Solve the equation. 6x=2x²+1 Please select the best answer from the choices provided A B C D

Answers

Answer 1

Answer:

[tex] x = \dfrac{ 3\pm \sqrt7}{2} [/tex]

Step-by-step explanation:

The given equation to us ,

[tex]\implies 6x = 2x^2 + 1 [/tex]

So we will use quadratic formula and solve out for x .

[tex]\implies 6x = 2x^2 + 1 \\\\\implies 2x^2 -6x + 1 = 0 \\\\\implies x = \dfrac{-b\pm \sqrt{ b^2-4ac}}{2a} \\\\\implies x = \dfrac{ 6 \pm \sqrt{ (-6)^2-4(2)(1) }}{2(2)} \\\\\implies x = \dfrac{ 6 \pm \sqrt{ 36 - 8 }}{4} \\\\\implies x = \dfrac{ 6 \pm \sqrt{ 28}}{4} \\\\\implies \boxed{\boxed{ x = \dfrac{ 3\pm \sqrt7}{2} }}[/tex]


Related Questions

I NEED HELP PLS!! it shouldnt be too hard bc im in 6th grade

Answers

Answer:

2x + 1

Step-by-step explanation:

That person added everything together that was shown which is incorrect. You shouldn't add the 12x + 3 as that should be the end result. You add 3x + 3x + 4x + 2 to get 10x + 2. You then subtract that by 12x +3 which is 2x + 1

what is r if r-24=6 jhhjjhjhhjhj

Answers

Answer:

r=30

Step-by-step explanation:

r-24=6

r=6+24

r=60

Does anyone know how to do this

Answers

Answer:

the reason is they are equal to each other because they are both right angle triangle

7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math7th grade math

Answers

Ok chill I’ll help u either a or b
The answer is A. It would be 8/50, which can be simplified to 4/25.

PLEASE I WILL GIVE EXTRA POINTS AND BRAINLIEST I PROMIS!!!!!!! I AM DESPERATE PLEASE I AM BEGGING YOU!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

If you comment fractions I will do them!

Step-by-step explanation:

Across:

A = 46

E = can't see the fraction

H = 2111

I = 64

J = 29

L = can't see the fraction

P = 55005

R = can't see the fraction

S = 21

T = 49

U = 308

V =129

X = can't see the fraction

Y = 4008

Z = 15

BB = 375

EE = 65

FF = 16

GG = 64

Down:

B = 600

C = can't see the fraction

D = 316

G = can't see the fraction

H = can't see the fraction

K = 9520

L = 15010

N = 299

O = 59

Q = 518

T = 4116

U = 333

V = 1006

W = 189

AA = 55

CC = 71

DD = 56

A basketball player makes 80​% of free throws. The random numbers below represent 20 trials for a simulation. Let the numbers 0 to 7 represent a made free throw and let 8 to 9 represent a missed free throw. Use this simulation to estimate the probability that the player makes both free throws.

Answers

Answer:

65%

Step-by-step explanation:

its not 75

hope this helps! :>

#5 Kristen needs to earn $320 in commission this week. She earns 8% of
what she sells at the electronics store. How many dollars worth of
merchandise does she need to sell? Round to the nearest dollar. *

Answers

Hi I’m someone new here and I really don’t know the answer but I’ll ask my 29 year old smart sister :)

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:


Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).


A = x(x − 4) − 0.5(8)(x − 4) − 4(8)

A = x(x − 4) − (8)(x − 4) − 4(8)

A = x(x − 4) + (8)(x − 4) + 4(8)

A = x(x − 4) + 0.5(8)(x − 4) + 4(8)

Answers

Step-by-step explanation:

here .................

Answer:

A. A = x(x - 4) - 0.5(8)(x - 4) - 4(8)

Step-by-step explanation:

Total area:

A(t) = x(x - 4)

Area of the stage:

A(s) = 0.5(8)(x - 4)

Area of the closet:

A(c) = 4(8)

Area to be painted:

A = A(t) - A(s) - A(c)A = x(x - 4) - 0.5(8)(x - 4) - 4(8)

Correct choice is A

How does making a frequency table or line plot help you see which value occurs most often in a data set?

