Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0

Answers

Answer 1

Answer:

the answer would be x=3,1

Answer 2

Answer:

After completing the square, we can say:

(x - 2)² = 1

If we solve for x, this tells us that x has a value of both 1 and 3.

Step-by-step explanation:

Given:

x² - 4x + 3 = 0

We can complete the square by adding 1 to both sides:

x² - 4x + 4 = 1

(x - 2)² = 1

We can then solve for x by saying:

(x - 2)² = 1

x - 2 = √1

x = 2 ± 1

x = 1, 3


Related Questions

The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total cost of the dinner?

Answers

Answer:

$30.64 +6% tax and 18% tip

Step-by-step explanation:

Hope it helps

Which combinations hold the same amount of liquid as a 14-cup jug?

Answers

Answer:

b

Step-by-step explanation:

hbjbmnbbbbbbbbbbbbbbbbbbbbbbbbbbbbhbbbbbbbbbbbbbbb

The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.

Answers

Answer:

f(50) = 109.44943 feet

Step-by-step explanation:

Modeling

The model of a situation where the skid distance f is measured against the car speed x can be expressed as:

[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]

Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:

[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]

[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]

f(50) = 109.44943 feet

Robin has read 3/4
of a book. Mark said he had read 1/2
as much as Robin. What fraction of the book has Mark ready?

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

3/4 × 1/2 = 3/8

I hope this helps!

A walkway goes through the middle of a square playground from one corner to the opposite corner. If the walkway is 20 meters long, how long are each of the sides of the playground? Round your answer to the nearest hundredths.

Need Help!

Answers

I think you would use the Pythagorean Theorem to solve this, as a square cut across diagonally creates two isocele triangles. Since the longest side is 20 m, this value would be imputed into c^2.

a^2 + b^2 = c^2
a^2 + a^2 = 20^2
2a^2 = 400
2a^2/2 = 400/2
a^2 = 200
a = 14.14

Thus, each sides of the playground are 14.14 meters long.

Problem 4: As a salesman you are paid $250 per week plus $70 per sale. This week you want you
pay to be at least $1,200. How many sales must you make to reach your goal?
Answer
12
13
14
15
16

Answers

Answer:

14 sales

Step-by-step explanation:

1,200-250=950

70×14=970

We first need to subtract our normal pay out of the expectation.

1200-250=950 dollars

These 950 dollars have to be made from sales, and if each sale gives you 70 dollars, we just need to do simple division.

950/70=about 13.57

This meant that if we get 13 sales, we are not quite there at the goal yet, so we need to round up. Getting 14 as our answer.

Kevin from Pullman was offered a deal to write story problems for ST2 publishing Company. For every 5 he wrote he was paid $12.00. How much did Kevin get paid per problem?

Answers

Answer: $2.40

Step-by-step explanation:

If Kevin gets 12 dollars for every 5 problems, we will need to divide 12 by 5 to find the unit rate; how much Kevin gets for each problem.

12 ÷ 5 = 2.4, and in dollars it is equal to $2.40. Because of this, Kevin is paid $2.40 for each problem he makes for the ST2 publishing Company.

Miss Hillard is purchasing candy hearts to distribute to 28 students in her math class and Valentine's Day issue would like each students get a minimum of 15 candy hearts how many will she need to purchase​

Answers

Answer:

She needs to buy 420 candy hearts.

Step-by-step explanation:

15*28 = 420

15 per student, and there is 28 students

The number of candy hearts that she needs to purchase will be 420.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Miss Hillard is buying treats hearts to disperse to 28 understudies in her number-related class and Valentine's Day issue would like every understudy to get at least 15 sweets hearts.

Then the number of candy hearts that she needs to purchase will be given as,

⇒ 15 x 28

⇒ 420

The number of candy hearts that she needs to purchase will be 420.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches a width of 3 inches and a height of 3 1/2

Answers

Answer:

94.5

Step-by-step explanation:

3x3.5x9=94.5

Hope this helps :)

Also please mark as branliest

In this linear equation what is the dependent variable y=2x+4

Answers

Answer: y

Step-by-step explanation:

The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.

what is the appoximate distance between points d and e round your answer to the nearest hundreth

Answers

The distance between the 2 points is approximately 8.25
What she or he said have a good day

I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x​

Answers

Answer:

Step-by-step explanation:

(3x + 4) + (5x - 6) add or subtract horizontally

Answers

Answer:

[tex](3x+4)(5x−6)\\ 3x+4+5x−6\\\\3x+4+5x−6 \\3x−2+5x\\\\3x−2+5x\\8x−2\\\\8x−2[/tex]

Step-by-step explanation: all the a's are minuses  

A motorcar is running at the rate of 66 km per hour. Each
of its wheels makes 500 revolutions per minute. Find the
radius of the wheel.
.(Ans: 35 cm)

Answers

Answer:

Given:

The radius of a wheel =r=35 cm=0.35 cm.

