Use the quadratic formula to solve for x.
6x²-3x=1
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

Answer 1

If we know the quadratic formula, the quadratic formula is

x = [-b ± √(b²- 4ac)] / 2a

Gosh! So overwhelming! But let's look at the composition of a quadratic equation:

ax² + bx + c = 0

And we have 6x² - 3x = 1. So, what do we do? We need to put this quadratic equation into an easy form to find the value of a, b, and c to plug in to the equation.

We can just minus one on both sides to get this:

6x² - 3x - 1 = 0

Is it in the form of ax² + bx + c? Yes! a = 6, b = -3, and c = -1. Now, all we have to do is plug it into the quadratic formula.

x = [-b ± √(b²- 4ac)] / 2a

x = [-(-3) ± √((-3)²- 4(6)(-1))] / 2(6)

     [3 ± √(9- 4(6)(-1))] / 12

     [3 ± √(9 + 24)] / 12

     [3 ± √(33)] / 12

At this point, we should just use a calculator, and recognize we have two answers because of the plus-or-minus sign! (or this sign: ±)

[3 ± √(33)] / 12

1) [3 + √(33)] / 12 = 0.73 approximately

2) [3 - √(33)] / 12 = -0.23 approximately

So, x=0.73 and x= -0.23.


Related Questions

1. A student has a rectangular block. It is 2 cm wide, 3 cm tall, and 25 cm long. It has a
mass of 600 g. Determine the density of the block to the nearest unit.
8.9

Answers

Answer:

20 gcm^3

Step-by-step explanation:

Density = mass / volume

Volume = 3 X 2 X 25 = 30 cm

600 / 30 = 20

not 100 % sure though

Please please answer this for me

Answers

The answer is 6.88 square inches

What is the result of 36 divided by 9? Use the number line to find the answer.

A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line.
3
4
6
12

Answers

Answer:

4!

Step-by-step explanation:

Answer:

4 is your answer

Step-by-step explanation:

A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?

Answers

94.2 cm divided by pi which is 3.14 equals to 30 evenly hoped this helped yall out

What is the slope of a line perpendicular to the line with equation y = 5x – 2?


5


−15


–2


–5

Answers

Answer:

- [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]


[tex]3 + 3 + 3 = [/tex]
[tex]5 + 5 + 5 + 5 = [/tex]
[tex]5 + 5 + 3 = [/tex]
[tex]3 + 3 + 3 + 5 = [/tex]
[tex]5 + 5 + 5 = [/tex]
[tex]5 + 5 + 3 - 3 = [/tex]
[tex]5 + 5 + 3 + 3 + 3 = [/tex]
NO FILES PLEASE

Answers

Answer:

[tex]3 + 3 + 3 =9 [/tex]

[tex]5 + 5 + 5 + 5 =20 [/tex]

[tex]5 + 5 + 3 =13 [/tex]

[tex]3 + 3 + 3 + 5 = 14[/tex]

[tex]5 + 5 + 5 =15 [/tex]=15

[tex]5 + 5 + 3 - 3 =10 [/tex]

[tex]5 + 5 + 3 + 3 + 3 =19 [/tex]

Answer:

Step-by-step explanation:

3+3+3=9

5+5+5+5=20

3+3+3+5=14

5+5+5=15

5+5+3-3=10

5+5+3+3+3=19

BRAINLIEST TO CORRECT ANSWER!!! NO links as answers, or you will be reported!! (question 4)

Answers

Answer:

Hello! Your answer would be, C) Divide by 2

Step-by-step explanation:

And plz don't be mean. :(

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

.Find the area of the figure

Answers

Answer:

Area of the figure = 171 in²

Step-by-step explanation:

Composite figure given in the picture comprises of three figures, two right triangles and one rectangle.

