Rewrite the equation by completing the square. 4x^2-4x+1=0

Rewrite The Equation By Completing The Square. 4x^2-4x+1=0

Answers

Answer 1

Answer:

[tex][x+(-1/2)^2]=0[/tex]

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[tex]4x^2-4x+1=0[/tex][tex]4(x^2-x+1)-3=0[/tex][tex]x^2-x+1-3/4=0[/tex][tex]x^2-x+1/4=0[/tex][tex]x^2-2.x.1/2+(1/2)^2=0[/tex][tex](x-1/2^2)=0[/tex][tex]x+(-1/2)^2=0[/tex]

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hope it helps..

have a great day!!


Related Questions

25 POINTS!!!!!!
ANSWER THE QUESTION BELOW

Explain how decisions are a combination of theoretical, experimental, and subjective probability

Answers

Answer:

Decisions help know what you believe in and in what you trust. It also expirements many new things. Some decisions end up being good one and correct ones.

Find area of the composite figure..

Answers

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346  + 281

Area of the figure  = 627square inches

What are the areas of #6 and #8?

Please help me out

Answers

Answer:

Number 6 is 295 ft^2

Number 8 is 24 m^2

Answer:

[tex]unshadded \: region = {2}^{2} + {2}^{2} \\ = 4 + 4 \\ = 8 \\ totol \ \: region = 8 \times 4 = 32 \\ \\ area \: of \: shadded \: region = 32 - 8 = 24[/tex]

A number is multiplied by 4. That result is added to 12. The final number is 40.
What is the original number?

Answers

Answer:

n = 7

Step-by-step explanation:

Let the number be n.  Then 4n + 12 = 40.

Solving this for n:  4n = 28, so that n must be 7.

n = 7

Answer: 28

Step-by-step explanation:   4x7=28.     28+12=40

Biscuits are sold in in packs of 8. How many packs should you buy if you need 56 biscuits.

Answers

Answer:

7

Step-by-step explanation:

you just divide 8/56= 7

-----------------------------------------------------------------------------

Step 1:

Start by setting it up with the divisor 56 on the left side and the dividend 8 on the right side like this:

           

 56⟌8    

Step 2:

The divisor (56) goes into the first digit of the dividend (8), 0 time(s). Therefore, put 0 on top:

   0    

 56⟌8    

Step 3:

Multiply the divisor by the result in the previous step (56 x 0 = 0) and write that answer below the dividend.

      0    

 56⟌8    

   0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (8 - 0 = 8) and write the answer below.

   0    

 56⟌8    

    -0  

     8    

the answer to 8 divided by 56 calculated using Long Division is: 7

7.
Think 8 times BLANK equals 56… the answer would be 7 packs

HELP:::: Find the volume

Answers

Answer:

94,080 cm^3

Step-by-step explanation:

V= L • W • H

V= 42 • 35 • 64

V= 94,080

Hope this helps, good luck!

Step-by-step explanation:

42x35= 1,470

1,470x64= 94,080cm³

Hope it helped!

someone PLEASE HELP if you know what you're talking about!! i really need this!

The circumference is about ___ m.

Use 3.14 for π.

Answers

Answer:

The circumference is:

14.6 x 3.14 = 45.844 (m)

Step-by-step explanation:

ILL MARK BRAINLIEST 15 PTS!!! HURRY








If the function rule is to multiply by 4, and there is an output value of 8, what is the input value?
16
02
08
O 32

Answers

Answer:

02

Step-by-step explanation:

Answer:

Input Value = 02

Step-by-step explanation:

2 multiplied by 4 is 8.

You could also divide 8 by 4 to get 2 to check your work.

Jack tool out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?

