Write a quadratic equation given the x intercepts and other other point. Put steps together. Find the factors. Solve for a by substituting in the extra point. Write the equation in factored form.

Answers

Answer 1

Answer:

This question is clearly incomplete, so i will answer it in a really general way.

Suppose that for a quadratic function, we know that the x-intercepts are a and b.

And we also know that this function passes through the point (c, d).

First a definition, for a n-degree polynomial with the x-intercepts {x₁, x₂, ...,xₙ}  and a leading coefficient K, we can write this polynomial in the factorized form as:

p(x) = K*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now let's do the same for our quadratic function, we can write it as:

f(x) = K*(x - a)*(x - b)

(where a and b are known numbers)

Now we also know that this function passes through the point (c, d)

This means that:

f(c) = d

then:

d = K*(c - a)*(c - b)

With this equation we can find the value of K,

K = d/( (c-a)*(c - b))

Then the quadratic function is:

[tex]f(x) = d\frac{(x-a)}{(c-a)} \frac{(x-b)}{(c-b)}[/tex]

Where again, it is supposed that you know the values of a and b, and also the point (c, d)


Related Questions

Eduardo bought 2-liter sports drink for soccer practice.During practice,Eduardo drank 250 millimeters of the sports drink.Then he drank another 1/2 liter of the drink after practice.How many milliters of the sports drink did Eduardo have left

Answers

Answer:

1,250 millileters

Step-by-step explanation:

The computation of the number of milliters of the sports drink left is shown below:

Given that

The 2-liter sports drink is purchased

And, drank 250 millimeters and than drank one-half liter of the drink

Now convert liter to millileter

1 litre = 1000 milliliter.

2 liters = 2 × 1000 milliliters.

= 2000 milliliters.

Now the left drink would be

= (2000 - 250) - (250 × 2)

= 1,750 - 500

= 1,250 millileters

which is the best estimate for 7/8 4/9

pls helpp anyways tiktok- kamii_;/

Answers

Answer:

7/8 if u want more if u want less then it 4/9

Step-by-step explanation:

8/9 + 2/3 + 1/6 = PLeASe HeLp

A. 11/8

B. 11/15

C. 1 13/18

D. 1 2/9

Answers

Answer:

C. 1 13/18

Explanation:

Write the sentence as an equation
the product of 48 and g, reduced by 26 is equal to 345 subtracted from the quantity g times 150

Answers

Is there any answer choices so I can choose?

Joe has been riding his bicycle at a speed of 12 mph and has gone 48 miles. How long has he been riding?

Answers

Answer:

Joe's been riding 4 hours because if you divide 48 by 12 it gives you 4 and it's by hours so it would be 4 hours. point blank period.

Step-by-step explanation:

can someone please help me with this question?

Answers

Answer:

your answer will be 70 have a nice day:)

Step-by-step explanation:

43+27=70

Answer: 18

Step-by-step explanation:

           To answer this question you have to add all the number and however many over 100 there is that how many like both of the teams so 27 + 48 + 43 = 118

then you take 100 away from 118 and you get 18

help with questions 10-13 plz!!

Answers

Answer:

._. ;

._. ;

._. ;

13. What is the quadratic function that has a graph that contains the points
{(-1,8), (0,5),(1,0))?
A g(x) = -x2 - 4x + 5
B g(x) = -x2 +5
C g(x) = -x2 + 7x + 5
D g(x) = -x2 + 4x + 5

Answers

Answer: D, i am a hight school teacher names miss smell my butt, and i know that i am right

ONLY ANSWER IF U KNOW!
Find the limit of the function algebraically.

Answers

Answer:

lim [(x(2) + 3) × 1/ x(4) ] = 3 × ( + ○○) = + ○○

what is is 7 *10+ 7 i need to now please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

77

Step-by-step explanation:

7x10 is 70 plus 7 is 77

2/6, 5/12, 3/7, and 4/10. List least to most

Answers

Turn them into percentages:
2/6=1/3=33.333%
5/12=42%
3/7=43%
4/10=2/5=40%

Now put them in order :)

2/6,4/10,5/12,3/7

Ok So could you please tell me where I went wrong?​

Answers

Answer:

lateral surface area =perimeter of base×height=

={4+7+7+11)×6=174 km²

Step-by-step explanation:

Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?

Answers

Kiran can explain factoring to lin by finding what multiples together to get an expression. It is in a way, like splitting an expression into multiplication easier expressions.

Answer:

doing this so other guy gets brainliest

Step-by-step explanation:

Someone pls help me I’ll give out brainliest please dont answer if you don’t know.

