Write 3 quadratic equations that are NOT
equivalent, each forming a graph with vertex (-2, 3)

Answers

Answer 1

Answer:

the vertex of a quadratic equation:

a*x^2 + b*x + c = y

Is located at:

x = -b/2a.

In this case, x = -2

Then:

-b/2a = -2.

And we also have that:

a*(-2)^2 + b*-2 + c  = 3

Then we have two equations:

-b/2a = -2

a*(-2)^2 + b*-2 + c  = 3

We have only 2 equations and 3 variables, so we can just give the variable c different values and we will find different quadratic equations that are not equivalent.

Let's begin with c = 0, our equations are:

-b/2a = -2

a*(-2)^2 + b*-2 + 0  = 3

In the first equation we can isolate b and get:

b = 4*a

Now we can replace this in the other equation and solve this for a.

a*4 + 4*a*-2 = 3

-4*a = 3

a = -3/4

then:

b = 4*a = 4*-3/4 = -3

The first quadratic equation is:

(-3/4)*x^2  - 3*x = y.

Now, to find the second let's use a different value of c.

c = 1

b = 4*a

a*(-2)^2 + b*-2 + 1  = 3

Let's solve in the same way as before:

a*4 + (4*a)*-2 + 1 = 3

-4*a = 2

a = 2/-4 = -1/2

b = 4*-1/2 = -2.

Then our equation is:

(-1/2)*x^2 - 2*x + 1 = y

For the last equation, let's use c = 2.

then our equations are:

b = 4*a

a*(-2)^2 + b*-2 + 2  = 3

Same as before, replace the first equation in the second.

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

-4*a + 2 = 3

-4*a = 1

a = -1/4

Then:

b = 4*(-1/4) = -1

Our third equation is:

(-1/4)*x^2 - 1*x + 2 = y

Now, below you can see all of them graphed.

Where red is the first one, blue the second and green the third one. (and as you can see, all of them share the vertex (-2,3) )

Write 3 Quadratic Equations That Are NOTequivalent, Each Forming A Graph With Vertex (-2, 3)

Related Questions

In the diagram below, m/AGF = 62° and m/DGB = 32°. Find m/CGE.
Step
1
2
try
Angle
m/AGF = 62°
m/DGB = 32°
m/
B
D.
O
Select a Reason
32°
G
62°
Reason
Given
Given
A

In the diagram below, m/AGF = 62 and m/DGB = 32. Find m/CGE.Step12tryAnglem/AGF = 62m/DGB = 32m/BD.OSelect

Answers

Step-by-step explanation:

per the laws of intersecting lines the angles on one side of any of the lines must be the same as the angles on the other side of that line - just left-right mirrored.

for that reason, CGE = DGF.

also to remember : the sum of all angles around a point on one side of a line is always 180° (because they represent a half-circle with that point being the center). in other words, these angles are supplementary (together 180°).

therefore,

180 = 62 + 32 + DGF

DGF = CGE = 180 - 62 - 32 = 86°

what are some issues you must consider when choosing the appropriate number of treatment conditions for your experiment? what does it mean to have conditions that are proportional to each other?

Answers

When selecting the appropriate number of treatment conditions, it is essential to consider factors such as resources, research complexity, and confounding variables.

Having conditions that are proportional to each other means that the level or intensity of each condition varies in direct proportion to the others, such that if one condition is increased or decreased, the others are also adjusted in a corresponding manner.

When choosing the appropriate number of treatment conditions for an experiment, there are several issues to consider. One of these is the ability to distinguish differences between treatment conditions.

A suitable number of treatment conditions for an experiment should be able to identify important differences between them. If there are too few treatment conditions, differences may not be identified, while if there are too many treatment conditions, resources may be wasted, making it difficult to obtain meaningful results.Another factor to consider is the need for replicability. The more treatment conditions that are used, the more difficult it is to replicate the experiment. A suitable number of treatment conditions should allow for replicability, meaning that the experiment can be repeated with similar results.To have proportional treatment conditions means that the levels of the independent variable (the treatment) are proportionate. This means that the differences between the levels of the independent variable are proportional to each other. This is important because it ensures that the treatment conditions are balanced and that the results obtained are valid. If the levels of the independent variable are not proportional, it can be difficult to interpret the results and draw conclusions.

Having conditions that are proportional to each other means that the differences between treatment conditions are consistent across all levels of the independent variable. In other words, if the independent variable increases by a certain amount, the difference between the treatment conditions remains constant. This can be important for ensuring that the treatment effects are interpretable and generalizable to other populations.