Answers

Answer:

A = $32,732.58  

A = P + I where

P (principal) = $25,000.00

I (interest) = $7,732.58

Step-by-step explanation:

Given data

Time= 6 years

Principal=  $25,000

Rate= 4.5%

First, convert R as a percent to r as a decimal

r = R/100

r = 4.5/100

r = 0.045 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.045/12)^(12)(6)

A = 25,000.00(1 + 0.00375)^(72)

A = $32,732.58


a) Find the value of 2x + y when x = 4 and y = 3

b) Find the value of a^2 + b when a = -2 and b = 5

Answers

(2x4)+3 =11 -qestion A
a) 2(4) + 3 = 8 +3 = 11

b) -2^2 + 5 = 4 + 5 = 9

i think so ! sorry if i’m wrong

What is the value of (7 – 3i)(6 + i)?
A. 42 – 141
B. 45 – 11i
OC. 45 – 25i
D. 42 - 28i
100 points giving brainly

Answers

45 - 11i is the answer! And make sure you double check.

f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16

Answers

QUESTION :-

f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16

ANSWER :

By question , f is inversely proportional to square root of g. In mathematical form ,

[tex]\implies f \propto \dfrac{1}{\sqrt g}[/tex]

Let k be constant . So that ,

[tex]\implies f =k \dfrac{1}{\sqrt g}[/tex]

When f = 8 , g is 25. So that ,

[tex]\implies 8= k\dfrac{1}{\sqrt {85}}[/tex]

[tex]\implies k = 8\sqrt{25} [/tex]

Hence the value of constant is 8√25.

So that when g is 16 ,

[tex]\implies f = 8\sqrt{25} \times 1/ \sqrt{16}\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 } [/tex]

Hence the Value of f is 10 .

If you flew 8000 miles in 20 hours what was your unit rate

Answers

Answer :

Proper format: miles/hour
So divide amount of miles by the hours.

8000/20 = 400 miles/hour

Answer:

400 miles per hour

Step-by-step explanation:

8000 miles         ÷  20   =        400   Miles

20 hours            ÷  20     =         1     hour

ASAP
-WILL MARK BRIANIST

Answers

its A, C, and E

Good Luck

Answer:

I got A and C

Step-by-step explanation:

The variable in answer choice A would be when it says "An elephant eats 5 tons of food every day". In C the the number of min is reverse multiplies by the number of tests.

please helppp!!
For the equation y = 3x – 6 Complete the table for the x values given.

Answers

Answer:

Step-by-step explanation:

y = 3x -6

x = -2, y = -12

x = -1, y = -9

x = 0, y = -6

x = 1, y = -3

x = 2, y = 0

x= 3, y = 3

x    -2       -1        0        1          2         3

y    -12     -9       -6       -3         0         3

Helpppppppppppppppppppp

Answers

Answer:

10 games for $25

Step-by-step explanation:

level up: y = 1.5x + 10

infinity arcade: y = 2x +5

x = # of games

1.5 (10) + 10 = 2 (10) + 5

15 + 10 = 20 + 5

25 = 25

What is a formula for the nth term of the given sequence? 300, 180, 108...

Answers

Answer:

Step-by-step explanation:

The common ratio of the terms is 0.6 (180/300=6/10;108/180=6/10). This is a geometric sequence .

nth term=500(0.6)^n-1

Help..? Pleaseee , it has to do with the Pythagorean Theorem. But I have no idea how to do it

Answers

Pythagorean Theorem is

a ²+ b ² = c ²

a and b are the shorter sides, while c is the hypotenuse, or longest side. Let’s say the side we are looking for is “b”.

Let’s first rearrange the equation, then sub in.

a ²+ b ² = c ²
b ² = c ²- a ²
b = √ (c ²- a ²)
b = √(17 ²- 15 ²)
b = √(289-225)
b = √ 64
b = 8

Adam wants to save as much money as he can in one month. He started with -$2 in his bank account at the beginning of the month and he put $3 each day into the savings account.

Answers

So what is the question shawty

This equation shows how the cost of renting a moving van depends on how many hours it is rented for. c = 5h; The variable h represents the number of hours the moving van is rented for, and the variable c represents the cost in dollars. If a moving van is rented for 3 hours, what is the cost?

need help ^_^​

Answers

Answer:

3/5 c

Step-by-step explanation:

_________________

The volume of a gas held at constant temperature varies inversely with the pressure of the gas. If the volume of the gas is 1200 cubic centimeters then the pressure is 200 millimeters of mercury, what is the volume when the pressure is 800 ml?

