000000 people ate 800 pizzas how many slices would each person get?

Answers

Hello! I may be wrong, I’m just going off the calculator LOL. I got:

5.6e+24

Hope this helps!

A map is drawn using a scale of 1cm/80 mi
Two cities are 280 miles apart
How far apart are the cities on the map?

Answers

Answer:

280/80 = 28/8 = 7/2 = 3.5 cm

Step-by-step explanation:

the ratio is 1cm/80mi = a cm/280mi

so you get 280cm * mi = 80mi*a cm

so a = 280/80 = 3.5  

48 cities three have a lake and 23 have a river running through them what fraction of these 48 cities have a lake or a river running through the show your work

Answers

3/48 + 23/48 = 25/48 25 cities have a lake/river going through them

Look at the problem above and please tell me which is correct

Answers

I think it's the third 4 ( а² + 2а ) + 9

The answer should be C

What value(s) of x make the equation x2 - 18x + 81 = 0 true?

9

-9, 9

0, 9

0, -9, 9

Answers

Answer:

the answer is 9

Step-by-step explanation:

just took a test about it

Answer:

A. 9

Step-by-step explanation:

100% correct on edge

please mark brainliest:)

Help me solve this ! Thank you ,

Answers

Answer:

170.8

Step-by-step explanation:

Divide. Write your answer as a fraction in simplest form.

9 3/4 ÷ 4 1/2

Answers

Answer:

2 1/6

Step-by-step explanation:

9 3/4÷ 4 1/2

9×4+3/4÷ 4 1/2

36+3/4÷ 4 1/2

39/4÷ 4 1/2

39/4÷4×2+1/2

39/4 ÷ 8+1/2

39/4÷9/2

39/4× 2/9

39×2/ 4×9

78/4×9

78/36

13/6

2 1/6

The price of a wakeboard that regularly sells for $600 is reduced to $528 by what percentage is the price reduced?

Answers

Answer:

12%

Step-by-step explanation:

600-528=72. (subtract)

72/600= 3/25. (simplify)

3/25 = 12%. ( convert to percent)

(answer accuracy not garunteed)

Answer:

600-528 = 72

72/600 = 0.12

0.12 X 100 = 12 %

It is reduced by 12 %

A number plus 17 is 25 algebraic expression

Answers

Answer:

x + 17 = 25

Step-by-step explanation:

x is "a number" and you just add it to 17. (Also the answer would be 8 if you need to solve it too)

The algebraic expression is x + 17 = 25 and the number is 8 if the number plus 17 is 25.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have:

A number plus 17 is 25 algebraic expressions:

Let x be the number:

x + 17 = 25

After solving:

x = 25 - 17

x = 8

Thus, the algebraic expression is x + 17 = 25 and the number is 8 if the number plus 17 is 25.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2


[tex] \frac{3 {c}^{3}d }{9c {d}^{ - 1} } [/tex]
I dont really understand how to do this fully. I just need to simplify it. ​

Answers

i’m sure the answer is c^2d^2/3

PLSS HELP ILL GIVE BRAINLIEST IF YOU HELP ME AND EXPLAIN UR ANSWER

Answers

Answer:

It is the second choice.

Step-by-step explanation:

Divide both side by pi r squared. Boom.

Answer:

h = V/πr²

Step-by-step explanation:

Its asking you to isolate h. You can simply divide on the right besides h on both sides.

V = πr²h

V/πr² = h

The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?

Answers

Answer

10.25

Step-by-step explanation:

pls mark me as brainliest its required :)

The answer to this question is 10.25

Which side lengths form a right triangle chose all that apply

Answers

Answer:

b

Step-by-step explanation:

only b is true

For khan academy. Need help . Explain if you can

Answers

Answer:

y = 2/3x + 1.5

Step-by-step explanation:

The Formula for that is

y = mx + b

m = slope

b =  y -intercept

so to find the slope I would do y/x or rise over run

So your slope is 2/3 ( it goes up 2 and right 3 times)

Since the line is going up and not down, it is a positive slope

y = 2/3x + b

we need to find where the line crosses the  vertical / y-axis and it's at the point.... (0,1.5)

y = 2/3x + 1.5

Hope this helped a little!

