Use the quadratic formula to write a quadratic equation that has the solutions x=-4 ± 2/6.

Use The Quadratic Formula To Write A Quadratic Equation That Has The Solutions X=-4 2/6.

Answers

Answer 1

Step-by-step explanation:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

Answer 2

Answer:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0


Related Questions

twice the sum of the number and 10 is 60 what is the number?​

Answers

Let the number be n

[tex]\\ \sf\longmapsto 2(n+10)=60[/tex]

[tex]\\ \sf\longmapsto n+10=60/2[/tex]

[tex]\\ \sf\longmapsto n+10=30[/tex]

[tex]\\ \sf\longmapsto n=30-10[/tex]

[tex]\\ \sf\longmapsto n=20[/tex]

please help asap !!
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20 A.x = 10 , y = 20 B. x=-10 , y = 20 C. x = -6 , y = 4 D. x = 2 , y = 12

Answers

Answer:

D is answer

Step-by-step explanation:

-2x + 2y = 20

2x = 40-3y

so -(40-3y)+2y =20

-40+3y+2y = 20

5y = 60

y = 12

2x = 40-3y

2x = 40-3(12)

2x = 40-36

2x = 4

x = 2

so x = 2 , y = 12

5y+4x=10.51 8y+3x=10.39

Answers

Answer:

  (x, y) = (1.89, 0.59)

Step-by-step explanation:

Written in general form, the equations are ...

  4x +5y -10.51 = 0

  3x +8y -10.39 = 0

These can be solved using the cross-multiplication method to find ...

  ∆1 = (4)(8) -(3)(5) = 17

  ∆2 = (5)(-10.39) -(8)(-10.51) = 32.13

  ∆3 = (-10.51)(3) -(-10.39)(4) = 10.03

Then the values of the variables are ...

  x = ∆2/∆1 = 32.13/17 = 1.89

  y = ∆3/∆1 = 10.03/17 = 0.59

The solution is (x, y) = (1.89, 0.59).

Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

Answer:y =3 x=1 hope this helps :)

Step-by-step explanation:

Three friends, Ayyub, Bran and Curtis, each have some mini chocolate eggs. Bran has 1 more egg than Ayyub. Curtis has 50% more eggs than Bran. Altogether, Ayyub, Bran and Curtis have 48 chocolate eggs. Curtis gives eggs to each of Ayyub and Bran so that they all have the same number of eggs. Work out how many eggs Curtis gives away in total.

Answers

Step-by-step explanation:

x = eggs of Ayyub

y = eggs of Bran

z = eggs of Curtis

x + y + z = 48

y = x + 1

z = 1.5y = 1.5(x + 1)

now we are using the second and third equation in the first :

x + (x + 1) + 1.5(x + 1) = 48

x + x + 1 + 1.5x + 1.5 = 48

3.5x + 2.5 = 48

3.5x = 45.5

x = 45.5/3.5 = 13

y = x + 1 = 13 + 1 = 14

z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21

for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.

48/3 = 16

so, everybody should end up with 16 eggs.

therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).

Please graph as this coordinate plane is. Thank you

Answers

Answer:

hope this helps :)

what are the answers to the equation please get back to me

Answers

Answer:

A

Step-by-step explanation:

Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5

the students at Walden Middle school are selling tins of popcorn to raise money for new uniforms. they sold 42 tins in the first week. how much money did they make in the first weeks

Answers

Answer:

$388.50

Step-by-step explanation:

9.25 *  42  = $388.50

A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r​

Answers

Answer: The value of R is 6.

Explanation: I recommend you go to these two links for an easier understanding:

https://www.wikihow.com/Find-the-Y-Intercept

https://www.wikihow.com/Find-the-X-Intercept

John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20

Answers

Answer:

John spends $23.60 at the barbershop.

Step-by-step explanation:

convert all % to decimals (/100)

0.2 x 25 = 5

25 - 5 = $20

0.18 x 20 = 3.6

20 + 3.6 = $23.6

What is the length of the line?