To know more about the "independent variable":https://brainly.com/question/82796

#SPJ11

Jaylen's soccer practice started at 8:50 A.M. on Saturday morning. The team practiced dribbling for 20 minutes and practiced shooting for 20 minutes. Then they played a scrimmage game for 50 minutes before practice ended. What time was it when Jaylen's soccer practice ended?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

Answer:

it is 10:00 a.m very simple

Answer:

The answer is 10:20 AM

Step-by-step explanation:

First off, add 20 to 8:50. Get 9:10. Add 20 more, get 9:30. Add 50, and get 10:20.

APML - ATAQ. Solve for x and QR

HELP ASAP!!!!! PLZZZZZ

APML - ATAQ. Solve for x and QRHELP ASAP!!!!! PLZZZZZ

Answers

Answer:

x = 7

Step-by-step explanation:

(7x-9)(2x+2) = 35/14

98x - 126 = 70x + 70

28x = 196

x = 7

Find the area of the shaded Sector
A. 8pi
B. 6pi
C. 16pi
D. 4pi

Find the area of the shaded SectorA. 8piB. 6piC. 16piD. 4pi

Answers

Answer:

4pi

Step-by-step expla

because its pi is the circumference so its times 4

Solve for x

will give brainliest and 5.0 star

Solve for xwill give brainliest and 5.0 star

Answers

Answer:

x = 10

Step-by-step explanation:

1. Because this is a right angle (an angle with 90°), 54 + 3x + 6 = 90.

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

\((3x)+(54+6)=90\) \(3x + 60 = 90\)

Step 2: Subtract 60 from both sides.

\(3x + 60 - 60 = 90 - 60\) \(3x = 30\)

Step 3: Divide both sides by 3.

\(\frac{3x}{3} =\frac{30}{3}\) \(x = 10\)

Step 4: Check if solution is correct.

\(54 + 3(10)+6=90\) \(54+30+6=90\) \(84+6=90\) \(90=90\)

Therefore, x = 10.

Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set.
Is that true or false? please explane

Answers

The statement "the interquartile range is least influenced by an outlying value in the data set" is true.

The range is simply the difference between the maximum and minimum values in a data set.

The variance is a measure of the spread of a data set, and is calculated by finding the average of the squared differences between each data point and the mean of the data set.

The interquartile range, on the other hand, is a measure of the spread of the middle 50% of the data set. It is calculated by finding the difference between the upper quartile and the lower quartile.

Because the interquartile range only takes into account the middle 50% of the data, it is less influenced by outliers than the range and variance. This is because outliers can greatly impact the range and variance, but have little effect on the interquartile range.

In conclusion, the interquartile range is a more robust measure of spread for a data set, as it is less influenced by outliers.

To know more about interquartile here.

https://brainly.com/question/29173399

#SPJ4

PLEASE HELP BEEN STUCK ON THIS

PLEASE HELP BEEN STUCK ON THIS

Answers

Answer:   infinitely many solutions

Step-by-step explanation:

The system is only 1 line.  So it must be that there are 2 equations that are actually the same so they intersect infinitely many times.

A new health drink has 140​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 40mg. How many milligrams of the vitamin are in the​ drink?

Answers

The drink contains 56mg of the vitamin while RDA is only 40mg.

What is milligram?

The SI unit of mass, the kilogramme, is 1000,000,000 times larger than the milligramme (mg), which is a unit of mass. Using a lowercase m and lowercase g, a milligramme is abbreviated as mg.

There are 1000 milligrammes in a gramme, hence the use of the prefix milli to denote the thousandth.

There are 10-6 kilogrammes in a milligramme. When describing drug doses, milligrammes are frequently used.

We have to count 140​% of the RDA to find the how much vitamins its contains.

Here, RDA = 40mg

140​% × 40

140/100 × 40

1.4  × 40

56mg

Thus, the drink contains 56mg of the vitamin while RDA is only 40mg.

Learn more about milligramme

https://brainly.com/question/29194405

#SPJ1

In a state's Pick 3 lottery game, you pay $1.23 to select a sequence of three digits (from 0 to 9), such as 199. If you select the same sequence of three digits that are drawn, you win and collect $320.68.
a. How many different selections are possible?
b. What is the probability of winning? (Type an integer or a decimal.)
c. If you win, what is your net profit? (Type an integer or a decimal.)
d. Find the expected value. (Round to the nearest hundredth as needed.)