Please help with work

Answers

Answer


If one of your options are six then choose it

if anyone answer this question correctly will get 100 points and a marked brainllest at 1:02 just add me and answer below and its yours.

Answers

Answer:

okk thanks for free points

.............

Answer:

1. -2

2. -3

3.

a. 155x+375 >= 900

b. x>=3.38709677. or technically >=4 because you get payed at the end of a week?

Step-by-step explanation:

1. (y-y)/)x-x)

2. same thing

3 a. 155 is the rate, 375 is the starting value

b. subtract 375, divide by 155

which one is greater , 65% or 3/5

Answers

Answer:

Step-by-step explanation:

65%  is greater

PLEASE HELP
Brandon enters bike races. He bikes 7 1/2 miles every 1/2 hour. complete the table to find out how far Brandon bikes for each time interval

Answers

Distance || times (h)
7 1/2 || 1/2
15 || 1
22 1/2 || 1 1/2
30 || 2
37 1/2 || 2 1/2


Answer:

12. Since there is no table given I will assume that what you want me to do is to show that Unit rate of Brandon’s biking. SO here are the data that we need: => 8 and ½ miles = 8.5 miles => ½ hour = .5 hours or 30 minutes Now, let’s solve for the unit rate => SO in every 30 minutes he bikes around 8.5 miles => Since 1 hour is equals to 30 minutes, simply multiply 8.5 by 2 => 8.5 * 2 = 17miles => 17 miles / hour

Step-by-step explanation:

divide 612 by 12  

>O<

9)

Use VSEPR to predict the electron-pair geometry of N2.

A)

linear

B)

trigonal planar

C)

tetrahedral

D)

trigonal bipyramidal

Answers

Answer:

tetrahedral

Step-by-step explanation:

According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.

The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.

If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.

Tommy's auto mall needs to transport 108 cars. A moving truck can fit 7 cars on each bed. How many trucks does tommy need to relocate all his car? (Do it in long division)

Answers

15
7|108
-7
-60
- 35
-95

Answer: 15 remainder 3.

Step-by-step explanation:

give answer fast...
it's very important for me....
then I give you 20 thanks...(◍•ᴗ•◍)❤​

Answers

Answer:

I have the answer

Step-by-step explanation:

Answer:

the required answer is 18

Step-by-step explanation:

see the solution in attached picture

i hope u got it

A salesman needed to sell a used car. He priced it at $4,500 the first day it was on the
market. The second day he reduced the price by 12%. What was the price of the used car after this reduction?

Answers

Answer:

$3960

Step-by-step explanation:

12% of $4,500 is 540.

Subtracting the 12% means taking away $540 from $4,500, which gives you $3960

I WILL MARK BRAINLIST! TIS IS SIMPLE PROBABILITY. A bag of game markers contain 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Mario reaches into the bag and pulls out a game marker without looking, what is the probability he will NOT pull out a blue game marker?
A. 1/2
B. 1/3
C. 4.15
D. 2/3

Answers

Answer: D. 2/3

Step-by-step explanation:

There are 15 markers in total. Out of these 15 markers, there are 5 blue ones.

If Mark reaches into a bag to pull out one marker and hopes it is not blue, there would be a 2/3 probability as 2/3 of the markers are not blue.

a factory could produce 84 toy robots in one day. They purchased some new equipment. Now they can produce 105 robots in one day. what is the percent gain?

Answers

Answer:

The answer to the question is

25 % increase in production rate

Step-by-step explanation:

To solve the question, we note that

Initial number of products = 84 toy robots per day

Present production rate = 105 robots per day

The percentage increase is given by the increase in production rate divided by the original production rate multiplied by 100  

Where increase in production rate = 105 - 84 = 21

Percentage increase = 21/84 ×100 = 25 % increase

Please graph y=2/3-4.
This is about slope.
I would really appreciate it if you would help.
Thanks!