Area of the composite figure = Area of two right triangles + Area of the rectangle at the center

Area of one right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(12)(9)[/tex]

                                           = 54 in²

Area of the rectangle = Length × Width

                                    = 7 × 9

                                    = 63 in²

Area of the composite figure = 2(54) + 63

                                                  = 108 + 63

                                                  = 171 in²

Can someone please help me?? It’s graphs using the Pythagorean theorem or something, the picture is shown. I’ll give you 30 points AND Brainly: )

Answers

I think it is 6,5 I don’t know

2. The average distance between planet Neptune
and the Sun is about 4 × 109 kilometers. What
is 4 × 109 written in standard notation?
A. 0.0000000004
B. 0.000000004
C. 400,000,000
D. 4,000,000,000

Answers

the answer to this question is C

Help please! Will give brainiest!!!!!!!
Write an equation in slope-intercept form of the line that passes through the given points.

Answers

Answer:

y = -1/2x+1

Step-by-step explanation:

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x + 1.49 = 100 What error did Barbara make in writing the equation? the number of bottles of water.​

Answers

Answer:

she didnt write an x next to the 1.49 in her equation. she is writing an equation for how many bottles she is selling but according to her equation she is selling water for 1.25$ times x amount of bottles and selling only one ice tea

56 = -48 - 8y
Please answer quickly

Answers

rearrange them first add 48 to both sides of equations. simplify them 104 = 8y y=-13

Step-by-step explanation:

hope this helps

Answer: y = 13
First: opposite operation
Second: add
Third: division
And you will get your answer.
56 = -48 - 8y
+48. +48
104 = 8y
8. 8
Y= 13

Use dimensional analysis to convert the measurements.
A dwarf sea horse stvims at a rate of 51.68 feet per hour. Convert this speed to inches per minute.
The speed is
inches per minute.

Answers

Answer:

10.336 in/ min

Step-by-step explanation:

The speed is:

51.68 feet / hour

Covert to inches / min:

1 foot = 12 in, 1 hour = 60 min51.68 feet / hour =51.68 * 12 in / 60 min = 51.68 * 1/5 in / min = 10.336 in/ min

What side lengths form a right triangle?

Answers

Answer:

6, 8, and 10

Step-by-step explanation:

For a set to represent the side lenghts of a right triangle, square value of hypotenus must be equal to sum of square value of other two side lenghts

the set that meet these requirment is

10^ = 6^2+8^2

100 = 36 + 64

Answer:

its 2,3 and 4 its the correct answer

#CARRY ON LEARNING

Please help with this its confusing somehow :(​

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

Out of the 90 customers at Eva's boutique35 wore a size extra-large. What is the probability that a randomly selected customer wore a size extra-large? Write your answer as a fraction or whole number. P(extra - large) =

Answers

Answer: 7/18

Step-by-step explanation:

Number of customers at Eva's boutique = 90

Number of customers who wore a size extra-large = 35

The probability that a randomly selected customer wore a size extra-large will be:

= Number of customers who wore a size extra-large / Number of customers at Eva's boutique

= 35 / 90

= 7/18

Therefore, the probability that a randomly selected customer wore a size extra large is 7/18.

29 , 58 , 116 , 7th term

Answers

Answer:

The 7th term is 1856.

Step-by-step explanation:

The equation of this is n * 2 for the next of every variable. So with this knowledge,

first term = 29

Multiply by 2.

second term = 58

Multiply by 2.

third term = 116

Multiply by 2.

fourth term = 232

Multiply by 2.

fifth term = 464

Multiply by 2.

sixth term = 928

Multiply by 2.

seventh term = 1856.

What are the formulas for a 90, 180, 270, and 360 rotation?

Answers

formulas: 90 = (b, -a),180 = (-a, -b); 270 = (-b, a); 360 = (a, b).