Answers

a. There are 720 different selections possible in the Pick 3 lottery game.

b. The probability of winning is approximately 0.14%.

c. If you win, your net profit would be $319.45.

d. Therefore, the expected value is -$0.21, which means that on average, you can expect to lose $0.21 per ticket.

a. In a Pick 3 lottery game, there are 10 digits (0-9) and you are selecting a sequence of three digits. Therefore, the total number of different selections possible can be calculated using the formula for permutations, which is:

10P₃ = 10!/7! = 10 x 9 x 8 = 720

b. The probability of winning is the number of winning outcomes divided by the total number of possible outcomes. Since there is only one winning sequence of three digits, the probability of winning is:

1/720 = 0.0014

c. If you win, your net profit would be the prize amount ($320.68) minus the cost of the ticket ($1.23), which is:

$320.68 - $1.23 = $319.45

d. The expected value is the sum of the products of each outcome and its probability. In this case, the expected value can be calculated as:

(1/720) x ($320.68) + (719/720) x (-$1.23) = -$0.21

This negative expected value indicates that the lottery is not a good investment as the cost of playing exceeds the expected payout.

To learn more about probability click on,

https://brainly.com/question/14562035

#SPJ4

Write this number in standard form: eight thousand seventy-two and eighty-four thousandths.

Answers

Answer:

8,072.084

Step-by-step explanation:

what is the GCF sum of 6+18

Answers

Answer:

  GCF = 6; sum = 6(1 +3)

Step-by-step explanation:

You want the greatest common factor of 6 and 18.

GCF

The greatest common factor is the largest factor common to both numbers. Here, we can factor the numbers as ...

  6 = 6·1

  18 = 6·3

The factor 6 is common to both numbers. (Other numbers, such as 1, 2, and 3 are also common factors, but 6 is the largest.)

The GCF is 6.

In terms of the GCF, the sum can be written ...

  6 +18 = 6(1 +3)

__

Additional comment

If the smaller number is not a factor of the larger, then the next value to check is the difference between the larger and smaller.

Euclid's algorithm tells you the remainder from division of the larger by the smaller will be zero when the divisor is the GCF. Otherwise, the remainder can be used to replace the larger number for trying again.

Here, 18/6 = 3 r 0, so 6 is the GCF.

Solve:3m-2(m-3)=1 please help

Answers

Answer:

\(3m - 2(m - 3) = 1 \\ 3m - 2m - 6 = 1 \\ m - 6 = 1 \\ m = 1 + 6 \\ m = 7\)

PLEASE MARK ME BRAINLIEST

Answer:

m = -5

Step-by-step explanation:

3m-2(m-3)=1

Distribute

3m -2m +6 = 1

Combine like terms

m+6 =1

Subtract 6 from each side

m+6-6 =1-6

m = -5

University Data
Receiving
Not Receiving
Total
Financial Aid
Financial Aid
Undergraduates
4222
3898
8120
Graduates
1879
731
2610
Total
6101
4629
10730
If a student is selected at random, what is the
probability that the student is a graduate
(rounded to the nearest percent)? [ ? ]%

University DataReceivingNot ReceivingTotalFinancial AidFinancial AidUndergraduates422238988120Graduates18797312610Total6101462910730If

Answers

Answer:

\( \) \( \) \( \) \( \)

find the expression for g(x)

find the expression for g(x)

Answers

Hello,

\(f(x) = 4 {x}^{2} - 9\)

\(g(x) = 4 {x}^{2} - 9 + 8 = 4 {x}^{2} - 1\)

Sarah is 13 years older than Mike. The sum of their ages is 37. How old is Sarah and how old is Mike? Enter your answer as on ordered pair (x,y).​

Answers

Answer:

(24,13)

Step-by-step explanation:

24 is Sarah's age.

13 is Mike's age.

System:

\(\left \{24+13=37\)

I hope this helped!

4. In the Janet's neighborhood, 65% of
households have a landline phone. If there are 80
households in the neighborhood, then how many
have a landline phone?

Answers

Answer:

52

Step-by-step explanation:

i just looked up 65% of 80

Which expression is represented on this number line?

Answers

Answer:

where's the number line??

11 POINTS
What are the coordinates of T’, the image of point T(2, 4) translated 2 units to the right and 3 units down? T(2, 4) ⇒ T' ( , )

Answers

Answer:

(4,1)

Step-by-step explanation:

Answer:

The answer is (4,1)

Step-by-step explanation:

I can confirm cause I took the test :)

f(x) = x - 2
Find f(3)

f(x) = x - 2Find f(3)

Answers



f(3)=4/5(3)-2
3f=12/5-2
3f=2/5

Answer
f=2/15

train leaves in 12 minutes and you are 1 mile from the station. you can walk 4 mph and run at 8 mph. how much time can you afford to walk before you must being to run in order to catch the train

Answers

Answer:

i think its 8

Step-by-step explanation:

answer this for me also right answer gets a heart

answer this for me also right answer gets a heart

Answers

answer:

3x^3=4x

step-by-step explanation:

hope that helps!