Answers

Answer:

-12n - 6

Step-by-step explanation:

6(-2n - 1 )                           -12n - 6 You need to multiply the 6 by the numbers inside the Parenthesis.

Mario is buying a number of hamburgers from the local store that cost $2.90 each. He is also buying one packet of hamburger rolls at a cost of $4.75. He has $39.55 to spend at the store. Write and solve an inequality that shows how many hamburgers, h, Mario can afford to buy.
Write the inequality.

solve the inequality

Answers

Answer:

I think hamburgers=12

Step-by-step explanation:

I NEED HELP PLSSSSS I WILL MARK BRAINLEIST <3

Answers

the answer is C...... ....

C. .....

The ages of student volunteers at an event are: 13, 11, 12, 15, 16, 11, 12, 14, 15,
and 11. Find the median *

Answers

Answer:

12.5

Step-by-step explanation:

Median = middle number
Put the values in order from least to greatest

11, 11, 11, 12, 12, 13, 14, 15, 15, 16
Which number is in middle?
12 and 13 so find what’s in between

Solution: 12.5

Este año en la escuela de inglés, el numero de usuarios de intagram ha alcanzado la cifra de 2604 alumnos, lo que supone un aumento del 24% respecto del año pasado. ¿ cuantos usuarios habia el año pasado?

Answers

Answer:

the number of users in the last year is 2,100

Step-by-step explanation:

The computation of the number of users in the last year is shown below:

Given that

The users are 2604 that are increased to 24% as compared with the last year

So, the users in the last year is

= 2604 ×100 ÷ 124

= 2,100

Hence, the number of users in the last year is 2,100

Answer:

688

Step-by-step explanation:

ithink

hi guys! i need help with this question 5.2 x 3/2

Answers

Answer:

7. 8 I think (typing more for the limit)

Answer:

7.8

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

y= 3

x= -2

Step-by-step explanation:

..,............

Working together, Daniel and Donnie can clean the llama pen in 45 minutes. On his own, Daniel can clean the pen in an hour. How long does it take Donnie to clean the llama pen on his own?

Answers

Answer:

It takes him 15 minutes.

Step-by-step explanation:

Donnie clean the llama pen in 180 minutes on his own.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Daniel and Donnie can clean the llama pen in 45 minutes.

And, On his own, Daniel can clean the pen in an hour.

Now,

Let time to clean the llama pen in on his own = x minutes.

Since, Daniel and Donnie can clean the llama pen in 45 minutes.

So, In 1 minute, Daniel and Donnie clean the pen = 1/45

And, In 1 minute Daniel to work = 1/60

Thus, We can formulate;

1/x + 1/60 = 1/45

Solve for x as;

(60 + x) / 60x = 1/45

60 + x = 60x / 45

60 + x = 4x/3

180 + 3x = 4x

180 = 4x - 3x

180 = x

Thus, Donnie clean the llama pen in 180 minutes on his own.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

PLS HELP MEEEEEEEE I WILL GIVE BRAINLIEST :D

Answers

Answer:

A is true and f is true

Step-by-step explanation:

Answer:

a, d, e, and g

Step-by-step explanation:

if you multiply two negatives, you get a positive

6(y - 2) = -18

What is y?

Answers

Answer:

-1

Step-by-step explanation:

6 (y - 2) = -18

6y - 12 = -18

6y = -18 + 12

6y = -6

y = -1

What is the product of (3y^-4)(2y^-4)?

Answers

Answer:

6/ y^8

Step-by-step explanation:

The answer is 6/y^8

IM GIVING BRAINLIEST!!PLEASE HELP!!

Answers

Answer:

D

Step-by-step explanation:

(x - 3)(x + 4) = x^2 + x - 12

Which is a better deal: 30 fluid ounces of shampoo for $3.55 or 50 fluid ounces of shampoo for $6?

Answers

30 fl oz for $3.55

if we make them each 10 fl oz then here are the costs:

$1.18 (originally 30 fl oz)

$1.20 (originally 50 fl oz)

I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?

Answers

Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

HELP ME TEST QUESTION!! A bar graph is shown below. What percent of owners chose dog as their favorite pet?

Answers

26 look at the graugh

Find the area of the triangle below.

Answers

Answer:

20.25

Step-by-step explanation:

Just multiply the base and height then divide the results in half.

Hope this helps!

who are these bots giving us links i’m literally gonna fail now

Answers

Answer:

Fr. It’s annoying. My mom yells at me for not passing lolz.