Answers

I found this for your answer
Ok so you wanna start at the y intercept, which is -4 and make a dot there. The slope is 2/3 which is y over x. So from -4, go up 2 and over to the right 3. You could also go down 2 and to the left 3 because two negatives make a positive.
Sorry the graphs so bad lol

plz help me out with this

Answers

Answer:

B and a great deal on a spring break and a good time to get answer for the spread of Islam in the Horn of the following elements has your examination and your

4(46 + 3) + 2b = 3 (6 - 11)

Answers

Answer:

[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]

What’s the solution for x- 5 =5

Answers

Answer:

x=10

Step-by-step explanation:

10-5=5

Answer:

x= 10

Step-by-step explanation:

x-5 =5

x= 5+5

x= 10

zz

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

4 more students

Step-by-step explanation:

10% of 40 is 4, since the membership went up by 10% it is clear that there are 4 more students that joined the chess club.

Answer:

10/100*40

=4 more students joined the club

Step-by-step explanation:

Solving One Step Equations. SHOW YOUR WORK
-6 = b/16 solve to find b

Answers

Answer:

-96

Step-by-step explanation:

multiply both sides by 16

Other Questions
Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the nearest tenth is 16.3. ? 16.32 rounded to the nearest hundredth is 16.33. ? Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. true or false 16.32 rounded to the nearest tenth is 16.3. true or false 16.32 rounded to the nearest hundredth is 16.33. true or false plz explain Why do you think most women were not encouraged to become artist? Reflect shape A in the line y = x Suppose a lab procedure calls for 0.75 L of a 0.25 M CaCl2 solution. How much of a 10.0 M stock solution do we dilute?Where the diluted solution is #2 (the numerator) Billboard magazine creates weekly music charts using information obtainedfrom which of the following sources?A. SoundScanB. ArbitronC. SurveysD. Radio disc jockeys Choose the correct completion for each statement about culture and education inSpanish-speaking ountries.1. You can explore coral reefs in...A. HondurasB. Chile,2. In... you can visit pyramids and jungles.A. ChileB. Mxico3. You can visit the driest desert in the world in...A. MxicoB. Chile4. Joining a student exchange program can be a... experienceA. very fulfillingB. barely fulfilling5. In a student exchange program, you live...A. at a hotel.B. with a family6. If you host an exchange student in your home...A. only she benefitsB. you both benefit help this is 7th grade mth the measure of G is 82. What is the measure of its compliment? The made by Joo de Castro (1540) depicts a variety ofshing developed by Spain Advancements in technologyincluding the design of vessels for transoceanic travelresulted ingreatly expanded trade efforts in the Americas, Africa,and Asia due to greater shipping capacities anddefensive capabilities,decreased military tension between Europeanempires due to the mutual benefit of increased trade.the development of missionary tleets by the Vaticanto convert indigenous peoples of the Americas, Africa,and Asia to Christianiathe adoption of new shipping technologies by theIncan and Aztec empires as they sought to competeeconomically with Europe What process in humans is a good representation of asexual reproduction?A. MeiosisB. MitosisC.Fertilization what role did white northerner play in the boycott? Solve by using substitutionx=3y-1x+2y=9 1. How was Justinian and Theodora's Byzantine Empire different from Western Europe during the same time period? If there are 1.61 kilometers in a mile and also 5,280 feet in a mile, then how many feet are there in 3 kilometers? Dear Ty, help plz, My dad got the pictures that we took on the trip to Alaska. I promised you that I would send you some. I'm sending them with this letter. The one of you and me on the boat is especially good. I'm still thinking about all the fun things that we did. The train ride was the best. It was fun eating breakfast on the train. I'm glad we got to see the mother bear and her cubs. I hope you have a good year at school.Your friend, Which detail best belongs in the letter?A. We have decided to adopt a new pet.B. My mom said I could play baseball this year.C. The pictures turned out really well.D. Alan came over to my house for a sleepover. Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from R to S.R(-4, 5) and S(2, -1) Method 1 Use the Distance Formula. Substitute the values for the coordinates of R and s into the Distance Formula. Draw 9:10 on a clock What is the slope line through 1,-1 and 6,2 A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach? Use the system of equations to answer the question.x + y = 3 y = x - 5What is the solution to the system of equations?