Answers

Answer:

A frequency table and a line plot show which value occurs most often. this is done by labeling every value. The person can clearly see the organized layedout numbers in a frequency table or line plot.

Step-by-step explanation:

If you have any questions feel free to ask in the comments.

PLEASE PLEASE PLEASE PLEASE HELP MEEEE PLEASE I BEG

Answers

I think 5,8 if not I’m srry

Step-by-step explanation:

(4, 8)

they already give you your Y so if you find the middle between the bank and hospital and then find the number for the X theres your answer. That was confusing but im unsure how else to explain it ;-; sorry

The diameter of a circle is 12 cm. Find its circumference in terms of pi

Answers

Answer:

37.68

Step-by-step explanation:

to get radius divide diameter by 2.

formula for circumference is 2×r×pi.

since we already have the diameter we don't need to ÷ by 2 to get the radius because then we would have to multiply it back again.

pi=3.14.

12×3.14=37.68.

Can I please have Brainliest?

(3x+1)−(6x−4) A.)−3x+5 B.)2x C.)3x−3 D.)−3x−3

Answers

A

Hope this helped!

:T

Find the volume of the rectangular prism.
45 cm
15 cm
25 cm

Answers

Answer:

16875cm³

Step-by-step explanation:

45x15x25= 16875cm³

plz mark me as brainliest.

Answer:

15 cm trust me its right because I've don't this question in school

8 more than twice a number is 18.

Answers

Answer:

18 + (18 more than) 2x (twice a number) = (is) 8

18+2x=8

2x=-10 (subtract 18 from both sides)

x=-5 (divide both sides by 2)

not my work

(I BEG YOU HELP ME TUTORS! ITS A MULTIPLE CHOICE ILL GIVE U BRAINLY)

Answers

Answer:

ans= (2)

Step-by-step explanation:

y=x²-1 is the only quadratic function there

1 is a linear function

3 is a cubic function

4 is a a constant function

If the standard deviation of a data set were originally 8, and if each value in
the data set were multiplied by 1.75, what would be the standard deviation of
the resulting data?
A. 6
B. 8
C. 14
D. 2

Answers

The correct answer would be C. or 14

What is the answer and how to answer

Answers


DONT CLICK THE LINKS

Can someone please help me

Answers

Answer:

C/7 = 20

Step-by-step explanation:

PLS DO THIS ASAP!!!!! do the ones that are boxed and the ones with the Xs dont do!
This is due in 5 mins pls do!!! will give brainiest and 5 points

Answers

Answer:

10 19/24, 4 9/16, 3 11/15

Step-by-step explanation:

15. 15 4/24 - 4 9/24 = 10 19/24

13. 8 3/16 - 3 10/16 = 4 9/16

17. 6 5/15 - 2 9/15 = 3 11/15

A triangle has an area of 72 square feet. The height is 12 feet. What is the length of the base (in feet)?

Answers

Answer:

6ft

Step-by-step explanation:

we went over this in class

Need help! Have a good day

Answers

Answer:

Use the website www.bartley.com !!! I has helped me a lot and its actual teachers/tutors who answer your questions in about 30 minutes :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y= 1/2x +8

hope this helps

Find area 6ft 8ft 4ft 5ft 5ft 4ft

Answers

Answer:

We need more then just the numbers. May you please provide a screenshot?

ignore the ones that are chosen i didn't mean to press it, someone help

PLSS HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT AND CAN SOMEONE PLS TELL ME WHAT TO DRAW LIKE SHADE? A PIC OF EVERYTHING SHADED AND DRAWN WOULD BE RLLY NICE TYSM HAVE A GOOD DAY! BUT PLS HELPP

Answers

Answer:

shading,

Step-by-step explanation:

do shading to the fraction supposed to be, eg: 1\4 here we have four parts divided and 1 is to be shaded as it gives 1 out of 4 okay? or 2\8 here in 8 divided parts only shade 2 as it's given. I hope it's right!!

