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

Is x = 5 a solution to the equation 3(x + 1) = 3x + 3?

Answers

Answer: Yes

Step-by-step explanation:

3(5+1)= 3(5)+3

3(6)=15+3

18=18

YES it works

3(5+1)=3x +3

hope it helps

what is 2(3x-5) + 3(2x+3)​

Answers

Answer:

12x - 1

Step-by-step explanation:

Distribute the 2 and 3:

2(3x - 5) + 3(2x + 3)​

(6x - 10) + (6x + 9)

Add like terms:

12x - 1

So, the answer is 12x - 1

work shown
2(3x-5)+3(2x+3)
6x-10+6x+9
12x-1

Help please I will mark you the Brainiest

Answers

Answer:

-1 and 4/5

Step-by-step explanation:

Your welcome


Ayuda porfavor urgenteee
15 puntos!!!

Answers

Answer:

x=11

z=16

Step-by-step explanation:

5x+3z=70

3x+4z=64

2x-z=6

z=2x-6

5x+3(2x-6)=70

11x=88

x=11

z=2(11)-6

  =16

allel...
10. If the midpoints of the sides of AEFG shown below were connected with line segments, what would be the
perimeter of the resulting triangle? Explain how you arrived at your answer.
allel...
E
arall...
of a T...
170 mm
83 mm
110 mm

Answers

Answer:

Perimeter of triangle PQR = 181.5 mm

Step-by-step explanation:

Midsegment theorem states that,

"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"

From the figure attached,

PQ = [tex]\frac{1}{2}(EF)[/tex]

     = [tex]\frac{83}{2}[/tex]

     = 41.5 mm

PR = [tex]\frac{1}{2}(GF)[/tex]

     = [tex]\frac{110}{2}[/tex]

     = 55 mm

QR = [tex]\frac{1}{2}(GE)[/tex]

      = [tex]\frac{170}{2}[/tex]

      = 85 mm

Perimeter of triangle PQR = PQ + QR + PR

                                           = 41.5 + 55 + 85

                                           = 181.5 mm  

Ayana and Victor have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Ayana earns a base wage of $12 per hour, as well as $1 for every subscription that she sells. Victor gets $4 per subscription sold, in addition to a base wage of $6 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How many subscriptions would that be? How much would each one earn?

Answers

Answer:

2

$14

Step-by-step explanation:

Let x = number of subscriptions sold

Total income of Ayana per hour = $12 + $1x

Total income of Victor per hour = $6 + $4x

To find the number of subscriptions that would equate their incomes :

$12 + $1x = $6 + $4x

Collect like terms

$12 - $6 = $4x  - $1x

$6 = $3x

Solve for x

x = $2

The subscription that would equate their income would be $2.

The income each would earn = $12 + $1(2) = $14

heyy could you help me out with this problem???​

Answers

Answer:

not sure

Step-by-step explanation:

sorry :/

WILL GIVE BRAINLIEST
I dont know how to do this. Could someone help me with the answer and the steps?

Answers

Step-by-step explanation:

(23)2-5=6

23 3 =6

so it goanna be 2raise to power 3x equal6

Answer:

[tex]Note:\\If~x^{a}=b,~then~x=log_a(b)\\We have,\\23^{2x-5}=6\\or, 2x-5 = log_{23}6\\or, 2x = log_{23}6 +5\\\\or, x =0.5({log_{23}6+5} )[/tex]

Mark me as brainlist

11.) A radioactive material has a half-life of 1 day. The material decays
(?)
5008
according to the equation M = 1000 Mass Mis measured in
grams and time t is measured in days.
a) What is the mass of the sample after 1 day? 2 days? 10 days?
b) Use a calculator with an exponent key to compute the mass of the
sample after 1 year. Explain what the answer means.

Answers

Answer:

UHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

Step-by-step explanation:

thats what u did to me before it deleted

A store is having a sale on hats . The sale is buy one hat , get one 50% off . The original price of one is 24.98 . Alex bought several hats . And the total cost is $187.34

Answers

50% of 24.98 = $12.49

24.98 + 12.49 = 37.47

187.34 / 37.47 = 5

5 x 2 hats = 10 hats

He bought 10 hats.

Each figure is composed of large squares and small squares. The side length of the
large square is x. Write an expression for the area of the shaded part of each figure.
Figure A
Figure B

** Please help!!

Answers

Hey, did you get the expressions for both figure A and B? If so could you pls write them down below.

