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

Shasta is going to her best friend's house for dinner. Her mother says she needs to be back in 2 and a half hours. If she leaves at 5:00 pm, what time will she be back?

Answers

Answer:

she will be back at 7:30pm

Step-by-step explanation:

From the question we are given

Time that Shasta leaves for her best friend place = 5:00pm

If she is to come back after 2 and a half hour, hence we will have to add 2hr 3ominutes to the time she left to know the time she will be back as shown:

She will be back at 5:00 + 2hr 30min = 7:30pm

Hence she will be back at 7:30pm

33) What value for x makes this equation true? 4x + 3 = 23

Answers

Answer:

x = 5

Step-by-step explanation:

4x + 3 = 23

Subtract 3 from both sides;

4x = 20

Divide both sides by 4;

x = 5

Answer:

x=5

Step-by-step explanation:

4x+3=23

4x=23-3

4x=20

x=20/4

x=5

Which of the following statements is true of the diagram? ​

Answers

Answer:

option 2

Step-by-step explanation:

QR = 15 ( triangle is a 8- 15- 17 Pythagorean triple )

cosP = [tex]\frac{PR}{PQ}[/tex] = [tex]\frac{8}{17}[/tex] ≠ [tex]\frac{8}{15}[/tex]

tanQ = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{8}{15}[/tex] ≠ [tex]\frac{15}{8}[/tex]

sinP = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{15}{17}[/tex] ≠ [tex]\frac{8}{17}[/tex]

cosQ = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{15}{17}[/tex] ← correct statement

Answer:

its the cos q = 15/17

Step-by-step explanation:

cos q = 15 (adjacent) / 17 (hypothenuse)

6) A design for a library has a scale of
1/3inch = 1 foot. The height of the library
in the drawing is 12 inches. What is the
actual height of the library?

Answers

Answer:

36 feet

Step-by-step explanation:

There are three feet to each foot, 3 times 12 is 36.

HELP PLS
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.

Date
Closing amount (in points)
01/27 13,895.98
01/28 13,881.93
01/29 13,954.4
01/30 13,860.42

Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points

Answers

Answer:

a loss of 72.47

Step-by-step explanation:

I got this answer right on my test

In the ordered pair below, which number represents "x", the input? (3, 5) A B 3 5​

Answers

Answer:

i believe 3 would be your answer (x,y)

Step-by-step explanation:

What transformation for Rectangle A would result in Rectangle B?
A
reflection across the X-axis
B
reflection across the y-axis
c
translation, 4 units up
D
translation, 2 units down

Answers

Answer:

I think A I'm not sure tho

In the transformation of rectangle A, a reflection is across the X-axis. The correct option is A.

What is a reflection?

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection. The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.

Given image is having a rectangle A which is having reflection across the X-axis. The meaning of the reflection is that the figure will have an image of itself across the x-axis.

Therefore, in the transformation of rectangle A, a reflection is across the X-axis. The correct option is A.

To know more about reflection follow

https://brainly.com/question/26642069

#SPJ5

Find the length of the segment with endpoints of (3,2) and (-3,-6).
(Will Mark Brainlyest!)

Answers

Answer:

i think its (x2,y2)=(19,3)

Step-by-step explanation:

sorry if its wrong

Order the sides of each triangle from shortest to longest.

Answers

Answer:

A.

Step-by-step explanation:

the line that's PR is longer than OR

Please help me, I’m brain dead right now:)

Answers

Answer:

A 40%

Step-by-step explanation:

2/5 = 40/100 (or 40%)

So 40 blocks should be filled in :)

Hope this helps!

Answer: the answer is a

Step-by-step explanation:  because the equivalent fraction is 4/10 and the  graph is of 10 by 10 so from it shahid 10 from breath and 4 from length

PLEASE MAKE Me THE BRAINLYEST

Please help with this!!

Answers

It is b I did that too!!

Answer:

(4x-6)(4x-6)

Step-by-step explanation:

expand 4x×4x-6×6

(2x - 9) (x + 4) = 0
What the answer

Answers

Answer:

x = 4.5 AND x = -4

Step-by-step explanation:

for the first answer

add 9 to 0 and divide by 2

for the second answer

subtract 4

Answer:

x = 9/2 and x = -4

Step-by-step explanation:

you can set each expression in the parenthesis' equal to zero. this is due to it being multiplication so if one parenthesis equals 0, the answer will be 0

2x - 9 = 0 and x + 4 = 0

starting with 2x-9=0

add 9 to both sides

2x = 9

divide by 2

x = 9/2

then do x + 4 = 0

subtract 4

x = -4

so your two answers are

x = 9/2 and x = -4

Every morning runs for 30 minutes. If runs 6 miles per​ hour, how far does ​travel? Use the equation d​rt, where d is​ the distance, r is​ the rate, and t is time.

Answers

Answer:

3 Miles

Step-by-step explanation:

D = R*T

0.5*6 = 3

so 3

Kristina walked 1 2/3
miles on Sunday and 2 3/4 miles on Monday. What was the total distance, in
miles, that she walked over those two days

Answers

4 5/12 you just add the fractions

Answer: 4 5/12 miles

Step-by-step explanation: To add or subtract two fraction, you need to find a common denominator. The easiest way to do that is to just multiply the denominators of the two fractions together. 3 x 4 = 12 so I'll use 12 as my common denominator. Now that we have that, we have to convert the numerators. We must multiply the numerators by the same number we multiplied or denominators by to get the common denominator. 3 x 4 = 12, 4 x 3 = 12, 2 x 4 = 8, 3 x 4 = 12. Now the fractions we have are 9/12 and 8/12. Since they have the same denominator now we can add them. 9/12 plus 8/12 equals 17/12 or 1 and 5/12 written as a mixed number. We also add the whole numbers. 1 plus two equals 3. 3 plus 1 and 5/12 equals 4 and 5/12.