Shading, I hope that’s the correct answer

Factor the following :

Answers

Answer:

(6x - 7y)(6x + 7y)

Step-by-step explanation:

36x² - 49y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

36x² - 49y²

= (6x)² - (7y)²

= (6x - 7y)(6x + 7y)

Answer:

(6x + 7y)(6x - 7y)

Step-by-step explanation:

36x² - 49y²

= (6x)² - (7y)²

= (6x + 7y)(6x - 7y)

In this question we used the identity-

a² - b² = (a + b)(a - b)

Whats:

1+1

I need help immediately, please.

I'm struggling and freaking out.

Answer as soon as possible.

Answers

Answer:

2

Step-by-step explanation:

hdjxjdbdjdnekzneisbd

Answer:

1+1=2

Step-by-step explanation:

lol, i hope this helped.

brainliest please? :)

ANSWER
DO NOT SEND A LINK I WILL REPORT ​

Answers

Answer:

Hope i got them all

Step-by-step explanation:

1W

1W B1

1W B2

1W B3

1W R1

1W R2

1W B1 B2

1W B1 B3

1W B1 R1

1W B1 R2

1W B2 B3

1W B2 R1

1W B2 R2

1W B3 R1

1W B2 R2

1W B1 B2 B3

1W B1 B2 R1

1W B1 B2 R2

1W B1 B3 R1

1W B1 B3 R2

1W B1 R1 R2

1W B1 R1 B2

1W B1 R2 B3

there are more possibilities if you can do the same collor twice for example 1W 1W

Or B2 1W B2 1W

A sociologist randomly selects single adults for different groups of​ three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.

Answers

I have attached the complete question.

Answer:

Mean; μ = 1.648

Standard deviation;σ = 0.8610

Step-by-step explanation:

From the image attached, we can see that the probabilities given under the p(x) column are;

0.091

0.334

0.408

0.166

Let's find out if these values give a probability distribution.

ΣP(x) = 0.091 + 0.334 + 0.408 + 0.166

ΣP(x) ≈ 1

Their sum is approximately 1 and they are all between 0 and 1. Thus, it is a probability distribution.

Mean is found by;

μ = ΣxP(x)

From the table attached, x = 0, 1, 2, 3

Thus;

μ = (0 × 0.091) + (1 × 0.334) + (2 × 0.408) + (3 × 0.166)

μ = 1.648

Standard deviation is given by;

σ = √[Σ(x - μ)²•P(x)]

σ = √[((0 - 1.648)² × 0.091) + ((1 - 1.648)² × 0.334) + (2 - 1.648)² × 0.408) + ((3 - 1.648)² × 0.166)]

σ = 0.8610

Share 60 in the ratio 6:4​

Answers

Answer:

36:24

Step-by-step explanation:

6+4=10

60/10=6

6*6:4*6

=36:24

Question 7: Find the value of x. The numbers below are in degrees.
140
S
50
20

Answers

Given:

A figure.

To find:

The value of x.

Solution:

Draw two parallel lines as shown in the below figure.

If a transversal line intersect two parallel lines, then alternate interior angles are same.

[tex]a=20[/tex]              (Alternate interior angle)

[tex]d=b[/tex]              (Alternate interior angle)           ...(i)

The value of angle d is

[tex]d=50-a[/tex]

[tex]d=50-20[/tex]

[tex]d=30[/tex]

Using (i), we get

[tex]b=30[/tex]

If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.

[tex]c+140=180[/tex]

[tex]c=180-140[/tex]

[tex]c=40[/tex]

Now,

[tex]x=b+c[/tex]

[tex]x=30+40[/tex]

[tex]x=70[/tex]

Therefore, the value of x is 70.

The mathematical expression 2 ∈ V means:

Answers

It could be nonsense without any more context…

But more likely than not, V is understood to be some set of numbers, in which case the statement "2 ∈ V" means "2 belongs to the set V".

