Solve (2x-1)^2=8 using the quadratic formula

Solve (2x-1)^2=8 Using The Quadratic Formula

Answers

Answer 1

Step-by-step explanation:

The given equation is :

[tex](2x-1)^2=8[/tex]

or

[tex](2x-1)=\sqrt{8}\\\\2x-1=\pm 2\sqrt2\\\\2x=\pm 2\sqrt2 +1\\\\x=\dfrac{2\sqrt2 +1}{2}\\\\x=\pm (\sqrt 2+\dfrac{1}{2})\\\\or\\\\x=\sqrt2+\dfrac{1}{2},-\sqrt2-\dfrac{1}{2}[/tex]

Hence, this is the required solution.


Related Questions

Inscribe a circle in a unit square and to r= 1000 random.

a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?

Answers

Step-by-step explanation:

area of square = 1

area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]

bu estimate  [tex]p^ = X/n = 760/1000 = 0.76

Therefore,

[tex]\frac{\pi }{4} \approx 0.76[/tex]

[tex]\pi \approx 0.76*4 =3.04[/tex]

b) if n tend to infinity

[tex]\pi will approach 3.14[/tex]

Answer:

uvfhmfa

Step-by-step explanation:

Nếu cắt mặt cầu bởi một mặt phẳng chiếu đứng thì hình chiếu bằng của giao tuyến là:

Answers

Answer:

Im sorry I can't understand you

what are functions in math

Answers

A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.

At a price of per ticket, a musical theater group can fill every seat in the theater, which has a capacity of . For every additional dollar charged, the number of people buying tickets decreases by . What ticket price maximizes revenue? Revenue is maximized when the price is

Answers

Answer:

The appropriate answer is "$12".

Step-by-step explanation:

As per the question,

Price per ticket,

= [tex]4+k[/tex]

Number of people,

= [tex]1800-90k[/tex]

Now,

The revenue (R) will be:

= [tex]Price \ per \ ticket\times Number \ of \ people[/tex]

By putting the values, we get

= [tex](4+k) (1800-9k)[/tex]

= [tex]-90k^2+1440k+7200[/tex]

or,

⇒ [tex]R'=1440-180k=0[/tex]

⇒                     [tex]180k=1440[/tex]

⇒                          [tex]k=\frac{1440}{180}[/tex]

                               [tex]=8[/tex]

hence,

The ticket price will be:

= [tex]4+k[/tex]

= [tex]4+8[/tex]

= [tex]12[/tex] ($)

900 tickets were sold. Adult tickets cost $10, children's cost $4, and a total of $7500 was

collected. How many tickets of each kind were sold?​

Answers

Answer:

650 adult tickets and 250 children's tickets.

Step-by-step explanation:

A scale model of a building has a scale of 3 : 79.
The height of the real building is 24 m.
Find the height of the scale model.
Give your answer in cm to 2 dp.

Answers

Answer:

The height of the scale model is of 91.14 cm.

Step-by-step explanation:

Scale problems are solved by proportions, using rule of three.

A scale model of a building has a scale of 3 : 79.

This means that 3m on the drawing represent 79m of real height.

The height of the real building is 24 m.

3m - 79m

xm - 24m

Applying cross multiplication

[tex]79x = 72[/tex]

[tex]x = \frac{72}{79}[/tex]

[tex]x = 0.9114[/tex]

In centimeters:

Multiplying by 100:

0.9114*100 = 91.14 cm.

9,16,25,36 arithmetic or geometric?
24,18,12,arithmetic or geometric?
500,100,20 ,4 arithmetic or geometric?

Answers

Answer:

9,16,25,36 neither, 24,18,12 arithmetic, 500,100,20 ,4 geometric

Step-by-step explanation:

1. has no common number

2. goes down by 6 each time

3. is divided by 5 each time

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability that at least 5 people attend the meeting given that at least 2 attend

Answers

Answer:

The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...

What is the probability that at least 5 people attend the meeting given that at least 2 attend?

The explanation of the answer is now provided as follows:

Given:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...                    (1)

Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.

Substituting x = 2 into equation (1), we have:

P(X = 2) = 1 / 2^(2 + 1)

P(X = 2) = 1 / 2^3

P(X = 2) = 1 / 8

P(X = 2) = 0.1250, or 12.50%

Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

8+(10-7) writen in words​

Answers

Answer: 11

Step-by-step explanation:

8 + (10 - 7)

first you would solve the parenthesis, to support the order of operations.

8 + ( 3)

ten minus seven is three, so we replace the "10-7" in the parenthesis with "3"

next you add the eight and the three together

8 + 3 = 11

the total is eleven :)

Hey there!

