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

Statements apply to the expression 8^3 ?check all that apply

Answers

Answer: So, 8%3 = 2

Step-by-step explanation:

The volume of this cylinder is 4,939.22 cubic millimeters. What is the height? Use a 3.14 and round your answer to the nearest hundredth.​

Answers

Answer:

13 mm

Step-by-step explanation:

V = πr²h

4,939.22 mm³ = 3.14 × (11 mm)²h

4,939.22 mm³ = 3.14 × (11 mm)²h

h = 13 mm

Answer: 13 mm

1,3x + 3,9x = 0

Pls someone explain the steps for this. Like how do I find the x1 and x2.

Answers

Answer:

x=0

I used phone math!!!!!!!!

Which of the following equations? (picture included)

Answers

Answer:

B

Step-by-step explanation:

Adjust the equation so the line passes through the points.

Answers

Put a negative sign in front of the 3/2

whats 3x+2 x 12.
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.
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music recommendations pls (unknown artist pls not like billie e. or lil nas x/ariana g and megan/cardi b/Justin b) Artist like ALI, Kikou/ mafumafu/set it off/K.flay/twice/ASTRO/taemin. artist like them? like name the artist and some of their songs.

Answers

Answer:

sheck wes, sam hunt, mainiac, petty level , lakeyah , doja cat, sawatiee

Step-by-step explanation:

Answer:

NF: Songs are kinda depressing sometimes but he is a really good rapper. Hear clouds

Kid Laroi: Listen to without you.

iann dior: rapper and really good

Mumford and sons: more of slow music but upbeat at the same time

Tracy chapman: She has really good music. Recommend listening to fast car

those are some of my favs

Step-by-step explanation:


Use a special right triangle to write
tan 60° in simplest radical form.

Answers

tan 60 in radical for is square root of 3

Answer:

√3

Step-by-step explanation:

                               opposite side         (√3)/2

tan 60 degrees = ------------------------- = ------------ = √3

                                  adjacent side          1/2

Simplify. Use only one symbol between terms. Use standard form. 6x + 3 - 8 + x

Answers

Answer:

7 is the answer

Step-by-step explanation:

Because 6x + 3 -8 + x = x is 6

[Help asap, question is in image, will mark brainliest]

Answers

Answer:

V = 339.12

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

r = 6

h = 9

Work:

V = πr²(h/3)

V = 3.14(6²)(9/3)

V = 3.14(36)(3)

V = 113.04(3)

V = 339.12

PLSSS HELPPPPP

On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.



A:

B:

D:

E:

Answers

Answer:  B is 0  A is 1 D 2 E 3

Step-by-step explanation:

Answer:

a: 1

b: 0

d:2

e:3

Step-by-step explanation:

Since you already know that C is -1, you can add or subtract along the numberline by ones to get the values of each letter

¿Porque crees que es importante tener conocimientos sobre el cálculo de área de polígonos y circunferencias?

Answers

Step-by-step explanation:

En la vida diaria estamos rodeados de figuras geométricas como los polígonos y las circunferencias;alguno ejemplos son los siguientes:  las ventanas,las puertas,el reloj de pared,un balón,los vasos de cocina,las llantas de una bicicleta,un automóvil,etc.

Si necesitamos pintar la sala de nuestra casa,debemos saber exactamente la cantidad de pintura que vamos a necesitar ,para eso debemos calcular el área exacta  del  tramo de pared.

Si necesitamos acabar con la maleza de nuestra jardin ,debemos saber exactamente cual es el área de nuestro jardín ,para aplicar el volumen o la proporción exacta del plaguicida.

Conocer el área de un terreno o lote nos da una idea de lo grande que es y del valor que tiene, por eso es importante saber cómo obtener el área.

guys please help me with this question​

Answers

Answer:

= 15/20 + 1 10/20 + 4 4/20

= 5 29/20

= 6 9/20

Exact Form:

[tex]\frac{3}{4}[/tex]

Decimal Form:

6.45

Mixed Number Form:

6[tex]\frac{9}{12}[/tex]

6. How do you find the slope of a line?
A Divide the difference of the y values by the differences of the x values.
B Divide the difference of the x values by the differences of the y values.
C Divide the rise of the line by the run of the line.
D Both A and C.

Answers

Answer:

D

Step-by-step explanation:

You start at (8, 0). You move left 8 units. Where do you end?

