solve the quadratic equation using appropriate method. 2x² - 4x + 3 = 0​

Answers

Answer 1

Answer:

Step-by-step explanation:

(-b±√b²-4ac)/2a

(4±√-4²-4(2)(3))/2(2)

(4±√16-24)/4

(4±√8)/4

=4+√8    ║4-√8

 --------      --------

    4             4

idont know kung tama ba ito

or

(2x-3) (x-1)=0

2x-3=0  x-1=0

2x=3        x=1

x=3/2     x=1

Answer 2

We have that Solution to the quadratic equation 2x² - 4x + 3 = 0​ is

Root [tex]x= 1 + 0.707i[/tex]

Root [tex]y= 1 - 0.707i[/tex]

From the question we are told that

2x² - 4x + 3 = 0​

Generally the equation for solving Quadratic equation is  is mathematically given as

([tex](x,y)=\pm b\frac{\sqrt{}b^2-4ac}{2a}\\\\(x,y)=\pm b\frac{\sqrt{(-4)^2-4*2*3}}{2*2}[/tex]

From the Deductions

Root x= 1 + 0.707i

Root y= 1 - 0.707i

Therefore

Solution to the quadratic equation 2x² - 4x + 3 = 0​ is

Root [tex]x= 1 + 0.707i[/tex]

Root [tex]y= 1 - 0.707i[/tex]

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Related Questions

What is the quotient? 987 ÷ 6 This model describes the division calculation. Start with the greatest multiple of 100 that can be multiplied by the divisor with going over the dividend. Enter a number in each box to correctly complete the model and quotient.

Answers

Answer:

164.5

Step-by-step explanation:

987/6

164.5

The Quotient when 987 is divided by 6 is 164.

What is the Quotient?

The dividend is the number that is being divided, and the divisor is the number that is being divided. The quotient is the end result of division.

 

Since we need to find the quotient of 987 when it is divided by 6. Therefore, we can write the quotient as,

Quotient = 987 ÷ 6

               = 987 / 6

               = 164

Hence, When we divide 987 by the 6 we will get 164 as Quotient.

To know more about Quotient click on the link below:

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#SPJ2

5)
Divide:
-54-9 =
Highlight
Time
emaining
0:22:39
ide Tools
A)
-7
B)
-6
C)
6
D)
7

Answers

Answer:

c

Step-by-step explanation:

I’m confused on what the answer is. Can anyone help me?

Answers

I had calculated and answer is jackson

Answer:

B. Faith

Step-by-step explanation:

Casey paid $2.75 per gallon

55/20= 2.75

Jackson: 33.60/12 = 2.80

Faith: 30.25/11 = 2.75

Xavier: 39/15 = 2.60

Dominic: 39.20/14 = 2.80

Can anyone help? I need help, and fast!

Answers

4.5 all you need to do is length x width x height

Write 16+32 as a product of 2 factors using the GCF and distributive property.

Answers

This is the answer I think 16(1+2)

Answer:

(8(2 + 4)

Step-by-step explanation:

16 + 32 ← factor out 8 from each term

= 8(2 + 4)

What is the y-intercept of 2x+5y=−20 ?

(0,−4)

(10,4)

(0,10)

(−4,0)

Answers

Okay so for this problem you want to change it to an slope-intercept equation (y=mx+b, where m=slope and b=y intercept). so first you want to subtract 2x from both sides to isolate 5y, which gives you 5y=-2x-20. After that you want to isolate y so you’ll divide both sides by 5. This gives you y=-2/5(x) - 4. because b is the y-intercept and -4=b, then the y-intercept is -4. from here you need to know that coordinates are listed as (x, y) so the y-intercept is where x is equal to 0. So the answer is (0,-4). Does that make sense?

Answer:

(0,-4)

Step-by-step explanation:

Just took the quiz

Does anyone know how to do this?

Answers

Answer:

think red is 40 cm squared and the orange is 75 cm squared. You add for 115 cm squared

Step-by-step explanation:

Hope this helps my guy, please give me brainliest. :D

in 20 years,
Paul will be half the square
of the he was 4
years ago. How old is Paul ? ( need start of equation )

Answers

Answer:

Step-by-step explanation:

i honesty dont know if so i would help

What is the end behavior of f(x) ? plz help!