Do PEMDAS to solve

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

8 + (10 - 7)

10 - 7 = 3

8 + 3

= 11

Or

8 + (10 - 7 )

8 + 10 - 7

8 + 10 = 18

18 - 7

= 11

Answer: 11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

if a line with an angle of inclination 120⁰ and passes trough (√3,1),then what is the equation of a line​

Answers

Answer:

The equation of a line, having inclination 120° with positive direction of x-axis, .of x-axis, which is at a distance of 3 units from the origin is​. 1. See answer ... where α is the angle with the positive X-axis, made by the perpendicular line drawn Now, from equation  the equation of the straight line will be.

Step-by-step explanation:

giải phương trình vi phân: y" - 5y' + 6y = 6x + 7

Answers

Неоднородное ДУ второго порядка. Детали в аттаче.

i need help pls it’s timedd!!!!

Answers

Answer:

5.

Step-by-step explanation:

If you were to rotate the triangle, you can apply Pythagoras Theorem.

Therefore,

a^2 = 12^2 - 13^2 (Note: a^2 = a squared)

a^2 = 144 - 169

a^2 = -25.

a     = 5.

Not sure why its negative though im pretty sure its the right answer.

in BCD triangle :

DC^2 = BC^2 + BD^2

13^2 = 12^2 + BD^2

169 = 144 + BD^2

BD^2 = 169 - 144

BD^2 = 25

BD = 5

_______________________

In the other hand we have :

BD^2 = AB × BC

5^2 = AB × 12

AB = 25/12

________________________

Also we have :

AD^2 = AB × AC

AD^2 = 25/12 × ( 25/12 + 12 )

AD^2 = 25/12 × ( 25/12 + 144/12 )

AD^2 = 25/12 × 169/12

AD^2 = 25 × 169 / 12 × 12

AD^2 = 5 × 5 × 13 × 13 / 12 × 12

AD = 5 × 13 / 12

AD = 65 / 12

AD = 5.42

Thus the correct answer is option C

I don’t get this at all

Answers

Answer:

0.21

Step-by-step explanation:

There's 21 kids with a cell phone and no tablet

so 21/100 = 0.21

Decide if the following probability is classical, empirical, or subjective.

You guess that there is a 30% chance that you will be assigned homework in your English class on Tuesday

Answers

Answer:

Subjective.

Step-by-step explanation:

Classical probability:

A classical probability is a probability based on a formal reasoning, for example, probability of getting heads/tails on a coin toss.

Empirical probability:

An empirical probability is the same as experimental probability, that is, suppose 7 out of 10 people you meet are Buffalo Bills fans, so the next person has a 7/10 = 0.7 = 70% probability of being a Buffalo Bills fan.

Subjective probability:

Probability of somthing happening based on "intuition", that is, based on the person's own experience. In this exercise, we have an example of subjective probability.

Find the length of side x

Answers

no no no no no no no no no no

Answer:

Step-by-step explanation:

tan(30) = x/1

sqrt(3) / 3 = x/1

x= sqrt(3) / 2

I need help please I dont understand

Answers

It’s like this. Mark as brainliest!! Much appreciated

Find x. Round to the nearest tenth: 29° 500ft
X=[?]ft

Answers

9514 1404 393

Answer:

  437.3 ft

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(29°) = x/(500 ft)

  x = (500 ft)cos(29°)

  x ≈ 437.3 ft

There are 750 identical plastic chips numbered 1 through 750 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 627

Answers

Answer:

0.8358 = 83.58% probability of reaching into the box and randomly drawing a chip number that is smaller than 627

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

There are 750 identical plastic chips numbered 1 through 750 in a box

This means that [tex]a = 1, b = 750[/tex]

What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 627?

[tex]P(X < x) = \frac{627 - 1}{750 - 1} = 0.8358[/tex]

0.8358 = 83.58% probability of reaching into the box and randomly drawing a chip number that is smaller than 627

Helpppp plsss I’m trying to get my grade up

Answers

Answer:   1.75 square feet

This converts to the improper fraction 7/4

======================================================

Work Shown:

3/4 = 0.75

area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft

area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft

total area = 0.75+1 = 1.75 sq ft

This converts to the improper fraction 7/4 because

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 4/4 + 3/4

1.75 = (4+3)/4

1.75 = 7/4

the value of 456×6+35×2 is ​

Answers

Answer:

2806

Step-by-step explanation:

→ First complete the multiplication

456 × 6 = 2736 and 35 × 2 = 70

→ Add the totals

2736 + 70 = 2806

Answer:2806

Step-by-step explanation:

^﹏^

How to solve and answer

Answers

Answer:

The corrects answers are: C, D, E, F

Step-by-step explanation:

HELPPPPPPPPPPPPPPPP!!!