9514 1404 393

Answer:

  A.  x² -4

  B.  2x² +8

Step-by-step explanation:

The area of the larger square is the square of its side length, so is x².

A. The area of each of the smaller squares is 1² = 1. There are 4 of them, so their total area is 4×1 = 4. The shaded area is that much less than the area of the larger square, so is ...

  x² - 4

__

B. The smaller squares have side length 2, so their area is 2² = 4. There are two of them, so the total area of the smaller squares is 2×4 = 8.

The two large squares have a total area of ...

  2 · x² = 2x²

So, the total shaded area is ...

  2x² + 8

I'll award brainliest!

Juan downloaded 30 songs from I-Tunes. The following is a table of Juan's songs that
show the types of songs and number of songs that he bought.

Answers

a) 6:15 = 2:5
b) 9:30 = 3:10
c) for every 10 songs that Juan downloaded, 3 are hip hop

Answer:

a) 6:15 or 2:5 (simplified)

b) 9:30 or 3:10 (simplified)

c) For every 30 songs that Juan downloaded, 9 were hip-hop. OR For every 10 songs Juan downloaded, 3 were hip-hop.

Step-by-step explanation:

A ratio compares the relationship of different values in relation to each other.

For part a, we have to see the number of rap songs there are and the number of pop songs there are. According to the chart, there are 6 rap songs and 15 pop songs. Since the question asks for rap songs and then pop songs, the answer must be in this order. The answer would be 6:15. However, we know from multiplication and division that 3 is a multiple of both of these numbers. If both numbers are divided by 3, and therefore simplified, the answer would then be 2:5.For part b, we have to see the number of hip-hop songs there are and the number of total there are. Since the question asks for hip-hop songs and then total number of songs, the answer must be in this order. According to the chart, there are 9 hip-hop songs, but we cannot immediately find the total number of songs. To find this, we must add all of the songs together, which is 9 hip-hop+15 pop+6 rap=30 total songs. So, the answer is 9:30. 3 is a multiple of both of these values, so they can both be divided by 3 to get a simplified answer of 3:10.The sentence in the answer describes the ratio of 9:30 (or 3:10). It also describes the total number of songs compared to how many hip-hop songs Juan downloaded.

**I added the non-simplified and simplified answers because I do not know what your teacher is looking for. You should use either of the answers depending on what your teacher asks you for.

I need help and would greatly appreciate anyone who could help me ): !

Answers

Answer:

∠Q≅∠T, RS≅UV, ∠V≅∠S, VT≅SQ

Step-by-step explanation:

You can find the corresponding angles and sides by matching up the letters from both congruent triangles.

Look at this set of ordered pairs:
(9,8)
(12, 15)
(5, 7)
(4,9)
Is this relation a function?
yes
no

Answers

Answer:

Yes, the given relation is a function.

Step-by-step explanation:

As given,

(4, 9)

(5, 7)

(9, 8)

(12, 15)

x                          y

4                          9

5                          7

9                          8

12                         15

As each input has different and unique output values.

So, the given relation is a function.

what is the area of the triangle when the sides are 6 7 and X

Answers

Answer:

firgure it out yourself because no one helps me

Step-by-step explanation:

.

Tanya wants to sew her own jean jacket. She found a sewing pattern for her size and realized she
needs 4 yards of fabric. She goes to the store and finds the denim fabric she likes, which is priced
at $7.50 per yard. She also needs to buy buttons to put on the jean jacket. She finds a pack of
buttons priced at $6.99. How much will Tanya spend at the store on her fabric and buttons?

Answers

Answer:

$36.99

Step-by-step explanation:

Fabrics per yard = $7.50

Pack of buttons = $6.99

Fabrics needed = 4 yards

How much will Tanya spend at the store on her fabric and buttons?

Total cost of fabric and button = cost of 4 yards of fabric + pack of buttons

= 4(7.50) + 6.99

= 30 + 6.99

= 36.99

Total cost of fabric and button = $36.99

Indicate below whether the equation in the box is true or false.4/8 = to 6/10​

Answers

Answer:

Not equal. So, false.

Step-by-step explanation:

Just cross multiply

40 and 48

so no, they're are not equal.

Answer:

False

Step-by-step explanation:

En un día de febrero, una ciudad de Estados Unidos registró una temperatura mínima de 9° bajo cero y una temperatura máxima de 13°C. ¿De cuántos grados fue el intervalo de temperaturas registradas?