4+2/5+2/5+1/25 pls help me its for me home work

Answers

The answer in fraction form is in the picture

Answer:

4.84

Step-by-step explanation:

4+2/5+2/5+1/25

What is the measure (in radians) of central angle o in the circle below? 4 cm o 6 cm​

Answers

Answer:

the answer it will be 4cm

Answer: 1.5

Step-by-step explanation:

Khan academy

Find the length of the arc. Use exact answer

Answers

Answer:

solution in attachment

hope it helps

Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5} 5 2 ​ start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability \dfrac{3}{8} 8 3 ​ start fraction, 3, divided by, 8, end fraction of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?

Answers

Answer:

2/5*0=0

Step-by-step explanation:

i did it on khan

2) What is the five-digit number, no zeroes, in which the second digit is three times the first, the third is one more than the second, the fourth is four
times the first and the last is one-half more than the second?

Answers

the five digit number:

let the first digit be x

x _ _ _ _

x 3x _ _ _

x -3x- 3x+1- 4x- 3x+1.5x

This is the structure of the digit:x -3x- 3x+1- 4x- 3x+1.5x

choose the monetary amount that is equivalent to 1 7/100


$ 1.70
$ 0.07
$ 1.07
$ 0.70

plsssssssssssssssssssssssssssssssssssss answer ​

Answers

Answer:

c. $1.07 is equivalent to 1 7/100

Step-by-step explanation:

hope this helps :)

please dont guess. need the answer asap

Answers

WILD ANSWER - 35% possibility it could be wrong. Please check with other answer first.

Answer: X=15.4

Step-by-step explanation:

Cos 39 = x/26

12 x  =  0.77714596

x = 15.44111479

X=15.4

Someone answer this please

Answers

Answer:

The answer is -72/5.... also as 14.4

Answer:

Step-by-step explanation: first put in the value for x, 8(-6) -5y=24

Then solve from there, 8x-6= -48

-48-5y=24

-5y=24+48 ( becomes pos when transferred to this side, since it turns to the opposite direction )

Now, -5y=72

Decide both sides by -5 and then

Y = -14.4 or -14 2/5

A certain television is advertised as a 21-inch TV (the diagonal length). If the height of the TV is 13 inches, how wide is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

16.50

Step-by-step explanation:

The width of the TV will be equal to 16.49 inches.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

Given that a certain television is advertised as a 21-inch TV (the diagonal length). If the height of the TV is 13 inches.

The width of the TV will be calculated as,

W = √ ( 21² - 13² )

W = √ ( 441 - 169 )

W = √272

W = 16.49 inches

Therefore, the width of the TV will be equal to 16.49 inches.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ2

Gregor needs to know exactly how much revenue his company generated in the first quarter of the year. What type of financial statement should he look at?

Answers

Answer:

income statement

Step-by-step explanation:

There are 4 types of financial statements

the income statement the statement of cash flowsthe balance sheetthe statement of changes in equity

The income statement records the net profit or loss of company in a particular period. it records the revenues and expenses.

the balance sheet contains information about the asset, liabilities and equity of a company

the statement of cash flows records the inflow and outflow of cash in an organisation

the statement of changes in equity records changes in equity

Will mark brainlist 15 POINTSSS HELP

How many of each different 2-D shapes do you see?