Answers

Answer:

(0, 0)

Step-by-step explanation:

x = 8 - 8 = 0

y-value remains the same.

Answer: You would move to the origin (0,0)

Step-by-step explanation:

This is because when you move in teh direction of left or right you would utilize the x-axis. Thus, moving over to the left 8 units would lead you to the origin or in other words (0,0).

Last week, Shane bought 11 books and 4 movies for a total of
$92.
Today, Shane bought 9 books and 9 movies for a total of $144.
Assuming neither item has changed in price, what is the cost
of a book in dollars?

Answers

Answer: 1 book= 8 dollars

Step-by-step explanation:

9 x8= 72 meaning that 72 + 72 = 144 so 1 book must equal 8 dollars

The 1 book and shake bought 4 movies

Perform the indicated operation. 5/17 x 3/8

Answers

Answer:

15/

x

136

Step-by-step explanation:

im pretty sure

Answer:

0.11

Step-by-step explanation:

The desirable answer would be 0.11029411∞, and it would go on forever. Therefore, by rounding the designated number above, thou shall get 0.11.

I hope this is of good use.

-4(z + 3) - 4(5 - 4z) solution

Answers

Answer:

12z-32

Step-by-step explanation:

-4z-12-20+16z

4|1 9 2 pls help Its division​

Answers

The answer is 48

4 divided by 192

Find the slope plz help ASAP!!

Answers

Up 3 left 4
Slope= -3/4

The box plots show data about test
scores for two classes.
Test Scores
Class 1
Class 2.
+
t
60
70
90
100
80
Score
Which statement is best supported by the
information in the box plots? (7.1A, 7.18,
7.1E, 716)

Answers

____________________________

Answer:

t = r n − 2 1 − r 2 = 0.45 25 − 2 1 − 0.45 2 = 2.417 The critical value for α = 0.05 for a two-tailed test using the t 24 distribution is 2.064. Your value is greater than this, so you reject the null hypothesis and conclude that the study produced evidence that the variables are significantly correlated

Step-by-step explanation:

The scatter plot shows the amount of time Adam spent studying and his test scores, Predict Adam's test score when he studies for 6 hours
100
90
80
Test Score
70
O.
60
0
0 1 2 3 4 5
Time Studying (hours)
When he studies for 6 hours, Adam should score about

Answers

Answer:

I think 100

Step-by-step explanation:

What’s the answer plzzzzzzzz?

Answers

Step-by-step explanation:

please forgive me if I have done something wrong there I am in a hurry I have to go ccooking. if there's something wrong there you can tell me I check it out when I come back good luck.

Answer:

1. 4310.3

2.1809.6

3. 2414.7

4. 230.9

5. 767.8

6. 70.3

7.1143.4

8.125.7

9. 1382.0

10. 158.5

Step-by-step explanation:

Will mark brainliest !!!

Answers

Answer:

27

Step-by-step explanation:

Length * width * height to find the volume so it is 3*3*3=27

I need some brainliest :)
3 by 3 by 3 means that the volume is 27 cubic centimeters
3 cm for width, 3 cm for height, 3 cm for length

Work out
1/8
of 760

please help​

Answers

Answer: 95

Step-by-step explanation:

Think of 1/8 times 760 as 760/8 because it’s the same thing.

What number equals 8 when its cubed?

Answers

Step-by-step explanation:

2 would be the answer .

hope it helps u .

2 cubed = 8

equasion; 2 Cubed = [tex]2^{3}[/tex] = 2 × 2 x 2 = 8

i hope this helps <3

Given m
|| n, find the value of x.
т
n
(6x+19)°
(4x+11)
a
Help what is X

Answers

Answer:

x=15

supplementary angle equals 180

I NEED. HELP ASAP please!!!

Answers

Answer: It is a polynomial, and the degree is 4.

Step-by-step explanation:  The degree is basically the biggest number exponent

Step-by-step explanation:

x xndndjjdjdjdowiekeie

What are the distances between the pair of points

G(0,-3) and H(0,-6)

Answers

Answer:

the distance is 3 units

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

A number,
n
n, is multiplied by

0.7
−0.7. The product is

1
2

2
1

. What is the value of
n
n?

Answers

Answer:

0.8

Step-by-step explanation:

got it right on edg

Answer:

5/7

Step-by-step explanation:

PLEASE HELP FAST!!!!! I’ll mark brainliest

Answers

C is the right answer
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