rewrite the equation by completing the square x^2-2x+1=0

Answers

Answer 1

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#


Related Questions

A local grocery store makes a 6-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins cost $3 per pound, the sunflower seeds cost $1 per pound, and the chocolate-covered peanuts cost $1.50 per pound. The mixture calls for twice as many raisins as sunflower seeds. The total cost of the mixture is $11.50. Write a system of equations for the situation and solve for the amount of each item in the trail mix.

Answers

Answer:

The mass of sunflower seeds in the mixture is 1-pound

The mass of chocolate-covered peanuts in the mixture is 3-pounds

The mass of raisins in the mixture is 2-pounds

Step-by-step explanation:

The given parameters are;

The cost per pound of raisins = $3

The cost per pound of sunflower seeds = $1

The cost per pound of chocolate-covered peanuts = $1.50

The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture

The total cost of the mixture = $11.50

The mass of the mixture = 6-pounds

Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;

The mass of raisins in the mixture = 2 × x

The system of equation are;

2·x + x + y = 6...(1)

2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)

Simplifying the above two equations give;

For equation (1), we have;

3·x + y = 6...(1)

For equation (2), we have;

7·x + 1.5·y = 11.50...(2)

Making y the subject of both formulas, gives;

For equation (1), we have;

y = 6 - 3·x

For equation (2), we have;

y = 11.50/1.5 - 7/1.5·x

Equating both equations of y, to find the common solution as follows;

6 - 3·x = 11.50/1.5 - 7/1.5·x

7/1.5·x  - 3·x = 11.50/1.5 - 6

14/3·x  - 3·x = 23/3 - 6

5/3·x = 5/3

x = 3/5 × 5/3 = 1

x = 1

The mass of sunflower seeds in the mixture = x = 1-pound

y = 6 - 3·x =  6 - 3 × 1 = 3

y = 3

-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds

The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.

3x + 7 = - 20 solve this equation

Answers

Answer:

3x + 7 = -20

3x = -20-7

3x = -27

3x ÷ 3 = x

- 27 ÷ 3 = -9

x= -9

No estudo da circunferência é muito importante diferenciar diâmetro e raio, muito erros são cometidos pela troca desses conceitos e consequentemente a troca de seus valores. A medida do comprimento de uma circunferência é determinada pela fórmula C = 2 π. R , ou seja comprimento da circunferência é igual ao dobro do valor do π multiplicado pelo valor do raio dessa circunferência. Calcule qual a medida em cm de uma circunferência: a) cujo diâmetro mede 10 cm. b) cujo raio mede 12 cm. c) cujo diâmetro mede 2 cm. d) cujo raio mede 5 cm.

Answers

Explicação passo a passo:

A circunferência de um círculo é expressa como mostrado;

C = 2πR

R é o raio

Em termos de diâmetro;

C = πD

D é o diâmetro

a) Se o diâmetro for 10cm

Circunferência C = π (10)

C = 10 (3,14)

C = 31,4cm

b) Se o raio for 12cm

C = 2πR

C = 2π (12)

C = 24π

C = 24 (3,14)

C = 74,36cm

c) Se o diâmetro for 2cm

Circunferência C = π (2)

C = 2 (3,14)

C = 6,28cm

d) Se o raio for 5cm

C = 2πR

C = 2π (5)

C = 10π

C = 10 (3,14)

C = 31,4cm

I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)

Answers

Answer:

x = y

Step-by-step explanation:

Given

2x - y = y ( add y to both sides )

2x = 2y ( divide both sides by 2 )

x = y

Answer: x=y

Explanation
add y to both sides=2x-y+y=y+y
2x=2y
Divide both sides by 2
2x/2=2y/2
Therefore x=y

Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?

Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000


$200.00
$260.00
$2,000.00
$2,600.00

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

 D.) $2,600.00

Step-by-step explanation:

Richard is riding in a hot air balloon. The hot air balloon rises 200 feet in 50


seconds.


If the hot air balloon rises at the same rate each second, what is the hot air balloon’s rate per second?



200

feet per second



4

feet per second

4 feet per second

−4

feet per second

negative 4 feet per second

−200

feet per second

Answers

Answer:

4 ft per second

Step-by-step explanation:

We are given that it takes 50 seconds to go 200 feet

in order to find the ft/second, we divide by 50

50/50=1

200/50=4

so 4 ft/ 1 second

A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?

Answers

Answer:

mwe.n pa konen men tenyen ooooo

please help. i would rly appreciate it. :/

Answers

No, they’re not parallel they’re perpendicular if you were to graph them this is what you’d get

Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7

Answers

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D

15 mm 8 mm What is the length of the hypotenuse? c= millimeters?​

Answers

Answer:

C= 17mm

Step-by-step explanation:

is this correct? ILL MARK YOU BRAINIEST

Answers

Answer:

yes

Step-by-step explanation:

This is correct.

Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.

[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]

[tex]3.0*10^{-5}[/tex]

So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.

Constant of proportionality characteristics what are some?

Answers

Answer: The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?

Answers

Answer:

1.8

Step-by-step explanation:

Will give brainliest.

Answers

Y=2x-4 is the correct slope intercept form answer.

State whether the relation is a function: {(1,2), (2,4),(-3,-6), (0,0)). Then
explain why.

Answers

Answer:

[tex]\boxed {\boxed {\sf Yes}}[/tex]

Step-by-step explanation:

According to the definition of a function, each input must have one output.