Other Questions
What distinguishes the research, investigation, and analysis phase from later phases of the historical preservation process?It involves careful attention to the history of the structure.It is the only phase that does not involve construction.It is primarily involved with fact finding.It is the only phase that does not involve design. In an electrical circuit, electrons move from the __________.A. Negative pole to negative pole B. Negative pole to positive pole C. Positive pole to positive pole Explain the deeper meaning of the quote,Dont trust everything you see. Even salt looks like sugar What point is the author trying to make about exploring Mars? Describe the author's point and how he supports this point with reasons and evidence from the text. (The Outsiders Chapter 9)Why does Darry suggest that PB doesnt fight? rewrite without parentheses and simplify (y+4)2 helppppppppppppppp.......what is the final velocity of a body if it is moving with 13 m/s in 300 seconds and its acceleration is 30 m/s 2.? What is (0.55x - 0.8) - (0.6x - 0.55)? which of the following is equivalent to the expression above The campus at Joliet Junior College has a lake. A student used a Secchi disk to measure the clarity of the lakes water by lowering the disk into the water and measuring the distance below the water surface at which the disk is no longer visible. The following measurements (in inches) were taken on the lake at various points in time over the course of a year. 826462666843382668565466a.Using the data above, compute a point estimate for the population mean and population standard deviation. b.Construct a 95% confidence interval for the mean Secchi disk measurements. Interpret this interval.c.Construct a 95% confidence interval for the population standard deviation Secchi disk measurements. Interpret this interval. need help with 19 to 21 with pitcure To mail a letter to Vienna, Austria the post office charges a flat rate of $9.25 and an additional $0.75 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.75x+9.25, where y is the cost of the postage and x is the weight of the letter in ounces. hi please help me with this one sentence because i have no idea and i am from romania so please help you have to put a missing wordPeople in the community are polite and friendly on a ______ level, but feelings of resentment run deep. What do you think most likely cause the differences seen in the two graphs for cold spring and normal wearher The expression -x^2 + 70x -600 represents a companys profit for selling x items. For which number of items sold is the companys profit equal to zero? which triangles are similar psych questionWhen diffusion of cultural elements occurs, the result is that __________.the dominant culture resists the pressures of changecultural practices are adopted in new places and contexts the customs of a dominant culture are forced on otherscultural universals are undermined in many societies Think about ads, articles,or websites that influence positive or negative social or political change?Need help ASAP 18.0 g of carbon produces 55.0 g of carbon dioxide. What is the theoretical yield of CO2? I tried out for the girls' basketball team when I was in seventh grade, and I'll never forget how nervous I was. The coach seemed to only be watching the older girls at tryouts, and I knew I'd have to be at my best to even get her attention. The next day, when they'd posted the names, I was ecstatic to see mine there beside the other team members. It was the happiest day of my young life. But the unfortunate reality of school teams is that some kids get picked and others do not. I'd like to share some things that I believe helped me make that team. I'm hoping these tips might make your own tryouts, no matter what the sport or activity, a little less nerve-wracking, and maybe give you a bit more control over the outcome. First, you need to be conscientious and alert at tryouts. Pay close attention to what you're being instructed to do, whether it's running a drill or observing a demonstration. Keep your eyes on the coach and be ready to jump when called. This will convey that you really want to be there. Also, follow directions to the letter, which will also show that you're "coachable" and not a prima donna or a lazybones. Next, be a scrapper. Whatever the sport, make sure you're the one who's going the extra mile, who's diving for a volleyball or scrambling to return an impossibly deep backhand in tennis. Don't think of it as "kissing up" to the coach, but as working hard to impress, which is what you're there to do. Finally, I mentioned "coachability" above. This is a vital quality coaches seek that you need to try to embody. Basically it means being flexible and listening well. Whatever the coaches say to you during tryouts, take their comments immediately to heart. If the coach says, "Hey, Herlinger, ya gotta plant both feet when you're blocking someone under the basket so you don't draw the foul," you answer, "Right, Coach, thanks," and you apply it immediately. Then you check back with the coach to make sure you did it correctly. It can be a fine line between bugging the coaches and making sure they notice you. But just keep in mind, when they sit down after the tryouts and scratch their heads about whom to select, they need to be able to easily call up your face and name. If you did your job, they'll remember you with a smile and a nod and know they'd be proud to have you on the team. But if you don't make the cut, don't lose heart; there's always next time. See if you can get on a junior varsity or intramural team so you can work on your moves. That'll give you a leg up when next year's tryouts come along.How does the author express her opinion in this article? A. by interviewing other kids on sports teams B. by quoting things she'd heard coaches say C. by telling fictional stories about sports teams D. by speaking from her own personal experience