Answers

Answer:

La cantidad de grados del intervalo de temperaturas registradas en el día de febrero mencionado es de:

5

Step-by-step explanation:

En estadística, cuando se utilizan intervalos como valores para identificar datos cuantitativos, como en este caso temperaturas registradas, deben tomarse todos los valores, en este caso enteros, desde el límite inferior (temperatura mínima) hasta el límite superior (temperatura máxima), por lo cual no se puede restar el valor máximo al valor mínimo, sino que debes identificar todos los valores y después contarlos. En el caso del ejercicio dado, los grados en el intervalo mencionado son:

9°C10°C11°C12°C13°C

Como puedes ver, los grados en el intervalo de temperaturas registradas serían 5.

The ple chart shows the favourite sports of a group of students,
For each statement below, decide if it is
True (A), False (B) or Impossible to say (C)
Other
Tennis
a) None of the students chose Netball
10
Football
b) More students opted for Football than Tennis,
Rugby
c) Hall of the students did not choose Rugby
(1)

Answers

Answer: the answer would be C

a) c
b) a
c) b

It makes sense... seems like a kindergarten problem

The value of x in the equation 161 - 6 - 26 is​

Answers

Answer:

129

161-6=155-26=129 so x is 129

Answer:

x= 129

Step-by-step explanation:

161-6-26=x

161-6= 155

155-26= 129

x=129

Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original number

Answers

Answer:

23.3 is the answer to this question

If a square has a perimeter of 36 cm what is the area of the square

Answers

Answer:

The perimeter is just the sum of all four sides of the square.

36cm = Side 1 + Side 2 + Side 3 + side 4

Because it's a square, all the sides are the same length, so we can rewrite this as:

36cm = 4*Side

Side = 36cm/4 = 9cm

So to find the area, we multiply a length side, by a width side.

In this case (a square), we have:

Step-by-step explanation:

Answer:

area is 81

squares hav 4 sides which are all equal so divide 36 by 4 to get 9

to find area you do Length*Width so 9*9=81

Step-by-step explanation:

Leola ran in a 10-kilometer race. About how many miles did she run

Answers

The answer is that Leola ran 6.2

Pleaseeee help meeeee

Answers

Answer:

x=-8

Step-by-step explanation:

1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)

so

4x+1=-31

a) 4x+1-1=-31-1

4x=-32

b) remove the coefficient by doing the opposite operation(division in our case)

x=-8

what is slop intercept from​

Answers

Answer:

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line. Watch this video to learn more about it and see some examples.

Step-by-step explanation:

True or false, The triangles shown below must be congruent.​

Answers

True because both of them use the same numbers

Here is the sales tax on the same items in City 3.
What is the tax rate in this city? Show work on the
sketch. (Remember to round to the nearest penny.)
Sales tax percentage
Check
For the sales tax on the laundry soap, Kiran says it
should be $0.84. Lin says it should be $0.87. Do you
agree with either of them? Explain your reasoning.
I agree with Kiran
I agree with Lin
I don't agree with either of them
Explain your thinking.
cause your multiplying the numbers
Edit my response

Answers

Answer:

This needs more detail.

Step-by-step explanation:

Martha is a dog with two puppies, Tucker and Sunny.
Martha weighs 28.5 lb. Martha's weight is 2.5 times
the weight of Tucker. Tucker weighs 1.5 lb more than
Sunny. How much is sunny weight

Answers

Answer:

9.9 lb

Step-by-step explanation:

Tucker weight =28.5/2.5=11.4

sunny weight=11.4-1.5=9.9

HURRY PLEASE!! find the lcm of 3x^2-6x-24 and 9x^2-36

Answers

Answer:

yeeeeeeeeeeee

Step-by-step explanation:

Answer:

9(x - 2)(x - 4)(x + 2)

Step-by-step explanation:

3x^2 - 6x - 24

= 3(x^2 - 2x - 8)

= 3(x - 4)(x + 2)

9x^2 - 36

= 9(x^2 - 4)

= 9(x - 2)(x+ 2)

So the LCM is:

9(x - 2)(x - 4)(x + 2)

In engineering, equilateral triangles can support the most weight and so are commonly found in the design of bridges and buildings. Equilateral triangles are triangles with three congruent sides and three congruent angles. What are the measures of the angles of an equilateral triangle?
please help meeeee​

Answers

Answer:

60 degrees each

Step-by-step explanation:

180/3=60

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