The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. Find an equation for the parabola that passes through the points (−1, −11), (1, −5), and (2, −8).

Answers

Answer 1

Putting (-1, -11) in given equation, we get :

-11 = a + -b + c    ....1)

Similarly putting (1, −5) and (2, −8) we get :

-5 = a + b + c      ....2)

-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :

2( a + c ) = -6

a + c = -3

Solving equation 1 , 2 and 3 ,we get :

a = -2 , b = 3 , c = -6

Therefore, equation of parabola is :

y = -2x² + 3x -6

Hence, this is the required solution.


Related Questions

(8x^3+4x^2+x)-(2x^3+x^2+x)

Answers

Answer:

6x^3+5x^2+2x

Step-by-step explanation:

need help plz can someone please help​

Answers

Answer:

D

Step-by-step explanation:

Answer:

d. 40

Step-by-step explanation:

IDK WHY IT SAYS IM A COLLEGE PERSON IM NOT BUT UM I NEED HELP WITH THIS PLEASEEEEEE

Answers

Answer:

option 3

Step-by-step explanation:

Answer:

it's option 3 i think

Step-by-step explanation:

Simplify -√36 please

Answers

Answer:

-6

Step-by-step explanation:

djhcjici4n c rncinr

for the question the answer will be -6

4 thousands divided by 10 = hundreds

Answers

Answer:

400

Step-by-step explanation:

brainliest is appreiated

Find the value of a. Then find the angle measures of the quadrilateral.

Answers

Answer:

a = 60

Step-by-step explanation:

Since it is a quadrilateral, the sum of interior angles is equal to 360°. Now you have to create an equation to solve this question. To create an equation, you have to add all the interior angles to 360°.

The equation would be 2a°+a°+a°+2a° = 360°.

Then you would simplify it to 6a° = 360.

You would divide 6 on both sides to get to a° = 60.

Therefore, the value of a is 60.

Hope this helped! If not, please let me know! <3

A=60 hope this helps you

Kate has a negative bank account balance of $100. If she is depositing $5 a day , how long until she has a negative balance of only $30?​

Answers

Answer:

14 days

Step-by-step explanation:

-100 +5+5+5+5+5+5+5+5+5+5+5+5+5+5= -30

ANSWER TO GET BRAINLIEST!!!
Sheila can ride are bicycle 6,000 meters in 15 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. cal can ride his bicycle 750 meters in 1 minutes.

Answers

No he cannot it would be 425 minutes

3/4 (x + 18) = 15 What is x equal to

Answers

Answer:

x=2

Step-by-step explanation:

hope it helps

please mark as Brainliest

Answer:

x = 2

Step-by-step explanation:

For me it's easier to work with decimals than fractions, so I converted 3/4 to .75

.75(x + 18) = 15

.75x + 13.5 = 15  

That was just distributing the .75 but here is where it gets a bit confusing.

.75x + 13.5 = 15

       -13.5     -13.5

.75x = 1.5

Divide both sides by .75 to isolate the variable.

x = 2

Hope that helps and have a great day!

Who ever answers this I will mark as brainliest

Answers

Answer: uhhhhhh pass

Step-by-step explanation:

What is 1 1/2 + 3 7/8

Answers

Answer:

5 3/8

Step-by-step explanation:

Hi there !

1 1/2 + 3 7/8 =

= (1×2+1)/2 + (3×8+7)/8

= ⁴⁾3/2 + 31/8

= 12/8 + 31/8

= (12 + 31)/8

= 43/8

= 5 3/8

Good luck !

Consider the sequence of steps to solve the equation:
X-3
—— = x +3
3

Step 1 = X-3 = 3(x + 3)
Step 2 = X-3 - 3x + 9
Step 3 = x= 3x + 12
Step 4 = -2x = 12
Step 5 = x= -6
Identify the property of equality which yields Step 1.
A)
Division Property
B)
Addition Property
C)
Subtraction Property
D)
Multiplication Property

Answers

D. Multiplication Property

If (X-Y,X+Y )= (6,10 ) , find x and y!!

Answers

Answer:

Step-by-step explanation:

adding both,

x-y=6 ------------------(1)

x+y=10 -------------------------(2)

Cutting y, we get

2x=16

∴x=8

Eq. in (2)

y=10-8

 =2

Pls mark me brainliest

4
Solve the following equation: *
3x + 7 = 5x - 15
Enter your math answer
5
Solve the following equation: *
3(2x - 5) = 9x + 24
Enter your math answer

Answers

Answer:

4. x = 11

5. x = -13

Step-by-step explanation:

4.   3x + 7 = 5x - 15

           -7           -7

3x = 5x - 22

-5x   -5x

-2x = -22

-2x/-2 = -22/-2

x = 11

5. 3(2x - 5) = 9x + 24

6x - 15 = 9x + 24

    +15          +15

6x = 9x + 39

-9x   -9x

-3x = 39

-3x/-3 = 39/-3

x = -13

Hope this helps, have a great day:)

Ashmit purchased a PS4 which is marked at Dhs.1600 and discounted at 10%. How much did he pay for the PS4?

