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

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]

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

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

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

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

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).

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:

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 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:

Please help with this its confusing somehow :(​

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

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

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

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

Please please answer this for me

Answers

The answer is 6.88 square inches

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

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

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.

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

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

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

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 :)

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

.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

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.

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

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

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


[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

Find the length of the arc. Use exact answer

Answers

Answer:

solution in attachment

hope it helps

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
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