Answers

Answer:

D

Step-by-step explanation:

The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.

Let's take a look at each end.

As x approaches negative infinity:

We can see from the graph that as x approaches negative infinity (a.k.a as x goes towards the left), the graph is curving upwards.

Therefore, as x approaches negative infinity, f(x) approaches positive infinity.

Therefore, the end behavior of the left is:

[tex]\text{As } x\rightarrow -\infty, f(x)\rightarrow\infty[/tex]

As x approaches (positive) infinity:

We can see from the graph that as x approaches positive infinity (as x is moving towards the right), the graph f(x) is curving downwards.

Therefore, as x approaches positive infinity, f(x) approaches negative infinity.

Therefore, the end behavior of the left is:

[tex]\text{As } x\rightarrow\infty, f(x)\rightarrow-\infty[/tex]

So, our answer is D.

And we're done!

8. What percentage of the revenue did our costs from defects take up?​

Answers

5 percent

The answerrrr


John Paul gave the cashier $50 to pay for 8 bags of apples. The cashier gave him $17.49 in change.
What is the cost in dollars and cents for each bag of apples?

Answers

i believe the answer is $4.06

let me know if i’m wrong though

Answer:

$4.07

Step-by-step explanation:

50-17.49=32.51

32.51/8=4.0637

round that up

Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.

Which diagram best represents the story? Explain why the diagram represents it.




What part of the story does x represent?




Describe how you would find the unknown amount in the story.

Answers

Answer:

1. C

2. X=8

3. The unknown number is what the bag of apples started out with

Step-by-step explanation:

Solve x by using the trial and improvement method!
X + X^2 = 132
Thank you!
Please help - you get 30pts!!

Answers

X+X^2= 132 6^2 then just divide your answer by the whole number

Find the measure of the missing angles

Answers

[tex]y = 65[/tex]

Since it is vertically opposite to that angle, it means that it's equal to it as well.

[tex]x + 65 = 180[/tex]

[tex]x = 180 - 65[/tex]

[tex]x = 115[/tex]

X is supplementary to the angle besides it, meaning that their sum must he 180.

[tex]z = x = 115[/tex]

Vertically opposite as well. :)

Twelve different video games showing substance use were observed and the duration of times of game play​ (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct a 98% confidence interval estimate of ​o, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution.

4058, 4336, 4707, 3927, 4718, 4139
4789, 4982, 4096, 4066, 4567, 3801

The confidence interval estimate is ___

Answers

Using the t-distribution, as we have the standard deviation for the population, it is found that the confidence interval estimate is (4044.2, 4653.4).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 12 - 1 = 11 df, is t = 2.7181.

As for the other parameters, they are given by:

[tex]\overline{x} = 4348.8, s = 388.2, n = 12[/tex]

Hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 4348.8 - 2.7181\frac{388.2}{\sqrt{12}} = 4044.2[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 4348.8 + 2.7181\frac{388.2}{\sqrt{12}} = 4653.4[/tex]

The confidence interval estimate is (4044.2, 4653.4).

To learn more about the t-distribution, you can check https://brainly.com/question/16162795

Please help me!

A person saves $200 a month. If her annual income is $32,000 per year, what percent of her income is she saving?

Answers

Answer:

7.5%

Step-by-step explanation:

one year has 12 months...and in one month the person saves 200

so in one year it will be 200×12 = 2400

%save=total saves/total earning×100

= (2400/32000)×100 = 7.5%

I hope this will help!

She saves 1.6% because you divide 32,000 and 200 then divided that with 100

x^2-x-2=0 as a complete square

Answers

(X-2)(x+1)=0, this doesn’t need to be factored by completing the square, because it can just be factored normally.

A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet away from the player. The height y (in feet) of a second hockey puck is modeled by y=x(0.08−0.002x), where x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.

Answers

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

Brainliest and 50 points!!!
The circumference of a circle is 35 13/21 in.

What is the approximate diameter of the circle?

Use 22/7 for pi.

Enter your answer as a mixed number in simplest form in the box.

in.

Answers

Solution:

We know that:

[tex]\large\tex\text{Circumference of circle} = 2\pi r = 35 \dfrac{13}{21} \ \tex\text{inches}[/tex]

[tex]\large \pi = \dfrac{22}{7}[/tex]

Somehow, we need to find the radius of the circle. To do that, we need to isolate 'r'.