Answers

Answer:

5.4

Step-by-step explanation:

You need to use the Pythagorean theorem and if you know that the base is 2 and the height 5 then you got 5.4

What is the slope of a line that passes through (2, 4) and (3, 8)

Answers

4 is the correct answer because it just is i dont need to prove myself to you

6x-36+120=180
what is the value of x, in degrees?

Answers

X=16


Mark brainpower plz

I do not understand

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf \dfrac{5 {}^{6} }{5 {}^{1} } [/tex]

[tex] \sf 5 {}^{6 - 1} [/tex]

[tex] \sf {5}^{5} [/tex]

Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes?

Answers

Answer:

8 laps

Step-by-step explanation:

every 8mins 4 laps are run

Maria completed a total of 8 laps in 16 minutes.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.

Assume that she completes [x] laps in 16 minutes.

x = L[walking] + L[Running]

x = (2 + 2) + (2 + 2)

x = 8

Therefore, Maria completed a total of 8 laps in 16 minutes.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

what is the domain of f? khan academy

Answers

Answer:

x cannot = -2

Step-by-step explanation:

if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.

Answer:

A

Step-by-step explanation:

f(x) = [tex]\frac{x-3}{x+2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain

The domain of f(x) is all real values of x such that x ≠ - 2

Help please please!!!

Answers

i is 900, j is 6, k is 8, l is 1. Please give me brainliest

Is this right?
If not what is the answer

Answers

Answer:

yes it is correct

Step-by-step explanation:


Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276

Answers

Answer: B

Step-by-step explanation:

A recipe for banana bread calls for 5 1/4 cups of flour to make 3 loaves of banana bread. how much is used to make 1 loaf of bread?

Answers

Answer:

1 3/4

Step-by-step explanation:

help me please!!!!
please be quick!!

Answers

Answer:

40m^2 e

Step-by-step explanation:

Sixteen is 64% of what number?

A. 12
B. 48
C. 32
D. 25

Answers

Answer:

D. 25

Step-by-step explanation:

16 divided by 64% is 25

Answer:

25

Step-by-step explanation:

Hope I helped you.

Mrs. Martin bought a flat screen that originally costs $220.00. If her coupon was for 30% off.

Answers

Answer:

66$

Step-by-step explanation:

[tex]300 \times \frac{30}{100} = 66[/tex]

3. You need to hire a taxi. Taxi A charges $9.25 plus $1.50 per mile. Taxi B charges $10.50 plus $1.25 per mile. Find the number of miles for which the total costs are the same for each taxi.

Answers

Answer:

five miles

Step-by-step explanation:

taxi A: for one mile: 10.75

taxi B: for one mile: 11.75

two miles: A: 12.25 B: 13

three miles: A: 13.75 B: 14.25

four miles: A: 15.25 B: 15.5

five miles: A: 16.75 B: 16.75

On the most recent math test, Ashley
answered 23 of the questions
correctly. If she scored 92%, how
many questions were on the test?

Answers

Answer:

25 questions total

Step-by-step explanation:

I hope this helps!

The Andromeda galaxy is 2.54 million (2.54x106) light years from earth. If light can travel 5.865 trillion (5.865x1012) miles in a
year then how many miles is the Andromeda galaxy from earth?
O 1.48971x1019
O 2.309055x106
3.325x106
O 8.405x1018

Answers

Answer: 1.48971 x 10^19

Step-by-step explanation: 1-light year is approximately 5.865 x 10^12 which is 5,865,000,000,000 kilometers or 6 trillion miles in 1-year. The Andromeda galaxy is indeed 2.54 million light-years from Earth which is the closest galaxy to our Milky Way Galaxy.

The best way to this is to put this into a scientific calculator. If it shows 1.48971E19, the E stands for exponent and the 19 next to the E stands to the 19th power. That is written as 1,489,710,000,000,000,000 miles!! from Earth. That's a lot of zeros. That's the reason scientific notation is used; to avoid all those zeros and express very small/large figures.