Find 6x + y when x = 6 and y = 4

Answers

we have the following:

\(6x+y\)

replacing, y =4 and x = 6

\(6\cdot6+4=36+4=40\)

the answer is 40

Which expression results from using the Distributive Property of Multiplication over Addition to simplify
4.7(-8.9+2.6)?
a. 4.7(11.5)
b. 4.7(-8.9) + 2.6
c. 4.7(-8.9)+4.7(2.6)
d. 4.7(-6.3)

Answers

The answer to this problem is C

If (u, v) = 3 and (v, w)2, what is the value of (v,w, + 3u)? Select one: a.02 b.There is no way to tell. c.11 d.7 e.9

Answers

Given that (u, v) = 3 and (v, w) = 2.To find the value of (v, w, + 3u), let's substitute the given values.

(v, w, + 3u) = (2, ?, + 3(3))(v, w, + 3u) = (2, ?, 9)(u, v) = 3, and (v, w) = 2∴ The value of (v, w, + 3u) = (2, ?, 9)Option E, 9 is the correct answer.Considering that (u, v) = 3 and (v, w) = 2.Substituting the provided numbers will allow us to determine the value of (v, w, + 3u).(v, w, + 3u) = (2, ?, + 3(3))(v, w, + 3u) = (2, ?, 9)(V, W) = 2, and (U, V) = 3. (V, W, + 3U) has the value (2,?, 9)The right response is option E, number 9.

To know more about substitution  , visit ;

https://brainly.com/question/22340165

#SPJ11

The value of expression  (v, w, + 3u) is 11, so correct option is C.

Given that (u, v) = 3 and (v, w) = 2.

To find: The value of (v, w, + 3u)

This formula shows how multiplication distributes over addition. It means that when you multiply a number by the sum of two other numbers, it is the same as multiplying the number individually by each of the two numbers and then adding the products together.

We have to apply the formula of distributivity of multiplication over addition:

(a + b) c = ac + bc

We know that 3u = u + u + u,

so substituting in (v, w, + 3u),

we get(v, w, + 3u) = (v, w) + (u + u + u)

Now, substituting the given values of (u, v) = 3 and (v, w) = 2

in the above equation(v, w, + 3u) = (2) + (3 + 3 + 3) = 2 + 9 = 11

Therefore, the value of (v, w, + 3u) is 11.

Hence, the correct option is (c) 11.

NOTE: We should always remember the formula of distributivity of multiplication over addition: (a + b) c = ac + bc.

To know more about products visit:

https://brainly.com/question/32724534

#SPJ11

Eating Together. In December of 2001, 38% of adults with children under the age of 18 reported

that their family ate dinner together seven nights a week. In a recent poll, 403 of 1122 adults

with children under the age of 18 reported that their family ate dinner together seven nights a

week. Has the proportion of families with children under the age of 18 who age dinner together

seven nights a week decreased? To answer this question, conduct a hypothesis test using the

a = 0. 05 level of significance. Round values for the sample proportion and p-value to three

decimal places

Answers

Fewer families with kids under 18 now have dinner together seven nights a week

Given,

Let p represent the percentage of households with kids under 18 that have supper together every night.

So, Null Hypothesis, : p 38%    (meaning that more or the same number of families with children under the age of 18 now have dinner together seven nights a week.)

Alternate Hypothesis, : p < 38%     {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased}

The test statistics that will be used here is One-sample z-test for proportions;

T.S.  =    ~  N(0,1)

                       

Where,

p  = sample proportion of families = 403/1122 = 0.36

n = sample of adults with children under the age of 18 = 1122

So,

The test statistics =     -1.32

The value of z-statistics is -1.32.

Also, the P-value of the test statistics is given by;

 P-value = P(Z < -1.32) = 1 - P(Z  1.32)

= 1 - 0.9066 = 0.0934

We have enough data to reject our null hypothesis since the test statistics will fall in the rejection region because the P-value for our test statistics is less than the level of significance, which in this case is 0.0934 <  0.10.

As a result, we draw the conclusion that fewer families with children under the age of 18 now have supper together seven nights a week.

Learn more about dinner with children here;

https://brainly.com/question/17153808

#SPJ4

Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?

Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.​

Answers

Answer:

Paula jogs more by 0.1113636 miles or 600 feet.

Step-by-step explanation:

formula for feet to miles; 5280 / f.

2700 / 5280 = 0.5113636363636

0.113636363636 x 5280 = 600 feet.

Factor the expression

Factor the expression

Answers

Answer:

(2x+1)(x−2)(2x−5)

Step-by-step explanation:

(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)

4x3−16x2+11x+10

=(2x+1)(x−2)(2x−5)

Solve for X please help

Solve for X please help

Answers

Answer:

x=−5.675726

Step-by-step explanation:

madison estimated that there were 918 jelly beans in a jar. the actual number of jelly beans was 850. what was the percent error of masdion estimate

Answers

The percent error of masdion estimate is 8%.

As we know that some degree of error is often associated with measurements. Percent error is used to determine how close the value is to the accepted answer.

We know,

\(\frac{Error}{actual value} = \frac{Percent}{100}\)                                               equation 1

Total number of jelly beans in a jar estimated by madison = 918

The actual number of jelly beans = 850

Error = Estimated jelly beans - Actual number of jelly beans

Error = 918 - 850

Error = 68

Substitute value of error and actual value in equation 1 , we will get

( 68 / 850 ) = ( percent error / 100 )

0.08 × 100 = percent error

percent error = 8 %

Thus, 8% was the percent error of masdion estimate.

To know more about Percent error refer to the link:

https://brainly.com/question/1600371

#SPJ4

Other Questions
By choosing to conduct a study in a research laboratory instead of its natural setting, researchers gain:_________ Can someone solve this demonstrate the equivalence of the following, all of which are definitions of t v x: When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem? 3 In the Gido text, you frequently run across the idea that a project manager will "progressively elaborate" details about requirements, activities, network diagrams, etc. This is a very important concept in project management.Using your favorite search engine, search on progressive elaboration in project management. Scan at least two of the articles you find. Be sure to cite them in your initial and/or response postings.In your initial post, address the following:Define progressive elaboration in the context of project management.Choose a project management deliverable from this chapter (e.g., project requirements, activities list, network diagram, etc.), and describe a brief scenario and in which you and your project team would provide an initial deliverable then how progressive elaboration might cause you to modify that deliverable over time.State your opinion as to whether progressive elaboration would help to deliver successful project outcomes and, if so, why.In your response posts, challenge or enhance your peers original thoughts on the value of progressive elaboration (b) Expand and simplify (x - 3) (2x + 3)(4x + 5) dimensions of a house are 300 feet by 125 feet . if 1 inch represent 50 feet what are the dimensions of the house on the drawing China produces more - than any other nation if this is the graph of f(x) then which of the following could be the graph of f^-1(x)? Based on the information you have gathered during this lesson, including the mini-lesson, the video, andthe image analysis, do you think the Sons of Liberty were thugs or patriots? Justify your claim utilizingtwo (2) pieces of evidence from this lesson Respond to the following questions based on what you read in the La Lecture about Claire. Answer in completesentences using the French you have learned in this course.Before beginning this assignment, review the presentation on answering questions in French.Rponds aux questions avec des phrases compltes.1. O habite la jeune fille?2. Pourquoi est-ce que son grand-pre ne lui rend pas souvent visite?3. Qui aime voyager?4. Pourquoi est-ce que Claire veut aller en France?5. Qu'est-ce que Claire veut faire quand elle finit l'cole?6. Que veux-tu faire quand tu finis l'cole? a capella refers to music that is sung together with the instrumental accompaniment of a small chamber orchestra. 30/9 as an improper fraction What is the brand name for hydralazine? What is the standard unit of volume? What can be used to measure volume? Read the sentence. Jerry is always cracking Jokes is it any wonder he was voted class clown? How should the sentence be corrected? Capitalize is. Insert a dash between Jokes and is. Change the question mark to an exclamation point. Insert a comma after wondely according to the fasb statement of concepts, expenses may be recognized when they are Marcus is drawing a model of a bicycle chain and its gears as shown. Where can Marcus draw the points for the chain to create tangent lines that intersect both circles? Select all that apply. Answer these for brainliest A sample containing 1.00 kmol of helium (treated as an ideal gas)is put through the cycle of operations shown in the figure. BC isan isotherm, and pA = 1.00 atm, VA = 22.4 m3, pB = 2.00 atm. Calculate the temperatures TA, TB and volume VC.Calculate the work done during the cycle. Recall the expression for work done during anisothermal process. with diagram from 2017 exam phy 131