Answers

Answer:

the %of the 1000 is 100

and the %of the 600 is 60

now add them together =160

now the whole amount is 1600-160=1440 i believe that is the good answer

so sorry if some thing wrong

is math hard or easy. comment your answer

Answers

math is hard, but sometimes it can be easy

Answer:

a little bit of bth

Step-by-step explanation:

Which angles are corresponding angles?

Picture in the question, please help on test that’s due soon!

Answers

Answer:

8 and 16

Step-by-step explanation:

Answer:

I have 8 and 16

Which comparison is NOT true?
F 3.375 > 3.275
G 6.875 < 6.9
H 2.65 > 2.675
J 7.675 < 7.75

Answers

Answer:

H is NOT True.

Step-by-step explanation:

5 is not greater than 7.

Answer:

no 3 is the answer

Step-by-step explanation:

iam not sure

In the picture lines AB and CD are parallel. Find the measures of
the following angles. Explain your reasoning.
F
E
D
В.
38 A.
1. BCD
2. ZECF
3. ZDCF

Answers

Answer/Step-by-step explanation:

1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°

2. m<ECF = m<BCD (corresponding angles)

m<ECF = 38° (substitution)

3. m<DCF + m<ECF = 180° (linear pair)

m<DCF + 38° = 180° (substitution)

m<DCF = 180° - 38° (Subtraction property of equality)

m<DCF = 142°

An investment of $9,875 earns 4.8% interest

Answers

Answer:

474$

Step-by-step explanation:

what happens when you celebrate halloween in spring matrix multipication

Answers

Answer:

his is the day that immediately proceeds the last and final spring sabbat, ... The fact that Beltane and Samhain happen in unison twice a year lends ... You know all those Halloween recipes you've been saving on Pinterest for years now? ... Halloween and Samhain product brands as you can all year long.

Step-by-step explanation:

Which of the following is not a property of atoms?
A. All atoms of the same element are identical
B.Atoms have the ability to vibrate and move
C.Atoms have at least two electrons
D.Atoms have three different subatomic particles

Answers

Answer:

A. All atoms of the same elements are identical

Step-by-step explanation:

Two atoms of the same chemical element are typically not identical. They can be different if their electrons are in different states,

The answer is a all atoms of the same element are identical

A test contains two multiple-choice questions. If a student makes a random guess to answer each question. (Hint: Consider two outcomes for each question—either the answer is correct or it is wrong.) 2.2.1 How many outcomes are possible?

Answers

Answer: 2

Step-by-step explanation: he could ethier get t right or get it wrong

what is thales theory ?​

Answers

Answer:

Thales's theory about the cause of earthquakes is consistent with his hypothesis that earth floats upon water. It seems that he applied his floating on water simile to the natural phenomena of earthquakes. Aëtius recorded that Thales and Democritus found in water the cause of earthquakes

What is the slope intercept form for this?
Slope= -1 Y intercept= 8

Answers

Answer:

y= -x+8

Step-by-step explanation:

y=m+b Replaced M with -1 which will be -x.

y= -x+b Then replace the b with 8.

y= -x+8  

You do -x because its the same as -1.

Answer:

y = -x + 8

Step-by-step explanation:

Hi there!

We are given that the slope of a line is -1 and the y intercept of that same line is 8

We want to find the equation in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given the values of the slope and the y intercept, we can simply substitute these values into the formula to find the equation.

First, substitute -1 as m in the equation:
y=-x+b (when 1 is the coefficient, you don't need to write '1' in front of a variable; when -1 is the coefficient, putting only a - sign will suffice)

Now substitute 8 as b in the equation

y = -x + 8

Hope this helps!

See more on this topic here: https://brainly.com/question/27187813

who helps me do this

Answers

Answer:

1. True

2. false.

3. true

4. false

5. true

Selecting a State Choose one of the 50 states at
random.
a. What is the probability that it begins with M?
b. What is the probability that it doesn't begin with a
vowel?

Answers

Answer:

PART ONE- 8/50 PART 2-38/50

Step-by-step explanation:

First of all, we know that there are 50 states. Lets see how many states begins with M first.

Maine‎ (27 C, 5 P)

Maryland‎ (28 C, 5 P)

Massachusetts‎ (29 C, 4 P)

Michigan‎ (28 C, 4 P)

Minnesota‎ (28 C, 2 P)

Mississippi‎ (27 C, 6 P)

Missouri‎ (25 C, 3 P)

Montana‎ (27 C, 6 P)

There are 8 states which means that the probabilty is 8/50 which simplifies to 4/25

We know that 12 states begins with a vowel. 50-12 is 38/50

The probability that it begins with M is 0.16 and the probability that it doesn't begin with a vowel is 0.76

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

Given that, Selecting a State, Choose one of the 50 states at random.