Answers

Answer:

300

Step-by-step explanation:

The volume of the gas varies inversely as the pressure

V= k/p

K= VP

= 1200×200

= 240,000

Therefore the volume when the pressure is 800

K= VP

240000= V×800

V= 240000/800

= 300

Hence the volume is 300 cubic centimeters

help me plsssssssssssss

Answers

Answer:

do you still need help

Step-by-step explanation:

???

PLEASE HELP DUE IN AN HOUR NO LINKS PLEASE. ​

Answers

Answer:

y = 3/2  when x = 15

Step-by-step explanation:

y = k / √1+x  

2 = k / √1+8 = k/3  

k = 6  

y' = 6 / √1+15 = 6/4 = 3/2

1/7h=3
What is the value of h in the equation?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{7}h= 3}[/tex]

[tex]\large\text{MULTIPLY 7 to BOTH SIDES}[/tex]

[tex]\mathsf{7\times\dfrac{1}{7}h = 7\times3}[/tex]

[tex]\rm{CANCEL: 7\times\dfrac{1}{7}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: 7\times3\ because\ that\ gives\ you\ the\ h-value}[/tex]

[tex]\larg\text{TEMPORARY new EQUATION: }\mathsf{7\times3=\bf h}[/tex]

[tex]\mathsf{7\times3=h}[/tex]

[tex]\mathsf{7\times3=\bf 21}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf h = 21}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A teacher surveys all of the students in the school to find out each student's favorite class. The bar graph shows the results of his survey. How many more students prefer Math than prefer Science? Use the bar graph to answer the question. ​

Answers

Answer:

14

Step-by-step explanation:

16 students prefer maths and 2 students prefer science so

16-2=14

14. The math bar is at 16 and the science bar is at about 2. Subtract 2 from 16

Samar gets Rs 150 as pocket money per month. On his 15th birthday, his father increased it by 20%. How much more money will he get every month now? A

Answers

Answer:

180

Step-by-step explanation:

150/100*20=30 +150=180

Se va a colocar una escalera que mide 5 metros (m) de longitud sobre una pared. El fabricante de la escalera recomienda que, por seguridad, el ángulo que forme la escalera con el piso sea de 78°, ¿Cuál será la distancia sobre el piso del pie de la escalera a la pared?

Answers

Answer:

4.9 m

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de seno

sin θ = Opuesto / Hipotenusa

θ = 78 °

Hipotenusa = Longitud de la escalera = 5 m

Opuesto = Distancia sobre el suelo = x

sin 78 = x / 5m

Multiplicar cruzada

x = sin 78 × 5 m

x = 4.8907380037m

Aproximadamente

= 4.9 m

a dime is dropped from a building at 1.024 ft . if the equation for height as a function of time is h(t)=-16t^2+ initial height where is t is time in seconds and h(t) is height in feet, how many seconds will it take for the dime to hit the ground?

Answers

Answer:

The dime hits the ground after 8 sec.

Step-by-step explanation:

Set h(t) = -16t^2 + h(0) equal to 0:  -16t^2 + 1,024 ft = 0, or:

16t^2 = 1,024 ft, or:

 t^2 =  64 ft^2

Then t = +8 sec

The dime hits the ground after 8 sec.

Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.

Answers

Answer:

I think that the answer is true (explanation might not be 100% accurate)

Step-by-step explanation:

Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.

2.5kg of sultana brand costs $4.80 and 1.5 kg of Weetabix costs $2.95, show with working which is the best buy?

Answers

2.5kg of sultana brand cost 4.80$

price of 1 kg sultana brand = 0.520$ per kg

1.5 kg of weetabix costs $2.95

price of 1 kg weetabix brand = 0.509$

The best buy is weetabix !

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