Isolating 'r':

To isolate "r", we need to divide both sides by 2, then divide both sides by 22/7. You can also multiply 22/7 and 2 and then divide the result both sides to isolate "r".

Step-1: Divide both sides by 2.

[tex]2\pi r = 35 \dfrac{13}{21} \ \tex\text{inches} \\\\\\\ \dfrac{2\pi r}{2} = 35 \dfrac{13}{21} \div 2 \\\\\\ \pi r = \dfrac{35 \times 21 + 13}{21} \div 2 \\\\\\\pi r = \dfrac{748}{21} \times \dfrac{1}{2} \\\\\\\ \pi r = \dfrac{374}{21}[/tex]

Step-2: Divide π both sides.

[tex]\dfrac{\pi r}{\pi} = \dfrac{374}{21} \div \pi \\\\\\ r = \dfrac{374}{21} \div \dfrac{22}{7} \\\\\\ r = \dfrac{374}{21} \times \dfrac{7}{22} \\\\\\ r = \dfrac{17}{3}[/tex]

Now, let's multiply the radius by 2 to obtain the diameter.

Obtaining the diameter:

[tex]\tex\text{Diameter = 2(Radius)} \\\\\\ \tex\text{Diameter} = 2(\dfrac{17}{3} ) \\\\\\ \boxed{\bold{Diameter = \dfrac{34}{3}}}[/tex]

[tex]\\ \rm\rightarrowtail \pi d=35\dfrac{13}{21}[/tex]

d is diameter

[tex]\\ \rm\rightarrowtail \pi d=\dfrac{748}{21}[/tex]

[tex]\\ \rm\rightarrowtail d=748/21\pi[/tex]

[tex]\\ \rm\rightarrowtail d=11.34in[/tex]

Gerald is going mini golfing at Golf-O-Rama with his family. For his family of 5 to play it costs $34. They were charged for three student tickets and two adult tickets. If a student ticket costs 3/4 as much as an adult ticket costs, how much does one student ticket cost?

Answers

Answer:

The cost of one student ticket = $6

Step-by-step explanation:

They were charged for three student tickets and two adult tickets.

Let the cost of one student ticket = a

Let the cost of one Adult ticket = b

If a student ticket costs 3/4 as much as an adult ticket costs

a = 3/4(b)

= 3b/4

For his family of 5 to play it costs $34.

Hence:

3a + 2b = $34

a = 3b/4

3(3b/4) + 2b= 34

9b/4+ 2b = 34

9b + 8b / 4 = 34

17b/4 = 34

17b = 34 × 4

b = 136/17

b = $8

The cost of one Adult ticket = $8

Note that:

a = 3b/4

a = 3(8)/4

a = 24/4

a = $6

Therefore, the cost of one student ticket = $6

100 POINTS!!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!! HELP ASAP!!!!!!!


Is (1, 5) a solution to the following system of equations? Show and explain why or why not.

[tex]f(x)=3x+2[/tex]
[tex]g(x)=[x-1]+1[/tex]

Answers

Answer:

The solution(s) to a system of equations is the point(s) of intersection.

To find the solution, equate the equations and solve for x to find the x-coordinate:

[tex]\implies f(x)=g(x)[/tex]

[tex]\implies 3x+2=[x-1]+1[/tex]

[tex]\implies 3x+2=x[/tex]

[tex]\implies 2x=-2[/tex]

[tex]\implies x=-1[/tex]

Now substitute the value of x into one of the equations to find the y-coordinate of the solution:

[tex]f(-1)=3(-1)+2=-1[/tex]

So the solution to this system of equations is (-1, -1)

Therefore, (1, 5) is NOT a solution to the system of equations.

Let's check

[tex]\\ \rm\rightarrowtail y=3x+2[/tex]

Put (1,5)

[tex]\\ \rm\rightarrowtail 5=3+2[/tex]

[tex]\\ \rm\rightarrowtail 5=5[/tex]

Verified

And

[tex]\\ \rm\rightarrowtail y=[x-1]+1[/tex]

[tex]\\ \rm\rightarrowtail 5=1-1+1[/tex]

[tex]\\ \rm\rightarrowtail 5\neq 1[/tex]

No

Which function has the greatest rate of change? A) y = 3x - 4 B) 4y - 8x = 1 C) a line passing through points (2,6) and (3,10) D) a line passing through points (5,−2) and (6, 4) ?