Step-by-step explanation:

Answer:

Ignore them and re-upload the questions. The links are very bad.

Step-by-step explanation:

Other Questions
math questionhow many months are September away from December Simple stain consists of A. complex of dyesB. one dyeC. twoD. all are correct What was the US Supreme Court's decision in the Dred Scott case?Question 10 options:He could not be freed because he was propertyHis case could not be heard because he was not a citizen of the United States.His present owner had to return him to his previous ownerHe should be freed immediately Please Help!!!!You are part of a sales group that has been asked to give a presentation. Before you begin, what should you and your group do?A. Figure out who is the best public speakerB. Buy the best software on the market.C. Look into file sharing options so that everyone can work on the same file at the same time. D. Ask if you have to give a slide presentation, . Which of these actions precedes a precipitation eventA: clouds form B: the air gets colderC: the wind picks up speedD: Raindrops are supercooled explains how the east India company made England into an imperial power Section : Language FocusQ1. Change the following nouns into verbs and use them inmeaningful sentences of your ownCancellationAdmissionExaminationCollisionDecision Q Search7The solid shape is made of a cone on top of a hemisphere.The height of the cone is 10 cm.The base of the cone has a diameter of 6 cm.The hemisphere has a diameter of 6 cm. * LT(1 Point)The total volume of the shape is ku cm3. Work out the value of k. A filing cabinet is 2 yards long by 2 feet wide by 48 inches high. What is the volume of the filing cabinet in cubic inches? Enter your answer in the box. PLEASE I NEED 100 pointscan people brainstorm about how bullying affects students are affected no only physically and emotionally but academically tooI need 7 What were war bonds? How did they help the war effort Explain- Descendants Corporation is a growth firm that recently had its IPO. It is not currently paying dividends and its first dividend is expected in year 5. After this, it is expected to offer dividends with growth rates of 15% for two years. After this time, it is expected to reach stable growth with a dividend growth rate of 4% forever. If the dividend discount model is used to value the stock, in what year does the horizon value from stable growth belong Which behavior is a response to an external stimulus? EXPLAIN WHYA. An elephant drinks water to quench its thirst.B. A dog vomits during an illness to rid itself of pathogens.C. A child gets a fever to fight off the flu.D. A turtle suns itself on a rock during a cool day. A certain species has little genetic variation the rapid extinction of this species would most likely result from the effects of which english king established a new justice system that included courts and juries ayo help me please!! Rose is performing at a poetry slam tomorrow. Which of the following techniques should she avoid so that she can deliver a good performance? A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P = Aekt Enter the correct answer. In an experiment, a disk is set into motion such that it rotates with a constant angular speed. As the disk spins, a small sphere of clay is dropped onto the disk, and the sphere sticks to the disk. All frictional forces are negligible. What would happened to the angular momentum and the total kinetic energy of the disk-sphere system immediately before and after the collision? Made a wrong turnOnce or twiceDug my way outBlood and fireBad decisionsThat's alrightWelcome to my silly lifeMistreatedMisplacedMisunderstoodMiss no way it's all goodIt didn't slow me down.MistakenAlways second guessingUnderestimatedLook I'm still aroundPretty, pretty pleaseDon't you ever, ever feelLike you're less thanLess than perfectPretty, pretty pleaseIf you ever, ever feelLike you're nothingYou are perfectTo meYou're so meanWhen you talkAbout yourself, you were wrongChange the voices in your headMake them like you insteadSo complicatedLook how we all make itFilled with so much hatredSuch a tired gameIt's enoughI've done all I can think ofChased down all my demonsI'll see you do the samePretty, pretty pleaseDon't you ever, ever feelLike you're less thanLess than perfectPretty, pretty pleaseIf you ever, ever feelLike you're nothingYou are perfectTo meWhole world scared so I swallowed the fearThe only thing I should be drinking is an ice-cold beerSo cool in lying and we try, try, try but we try too hardAnd it's a waste of my time.Done looking for the critics, 'cause they're everywhereThey don't like my jeans, they don't get my hairExchange ourselves and we do it all the timeWhy do we do that, why do I do that, why do I do that?Yeah, ohOh pretty pretty pleasePretty, pretty pleaseDon't you ever, ever feelLike you're less thanLess than perfectPretty, pretty pleaseIf you ever, ever feelLike you're nothingYou are perfectTo meYou're perfectYou're perfect(To me)Pretty, pretty pleaseIf you ever, ever feelLike you're nothingYou are perfectTo me