Answers

5 different sides so 5 different 2-d
5 different sides is an pretty sure
Other Questions
Help ASAP 6x - 3(2 3x) On the planet Feline, there are only cats. For one particular phenotype, Myles, there are two manifestations: either the cats like jazz music (the wild type phenotype) or they do not (the mutant phenotype). Under the assumption this phenotype is determined by a single gene with two alleles, and given that a mating of two wild-type cats produces the following number of offspring: Female, wild-type: 341; Male, wild-type: 369; Female, Myles: 121; Male, Myles: 123. The mode of inheritance most consistent with these data is:________ A. Autosomal dominant. B. Two-locus inheritance. C. Sex-linked recessive. D. Autosomal recessive. E. Two-locus dominant. PLEASE HELP ME TO ANSWER THIS QUESTION. A right pyramid PQRST has a rectangular base QRST. Giventhat W is the midpoint of QS and RT, the lengths of QT = 8 cm,TS = 6 cm and point P is vertically above point W, calculate(a) PT, in cm, if PW = 12 cm(b) the value of < PTR [angle PTR]THANK YOU!!! (50 points) please help! no links, brainliest, extra points. I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.Students were asked to find the median of this data set.Darcy said, "The median is the number in the middle of the list. So, the median is 21."Darcy made a mistake.Her mistake is that she did not _____A) choose the data point that is in the data set most oftenB) order the data points from least to greatest before finding the middle data pointC) ignore the data points that repeat in the data setD) divide the middle data point by the total number of data points ,The correct median of the data set is ___A) 14B) 16C) 15D) 14.5E) 15.5 Plz help me well mark brainliest if you are correct!Look at the diagram representing asteroids and planetsOrbiting Which image has the same purpose?? Which of the following relations is a function?A. (0,4), (-3, 2), (5, 1), (-7, 2)B. (0,0), (-3, 3), (5, 1), (-3, 5)C. (5, 1), (-3, 4), (0, 1), (5,2)D. (0,4), (-3, 6), (0, 3), (-7, 2) Mr levels gave 5 tests the test scores were 200,225,215,199 and 225, what is the mean median and mode of the tests that mr levels gave? Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child? Which type of comb would be best to use in the winter, a plastic comb or a glass comb? Explain using the Triboelectric series. 20 POINTS!! HELP ME ON THIS OTHER ONE PLSS!!!Answer the following questions:1. What is a healthy relationship?2. What are the 3 C's of a healthy relationship?3. What are the characteristics of an unhealthy relationship?4. What is a harmful relationship?5. What is a healthful relationship?6. What is the difference between physical and emotional abuse?7. What is an STD and how are they spread?8. In what ways can you protect yourself from STDs?9. Can STDs be treated?10. What is abstinence?11. Can gonorrhea be treated?12. What are the symptoms of syphillis?13. Can trichomoniasis be treated?14. What STDs that we discussed have a vaccine?15. What is chlamydia? How can you get it?16. Pick one STD that we discussed and answer the following?- What is it?- How can you get it?- What are the symptoms?- Is it treatable? How? Question 1 of 10Choose the expression that is equivalent to 50 - 160 - 69-3) +39.A. 5q2 - 34 - 3B. 2 +7q-2C. 50-4+2O D. +70+2SUBMIT The cast of the school play, Annie Jr., has 16 girls and 12 boys. If this ratio remains the same for the whole school, how many students at Liberty Middle School are girls it there are1,120 total students? Sheila buys 33kg of rice, 9kg of cornmeal and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought? A. 15kgB. 11kgC. 18kgD. 23kg URGENT pleaseee help 10 points and brainlist if right!!!!Use the Sohcahtoa method!! 14. The Manilow family paid their electric bill using balanced billing all last year. The monthlypayment was m dollars. At the end of the year, the electric company told them they used moreelectricity than they were billed for, and they owed d dollars. Express the value of the electricityused by the Manilows last year algebraically.Z Read this message from Assistant Principal Amy Gaskell.To all Faculty, Staff, Students, and Parents:As Principal Kohl has written, I am leaving the Armstrong School to become the principal of another school. While I am thrilled about that new challenge, I also feel sad about leaving our school. I will miss each and every one of you. I will carry the friendships and memories Ive made here with me forever. Thank you all for being so wonderful!Why does Ms. Gaskell include the detail in bold? A. Shes excited about her new job as a school principal. B. Shes afraid she wont make friends at her new school. C. She wants to encourage her friends to go to the new school with her. D. She wants to express her feelings about the people at Armstrong School. Determine which quadrant each pair of coordinates will be in.3(-8, -7(8,7)(8, -7)(-8,7) Which inference could be made based on the details in the section "Ancient Persia" Should we take care of useless equipment and avoid the "trash pile" that is growing in space? Solve the following set of equations by Cramer's Rule3x + 2y = 12x + 5y = 17