What is the mean absolute deviation of the set of numbers {3, 7, 5, 6, 4}?

Answers

Answer:

5

Step-by-step explanation:

mean = sum of all values÷number of observation

= 3+7+5+6+4 ÷ 5

= 5

answers for the 2 boxes please ​

Answers

Answer:

(2, 12)

Step-by-step explanation:

x + 10 = 4x + 4

   - 4           - 4

x + 6 =  4x

- x         - x

6 = 3x

divide 3 on each side

2 = x

then plug 2 in either equation

ei) y = 2 + 10

    y = 12

у + 3x = -4 2х - Зу = -21
Help plz​

Answers

Answer:

у + 3x = -4 2х - Зу = -21

Step-by-step explanation:

What is 9,000.000.000.000.000.000.X 12.000.000.000.000.000.000.000.000.000.000

Answers

Answer:

108000.

Step-by-step explanation:

9,000 x 12

Isabella deposited $2,000 in an account that earns 5% simple annual interest. After one year, how much interest will her investment earns?

Answers

Answer:

2100

Step-by-step explanation:

5% of 2000 = 2000 x 1/20 = 100.

2000+100=2100

Also, if it said how much interest will her investment PAY, then it would be $100 because of the 5% simple interest.

Ans = $2,100
2000 x 1.05= 2100
1.00 = 100%
1.05 = 100% +5%

Find the volume of a pyramid with a square base, where the side length of the base is
4.9 m and the height of the pyramid is 5.3 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer:

127.253 m^3

Step-by-step explanation:

To find the volume, we start by getting the area of the square base

Mathematically, that will be 4.9^2 m^2

To complete the volume, we multiply the area of the base by the height

= 4.9^2 * 5.3 = 127.253 m^3

Answer:

Step-by-step explanation:

42.4

Use the slope -intercept form to graph the equation y=5/7x-1

Answers

Answer:

I’m gonna explain this best I can

Step-by-step explanation:

okay, since I dont have graphing paper or your graph, I am going to put the points that your dots would go in, and you can put them and connect the line :)

first point: (0, -1)

second point: (7, 4)

third point: (14, 9)

then connect the line

Please help WHAT IS THE PERCENT OF 39.8 out of 200 QUICK PLEASE

Answers

Answer:

19.9%

Step-by-step explanation:

39.8/200 = 0.199 (move decimal two times)

19.9%

or you can just see what number get 200 to 100, which is by dividing by 2. What you do to the bottom you do to the top so 39.8/200 (divide both sides by 2)  = 19.9/100

which is 19.9%.

Ace Carlos

How many years will it take for $20,000 to earn $7,000 in interest if placed in an account that earns 2.09% simple interest?

Answers

Answer:

16.7 years

Step-by-step explanation:

Will mark Brainliest for the correct answer. Also, it wouldn’t hurt to explain your thought process when going through these problems but is not required to get Brainliest.

Answers

Answer:

Step-by-step explanation:

2a)  p * [tex](3p^{3} )^{2}[/tex]

[tex]p^{1}[/tex] * [tex]9p^{2*3}[/tex]

[tex]p^{1}[/tex] * [tex]9p^{6}[/tex]

[tex]9p^{6+1}[/tex]

[tex]9p^{7}[/tex]

2b)  ( [tex](-3x)^{2}[/tex] * [tex]x^{3}[/tex] *[tex]y^{5}[/tex] ) /  [tex]y^{6}[/tex]

[tex]9x^{2}[/tex] *[tex]x^{3}[/tex] / [tex]y^{1}[/tex]

[tex]9x^{2+3}[/tex] / y

[tex]9x^{5}[/tex] /y

manteo made the model below to represent the number of miles he swims in the pool each week for exercise

Answers

Answer:

What model?

Step-by-step explanation:

If you want to show an increase to the original quantity, how could you change the bar diagram?

Answers

Answer:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

Step-by-step explanation:

can someone anyone please help me asap

Answers

the image isn’t loading for me , not sure if it’s only me . but maybe try reuploading?

<33

Answer:

the answer is option : D

Step-by-step explanation:

multiply 9 with the given hrs to find the correct one

Suppose the expression was (12 - 3)². Would you still simplify 3² first? Explain.

Answers

Answer:

No because the 2 is outside of the parentheses meaning it should be 9^2

Step-by-step explanation:

Answer:

No, I will not simplify 3² first.

Rather I would simplify (12-3) first, i.e., 9.

Then simplify 9² which gives the answer 81.

Step-by-step explanation:

(12-3)²= 9²= 81

What is the y intercept of this line?

Answers

Answer:

-2 i think

Step-by-step explanation:

Answer:

(0,4) or 4

Solution:The y-intercept is the point where the graph intersects the y-axis.It's usually written as (0, b) where "b" stands for the y-intercept.Since the line intersects the y-axis at (0, 4) the y-intercept is (0,4) or 4.

Hope it helps.

Do comment if you have any query.

Given D'E'F'G' is a dilation of DEFG, find the scale factor of dilation.

Answers

Answer:

7.5

Step-by-step explanation:

157.5/21 = 7.5

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