The input is x and the output is y. Basically, for every x there can only be one y.

The relation given is:

{ (1,2) , (2,4), (-3,-6), (0,0)}

To check if it's a function, make sure each x only appears once.

The x is the first number in a point.

We see that each x (1,2,-3,0) is only listed once, so this must be a function.

Another way to check is by graphing the points and using the Vertical Line Test.

If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.

The points pass the vertical line test, so this is a function.

Fifth-grade students plant a class garden. They plant 7 1/6 rows of tomatoes and 3 1/2 rows of carrots. How many fewer rows of carrots than rows of tomatoes do the students plant?

Answers

Answer:

3 2/3

Step-by-step explanation:

7 1/6 - 3 1/2= 3 2/3

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):



if the bank charges 5.3% interest each year?

Answers

Answer:

the balance of the loan be after one year is $7897.5.

Step-by-step explanation:

Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one

Answers

I believe the answers are: red/green

Hope this helps, and happy holidays:)

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

What is decreasing function?

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

Learn more about decreasing function here:

https://brainly.com/question/13391696

#SPJ2

Given p(x)=2x^3-3x-5 what is the value of p (-2)

Answers

Answer:

The value of p(x) at -2 is:

[tex]p(-2) = -15[/tex]

Step-by-step explanation:

Given polynomials is:

[tex]p(x) = 2x^3-3x-5[/tex]

We have to find p(-2)

This means that we have to find the value of the polynomial at -2. Finding value of a polynomial at a certain number is done by putting the number in the polynomial in place of variable. So putting x = -2

[tex]p(-2) = 2(-2)^3-3(-2)-5\\= 2(-8)+6-5\\= -16+1\\=-15[/tex]

Hence,

The value of p(x) at -2 is:

[tex]p(-2) = -15[/tex]

a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line ​

Answers

Answer:

y-intercept = -13

Step-by-step explanation:

So you have to put it in slope-intercept form to solve.

slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.

Y= 13 I think the answer .

Find one root of the following equation x2 + 8x - 9 = 0​

Answers

Answer: was just for a challenge

Step-by-step explanation:

no

Step-by-step explanation:

[tex]x {}^{2} + 8x - 9 = 0 \\ {x}^{2} - x + 9x - 9 = 0 \\ x(x - 1) + 9(x - 1) = 0 \\ (x + 9)(x - 1) = 0 \\ x = 1 \: and \: \: \: \: - 9[/tex]


9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.

Step-by-step explanation:

x is a t-shirt

y is a hat

9x + y = 93.00

4x + y = 43.00

(9x + y) - (4x + y) = 93.00 - 43.00

9x + y - 4x - y = 50.00

5x = 50.00

x = 50.00/5

x = 10.00 [a t-shirt costs 10.00]

4x + y = 43.00

4×10.00 + y = 43.00

40.00 + y = 43.00

y = 43.00 - 40.00

y = 3.00 [a hat costs 3.00]

The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and graph of this function.

Answers

Answer: hey want to talk

Step-by-step explanation:

I need help with angles

Answers

Answer:

<2 is 115 degrees

Step-by-step explanation:

<7 and <6 are vertical angles, <6 and <3 and the same, and <3 and <2 are vertical as well

please give brainliest

what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number

Answers

nearest is 3.2 that is with whole bumber

Tyler ate x fruit snacks, and Han ate 34 less than that. Write an expression for the number of fruit snacks Han ate.

Answers

Answer:

x = -3/4

Step-by-step explanation:

Because you have the variable x and you do not know the number of fruit snacks he ate and you need to have the same variables to properly find the answer.

About me:

Hi There! I'm so happy I get to be working at Brainly. I feel like this is a great place for everyone to communicate and have fun and learn at the same time. I'm a Teacher and I want to help those students in need. If they ever have a question. I'll be answering some of the questions here at Brainly.com but if I ever don't answer one of you guys questions that would mean I'm not available at this moment. I could show my work to you guys and it could be ANY question(s). I'm so happy to help those students in need. Talk to you lovely students soon.  Make sure to add me/request me.

God bless you,

Mr. Otero

Which is the best description for the graph below?​

Answers

Answer:

The graph decreases everywhere.

Step-by-step explanation:

you use the bottom line first, so start from the bottom and go up to the 3. it's opposite to trick you. think of it as a 9 going to a 3.

can someone please help me winner gets (Brainllest)

Answers

Answer:

For the first one wouldnt it be like:

ht=10(r)+5

Step-by-step explanation:

Write the equation of the line that goes through (-2, 0) and (4,3).


A.) y=-1/2x
B.) y=1/2x+1
C.) y=2x+1
D.) y=x+1/2

Answers

Answer:

B

Step-by-step explanation:

I just put in in the desmos graphing calculator

Evaluate the expression for f = 20.
122 - 2f

A. 82
B. 100
C. 140
D. 2400

SHOW YOUR WORK PLZSSSSS

Answers

Hey there!

IF F EQUALS 20 THEN SUBSTITUTE IT INTO THE EQUATION

[tex]\textsf{122 - 2(20)} \\ \mathsf{2(20) = 40} \\ \mathsf{122 - 40 = answer} \\ \uparrow \mathsf{solve \: above \: and \: you \: have \: your \: answer} \\ \mathsf{122 - 40 = \bf82} \\ \\ \boxed{ \mathsf{your \: answer: \boxed{ \bf 82}}} \checkmark[/tex]

Good luck on your assignment and enjoy your day!

~

[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

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