Answers

Answer:

I think the answer would be C. or A.

Step-by-step explanation:

can you give me all of the answers using the following directions please.

Answers

Answer:

1234567890

Step-by-step explanation:

Answer:

1234567890

Step-by-step explanation:

HURRY PLEASE!!

Solve: x= 2t + 3w for t

Solve the compound inequality: 3x+1<-5 or 2x-5>7

Answers

Answer:

[tex]\frac{x-3w}{2}[/tex] = t

x < -2

x > 6

Step-by-step explanation:

For the first equation, let's solve for t.

Subtract 3w from both sides of the equation.

x - 3w = 2t

Now divide by 2.

[tex]\frac{x-3w}{2}[/tex] = t

t is equal to [tex]\frac{x-3w}{2}[/tex].

For the first inequality, let's solve for x.

First, subtract 1 from both sides, then divide by 3. The result is:

x < -2.

For the second inequality:

First add 5 to both sides, then divide by 2. The result is:

x > 6.

The compound inequality is as follows:

Solutions can be true if x is less than -2, or greater than 6.

PLEASE help ME! There is a picture!

Answers

Answer:

A

Step-by-step explanation:

so times it by two because there's two friends. Divide the numerator by 2 which is one there's Ur answer or u could just divide it by two which is basically timing the denominator

A 1/6 this is because you have 2 friends and 1/3 a pitcher of lemonade but if you take the 1/3 and divide it by 2 it is 1/6 and there you have your answer

Hi I need some help with this

Answers

Answer:

10

Step-by-step explanation:

8. If tan + 2 = 0, find in the range 0° and 360°
[A] 129.1, 158.2
[B] 19.5, 160.5
[C] 26.7,338.2
[D] 158.2, 338.2

Answers

I thinks It’s C)
hope this helps……………………

I need to stay in math

Answers

Answer:

? = 42 degrees

Step-by-step explanation:

The 105 is part of a 180 degree angle so we do 180-105 giving us 75 degrees. and the sum of the internal angles of a triangle should equal 180. so we add 57 + 75 giving us 132. 180-132 will be 48 degrees.

Look at the photo atttatched

Answers

Correct Answers: A, D, E
The 4 - 4 in choice A cancels out
The 6 x 1/6 in choice D cancels out
The 0 x 1/3c in choice E cancels out

Answer:

A, D, E are equivalent expressions.

Step-by-step explanation:

A)

[tex]\dfrac{2}{3}a+\dfrac{5}{3}b + ( 8 + 4) - 4 =\dfrac{2}{3}a +\dfrac{5}{3}b + 12 - 4\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8\\\\[/tex]

Here, 8+4 = 12 and when we subtract 4 from 12, we get 8.

[tex]D) 6*(\dfrac{2}{3}a+\dfrac{5}{3}b+8)*\dfrac{1}{6}=6*\dfrac{1}{6}(\dfrac{2}{3}a+\dfrac{5}{3}b+8)\\\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8[/tex]

Here, 6 and 1/6 will be cancelled and we get 1.

[tex]E) \dfrac{2}{3}a+\dfrac{5}{3}b+ 0*\dfrac{1}{3}c+8=\dfrac{2}{3}a+\dfrac{5}{3}b+0+8\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b+8[/tex]

0 multiplied by any value is 0. So, term multiplied by 0 = 0

Dante is studying the growth of a particular type of plant. He is testing the effects of four growth factors: lighting, age, temperature, and humidity …. Here are the levels he's

Answers

The level from each growth factors is an illustration of combination

There are 90 ways of combining one level from each growth factors

How to determine the number of combination

From the complete question (see attachment), we have the number of levels in each growth factor is:

Lighting = 3Age = 5Temperature = 2Humidity = 3

So, the number of combination (n) is:

n = 3 * 5 * 2 * 3

n = 90

Hence, there are 90 ways of combining one level from each growth factors

Read more about combination at:

https://brainly.com/question/11732255

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