The speed it must keep =s=66 km/h=

60

66×1000

m/min=1100 m/min

To find out:

The number of revolution =n, it makes per minute to maintain that speed.

Solution:

The circumference =C of the wheel =2πr=2×

7

22

×0.35 m=2.2 m=C

The distance the wheel covers in 1 min=d=1100 m.

Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.

∴ Here the number of revolution =n=

C

d

=

2.2

1100

=500.

Simplify the expression:
-10(32-6)
—————
3

Answers

Answer: -260

Step-by-step explanation:

Answer:

-260

Step-by-step explanation:

First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.

So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.

So, -320 + 60 = -260

In a fish tank there are 10 fish. 5 are goldfish, 1 is an angelfish, and 4 are guppies. If a fish is selected at random, find the probability of getting a guppy or an angelfish.

Answers

Answer:

40% guppy 10% angel

Step-by-step explanation:

ayudaaa es para hoy ;-;

Answers

múltiplos de 3: 6-9-12-15-18-21-24. etc

múltiplos de 3 que también son de 6:12-18-24.etc

múltiplos de 6: 12-18-24-30-36-42-48-54-. etc

múltiplos de 10:20-30-40-50-60-70-80.etc

múltiplos de 5:10-15-20-25-30-35-40-45-50-55.etc

múltiplos de 5 que tambien son de 10:20-30-40-50. etc

what is the factored form of -40+2×^2-2x​

Answers

Answer:

2(x - 5)(x + 4)

Step-by-step explanation:

Given

- 40 + 2x² - 2x , that is

2x² - 2x - 40 ← factor out 2 from each term

= 2(x² - x - 20) ← factorise the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4 , since

- 5 × 4 = - 20 and - 5 + 4 = - 1 , then

x² - x - 20 = (x - 5)(x + 4) and

2x² - 2x - 40 = 2(x - 5)(x + 4) ← in factored form

Help as soon as possible, please.

Answers

Answer:

8 units

Step-by-step explanation:

Let the center of the circle be point O.

Then

EC + EO = 13EC = 13 - EO

The length of EO is the side of triangle OEB.

Use Pythagorean theorem:

EO² + EB² = OB²EO² + 12² = 13²EO² = 169 - 144EO² = 25EO = √25EO = 5

Find the value of  EC:

EC = 13 - 5 = 8

Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.

Answers

Answer:

I think its OB but I'm not sure

Step-by-step explanation:

Plants must break down the sugar in cells to obtain energy from the food that is produced. What is this
process called?
Respiration
Transpiration
Restoration
O Photosynthesis
Help

Answers

Answer:

Restoration I believe

I'm so sorry if I'm wrong

Step-by-step explanation:

Answer:

photosynthesis

Step-by-step explanation:

9 hundred = how many 10's

Answers

Answer:

90

Step-by-step explanation:

900 is 90 tens

Check

900/10 = 90

or....

90 * 10 = 900

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Name the property of addition modeled here. If a = b, then a + c = b + c. A. Addition Property of Equality B. Commutative Property of Addition C. Associative Property of Addition D. None of the above I think it is either B or C

Answers

Answer: I'm pretty sure it's B

Step-by-step explanation:

Answer:

Do you still need an answer? If so, B!

Step-by-step explanation:

Just by looking at the equation you can see the addition symbols. Since there are also letters, you can use that information to help you solve the answer using the key word: Commutative.

For Example: If Lily needs $40 and she already has $30 how many more dollars does she need?

Answer: m-$30=$40 m=$10

Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?

Answers

Answer:

4/24

Step-by-step explanation:

Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram,
A
В
Assemble the proof by dragging tiles to
the Statements and Reasons columns

Answers

Answer:Hope this helps!

Step-by-step explanation:

Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)​

Answers

Answer:

We should invest in 7.74% compounded daily as it yields a higher return.

The total investment after 10 years is $10,841.22.

Step-by-step explanation:

a.) at 7.74% compounded daily

[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]

I assumed there are 365 days in a year.

b.) at 7.8% compounded quarterly

[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]

What will be the cost of the paving if cement costs $26.50 per square metre?

Answers

Answer: $2203.74

Step-by-step explanation:

please explain i really don’t understand

Answers

Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

please help me on this will give you brainliest!!

Answers

Answer:

0.926

Step-by-step explanation:

Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!

What is the function rule for this table? 10 POINTS! BRAINLIEST to correct answer!​

Answers

The function tule for the table is
y = 2x

If you line the table vertically, you can see the x value is +1 because how does 0 go to 1, you add one to it.

With the y variable, you can view its being multiplied by 2 since 5x2 = 10 , 10x2 = 20 and so on.

Therefore the function rule is y=2x
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