We know that, P(A) = n(A)/n(S)

where, P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

a) There are 8 states which begins with M, that means the probability = 8/50 = 4/25 = 0.16

b) We know that 12 states begins with a vowel,

Therefore, the probability that it doesn't begin with a vowel = 1 - 12/50 = 38/50 = 0.76

Hence, The probability that it begins with M is 0.16 and the probability that it doesn't begin with a vowel is 0.76

For more references on probability, click;

https://brainly.com/question/30029248

#SPJ2

On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C has points (negative 4, 3), (4, 4), and (1, 1). A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the image △A'B'C'? Check all that apply.
AB is parallel to A'B'.
DO,1/2(x, y) = (one-half x, one-half y)
The distance from A' to the origin is half the distance from A to the origin.
The vertices of the image are farther from the origin than those of the pre-image.
A'B' is greater than AB.

Answers

Answer:

A, B, C

Step-by-step explanation:

It's correct, I took the activity before the quiz and got it right.

Happy to help :3

PLS HELP 6th GRADE MATH!
Sheila can ride are bicycle 6,000 meters in 115 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. Sheila can ride her bicycle 800 meters in 2 minutes.

Answers

False is the correct answer

Answer:

false

Step-by-step explanation:

A deal is a deal, so here is a good one, let's see who gets it right I had $5.00. My mom gives me $10.00, My dad gave me $30.00. My aunt and uncle give $100.00. I had another $5.00. How much money did I have?

Answers

Answer:150.00$

Step-by-step explanation:

The total amount that the person will have is $150.00

Amount that the person had = $5.00 + $5.00 = $10.00Amount given by mum = $10.00Amount given by dad = $30.00Amount given by aunt and uncle = $100.00

The total amount that the person had will be the addition of all the amount that he already had and those that he was given. This will be calculated thus:

$10.00 + $10.00 + $30.00 + $100.00 = $150.00

Therefore, the total amount that the person will have is $150.00

Read related link on:

https://brainly.com/question/18133988

Other Questions
if the gas has a volume of 20 L at a temperature of 25 Celsius what is the volume of the gas when it is heated to 100C if the pressure remains constant help me please. Alejandro babysits in the evenings. He makes a graph to show the moneyearns. How much money does Alejandro earn for each hour of babysitting?How do you know? Explain how president Roosevelts relationship with John Muir affected the presidents view on the importance of preserving land. its the part that says "They were new dogs, utterly transformed by the harness The toil of the traces seemed the supreme expression of their being, and all that they lived for and the only thing in which they took delight." The volume of a rectangular prism is 240 cm3. The height and width are each 4 cm. What is the length? Solve 6.74x 1.026 = 0.138. Round to the nearest thousandth. Show your work. Monica ran 20 miles in two days. How many miles did she run each day, if she ran 4 more miles on the second day than on the first day? miles, and on the second day she ran miles. I need help with theses 4 questions Suppose each stock in Andres portfolio has a correlation coefficient of 0.40 (rho = 0.40) with each of the other stocks. The markets average standard deviation is approximately 20%, and the weighted average of the risk of the individual securities in the partially diversified four-stock portfolio is 39%. If 40 additional, randomly selected stocks with a correlation coefficient of 0.30 with the other stocks in the portfolio were added to the portfolio, what effect would this have on the portfolios standard deviation? Suppose we want to choose 6 letters, without replacement, from 12 distinct letters Someone pleas help :( PLEASE HELP!!!!!!!WILL GIVE BRAINLIEST, THANK YOU, AND 5-STAR RATING!!!!!!!!!!!!!!How did the actions of James I change England and how did it cause their position to decline within European politics? place the items in order from lowest to highest degree of internal organizationstomachdigestive systemepithelial stomach cellstomach lining tissue 6 pointsAn ethical dilemma is * 1 a financial hardship that a corporate encounters 2 amoral problem with a choice between right and wrong 3 an ethical choice that a business has to make 4 emotional instability that happens to entrepreneurs What is the main point of mutation ? quick please !! Please Hurryyy!!! Continue the sentence in order Arteries, veins, and capillaries are part of what system Decide whether the underlined word below is a preposition, interjection or conjunction.The last customer left, so we closed the shop. A triangle has vertices on the coordinate grid at points A(2, 4), B(2, 9) and C(5, 6) . What is the length, in units, of AB ? Rrr I need help :(Read the following passage from Lincoln's "Gettysburg Address"Now we are engaged in a great civil war, testing whether that nation or any nation so conceived and so dedicated, can long endure.What does Lincoln point out about the Civil War and its effects on the nation?A. It happened a long time agoB. The United States was originally ruled by BritainC. The nation was founded upon very specific ideal'sD. The founding of the nation was marked by great struggle and strife