Which of the following is the product of the complex numbers below?
(6+ i)(2+91)


A. 3+56i
B. 3+52i
C. 21+56i
D. 21+52i

Answers

Answer:

It's answer is 93i +558....

What does X equal ????

Answers

Rearrange the formula to get cos(A) = (b^2 + c^2 - a^2) / (2bc)
cos(X) = (20^2 + 18^2 - 22^2) / (2 x 20 x 18) = 0.33333...
X = cos^-1(0.3333...) = 70.5 degrees (1 dp)

Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 4, vertex B is on ordered pair 7 and 2, and the vertex C is on ordered pair 1 and 2. (5 points) It is one-half the area of a square of side length 6 units. It is twice the area of a square of side length 6 units. It is one-half the area of a rectangle with sides 6 units × 2 units. It is twice the area of a rectangle with sides 6 units × width 2 units.

Answers

Answer:

It is one-half the area of a rectangle with sides 6 units × 2 units.

Step-by-step explanation:

Area of the triangke ABC = 6

A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the average number of runs scored by a Little League team in a game is 5.7. He chooses five games at random and finds the mean number of runs scored is 7.4 with a sample standard deviation of 2.88.

Required:
Is it likely that his team's scores is different than the national average?

Answers

Answer:

That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average

Step-by-step explanation:

The National average number of runs scored by a LL team is

μ   =  5.7

Sample Information:

size sample   n = 5

sample average   x  =  7.4

sample standard deviation    s  =  2.88

Is required to investigate if  that sample average is statistically different from the National average

We will do a test with 95 % of confidence Interval that means

significance level α = 5 %   or α = 0.05.

The sample size is 5 then even when we assume normal distribution the sample size indicates that we need to use t-student distribution. Furthermore, as the question is if the sample average is different from the national the test will be a two-tail test.

Then  α = 0.05    α/2  =  0.025

df  =  n  -  1     df  =  5  -  1     df  =  4

Then from t-student table we get  t(c)  =  2.132

Hypothesis test:

Null Hypothesis                                  H₀              x  =  μ

Alternative Hypothesis                      Hₐ              x  ≠  μ

To calculate t (s)

t(s)  = ( x  -   μ ) / s/√n

t(s)  = ( 7.4  -  5.7  )* 2.24 / 2.88

t(s)  =  1.7* 2.24 / 2.88

t(s)  = 1.32

Comparing  t(s)  and  t(c)

1.32 < 2.132

That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average

please help with the steps thx

Answers

Answer:

amount financed: 47800

monthly payment: 454.97

FC: 6796.40

558390.76

198390.76

Step-by-step explanation:

1.)

the amount financed is the cost- amount paid today

61800-14000=47800

effective rate: .027/12=

assuming it's an annuity immediate...

x=payment

[tex]47800=x\frac{1-(1+.00225)^{-(10*12)}}{.00225}\\47800=105.0617517x\\x=454.97[/tex]

going to assume that the last part is asking for the interest

to find the interest do financed amount-total paid

454.97*10*12-47800=6796.4

2.)

Find the effective rate

.056/4=.014

assuming annuity immediate

[tex]6000\frac{(1+.014)^{15*4}-1}{.014}=558390.7595[/tex]

interest earned:

558390.7595-6000*60=198390.76

Julie borrowed 3500 for 3years at a seven and a half simple interest rate how much interest rate is that​

Answers

Answer:

787.50

Step-by-step explanation:

interest=3500*7.5*3/100

interest=35*7.5*3

interest=787.50

I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points

Answers

Answer:

Listen to the explanation

Step-by-step explanation:

Each dash on the line represents .10 so for the first one where it says .28 it should be about-

|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|

0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0

Do you get what I mean? Haha

Answer:

Assuming that the line goes from zero to one.

PLEASE HELP
If the absolute value represents the distance from zero, can we have a negative distance?

Answers

Answer:

No, you cannot have a negative distance.

Step-by-step explanation:

No, you cannot have a negative distance.

Let's say you were asked for the absolute value of -4. How many units is -4 away from 0? The answer would be 4. There is no negative distance from 0.

Hope this helps, please mark brainliest! :)

PLS HELP! WILL GIVE BRAINLIEST IF CORRECT!

What is the value of P for the following triangular prism?



36 cm

48.5 cm

48 cm

36.5 cm

Answers

Answer:

36 cm

Step-by-step explanation:

if p is perimeter then 10+13+13=36 is the correct answer

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