Hope this explanation helps.

Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2

Answers

The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Given:

[tex]an = \frac{an - 1}{4} - 2[/tex]

where,

n = number of terms

First term, a1 = 2

Second term, a2

[tex]an = \frac{an - 1}{4} - 2[/tex]

a2 = {(2 - 1)/ 4} - 2

= 1/4 - 2

= (1-8) / 4

= - 7/4

Third term, a3

= {(3-1) / 4} - 2

= 2/4 - 2

= 1/2 - 2

= (1-4) / 2

= -3/2

Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Learn more about sequence:

https://brainly.com/question/6561461

Answer:

a1 = 2

a2 = -3/2

a3 = -19/8

Explanation:

a_n-1 means the last term.

So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2

It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8

A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?

Answers

Answer:185 guests

Step-by-step explanation: it can only hold 185 guests no more.

Plzzzzz help meeee plzzzzzzz plzzz

Answers

Answer:

try 20%

Step-by-step explanation:

dont want to fail gosh please help

Answers

Answer:

11X + 3 is correct

Step-by-step explanation:

first add the 9x and 2x= 11x

and then -2 + 5 = 3

Thus 11x + 3

Please Mark as brainliest

Other Questions
Is applauded a common noun 100 POINTSSound evidence provides strong support for a claim. Consider this evidence from the text:Colony losses from CCD are a very serious problem for beekeepers. Annual losses from the winters of 2006-2011 averaged about 33 percent each year.Select all the claims that this evidence would support.(A) Farmers and beekeepers remain perplexed as to why the honeybee colonies are collapsing.(B) Continued colony collapse will result in higher prices for the produce we eat daily.(C) Decreases in honeybee colony populations have farmers worried that crop pollination may be severely affected.(D) State and federal governments must help in the attempt to find clear answers for why bee colonies are collapsing.(E) Many beekeepers feel that CCD has been blown out of proportion in the media and in the farming community.(F) Finding a solution for CCD continues to be a priority for most beekeeperstheir livelihood depends on it. How does your body respond to an increase in the need for energy----why would you need more energy? Virus that infect E.coli is called Add the equations.3x-y=-57x+y=15 what is the perimeter of rectangle INA9.1010 units10 unite18 unitaunite Which piece of land doubled the size of the United States? Florida Purchase Louisiana Purchase Mexican Cession. Are the consequences of your decision something you can live with and feel proud of when other people find out? Why or why not? These steps are from a chemistry lab.Assignment:1. Pour 0.4 grams of salt into beaker A.2. Add 20% of the salt from beaker A to beaker B. 3. Add 3 ounces of water to beaker B.4. Stir the solution in beaker B.Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?_______________ grams 3. According to his speech, what foundational idea did Lincoln believe the United States was built upon Give a summary of the lesson what you have learned. about EXPONENTS!! Please help me :) 25 points The Federalist Papers were written by Alexander Hamilton, James Madison, and John Jay. What was the main impact of their essays?F.They increased popular support for a bill of rights. G.They persuaded states to ratify the U.S. Constitution. H.They led to the creation of a weaker federal government. J.They expanded the need for racial and gender equality. i dont want a link for an answer just say a b c d pls Hey guys! I just have a question ?, why do you seem to be brainly Philippines damaged? I just noticed because I can't comment and answer questions in brainly Philippines ... Hayst ._. A baby gains 11 pounds in its first year of life. The baby gained 45 pounds during the first four months and 3 pounds in4its second four months. How much did the baby gain in the last four months?o 3 apopoundsO132 poundsO O4 poundsO 5 pounds Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, "16)? f(x) = "(x " 2)(x " 4) f(x) = "(x 2)(x 4) f(x) = "2(x " 2)(x " 4) f(x) = "2(x 2)(x 4). let's find the value.3 upon 8 of 2m (in cm) Help help help help history What si 19 3/4 + 19 3/8 what is the scientific study of historic and prehistoric peoples.