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

A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, a. Write a numerical expression for the given statement. B. Which property of whole numbers would you use to form a numerical expression for the given statement? C. How much money he gets per day for the supply?

Answers

Answer:

a) (15 × 32) + (15 × 68)

b) Distributive property

c) $1500

Step-by-step explanation:

A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,

a. Write a numerical expression for the given statement.

The numerical expression for the given statement is written as:

$15 × 32 liters + $15 × 68 liters

15 × 32 + 15 × 68

B. Which property of whole numbers would you use to form a numerical expression for the given statement?

The property that I would use to form a numerical expression is a distributive property

a × (b + c) = (ab + ac)

Where a = $15

b = 32 liters

c = 68 liters

Hence:

15 (32 + 68) = (15 × 32) + (15 × 68)

C. How much money he gets per day for the supply?

The amount he gets per day:

15 (32 + 68) = (15 × 32) + (15 × 68)

= $1500

how many seconds are in a whole week?!
A. 200,400
B. 406,800
C. 604,800
D. 605,800
E. 604,000

Answers

Answer:

E 604,000

Have a nice day

please show your work

Answers

Answer:

a) - 10

Step-by-step explanation:

The two angles are vertical angles:

Angles that have a common vertex and whose sides are formed by the same lines.

Therefore, set your formula up as following

x+5=2x-5

x + 5 - 2x = -5

-x + 5 = -5

-x = -10

I borrowed $400 to buy an MP3 player. I got a two-year loan, and the lender is charging 8% simple annual interest. How much money will I have to pay back?

What decimal is equivalent to 8%?

Answers

Answer:

$464 (0.08 is the decimal form of 8%)

Step-by-step explanation:

Answer:

The Answer is 0.08 Just did the Question

Step-by-step explanation:

Find the circumference of a circle with a radius of 6 inches.

Answers

Answer:

C≈37.7

Step-by-step explanation:

C = 37.68

Step-by-step explanation:

6×2 = 12

C = pi d

C = 3.14 × 12

C = 37.68

When rolling a pair of dice, what is the probability (as a percent) that each die will land on an even number?

Answers

Answer:

The probability of getting an even number at the first die is 1/2 (as the probability of even = the probability of odd = 1/2); 2. The probability of getting a total of 8 is 5/6^2, as there are 5 different favorable scenarios: (2,6), (6,2), (3,5), (5,3) and (4,4);

Step-by-step explanation:

(8x10^-3)+(2 x 10^-4)

Answers

Answer:

0.0082

Step-by-step explanation:

When a warehouse opened, it had an inventory of 6,000 items. Every month, the inventory increases by 3,000 items.
Which graph has the most appropriate scales and units for this situation?

Answers

Answer:

Step-by-step explanation: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

simplify
[tex] \sqrt{12} [/tex]

Answers

2 and then on the inside of a square root is 3

Hi there!

»»————-　★　————-««

I believe your answer is:

[tex]\huge\boxed{2\sqrt{3}}[/tex]

»»————-　★　————-««

Here’s why:

[tex]\boxed{\text{Simplifying the square root of 12}}\\\\\rightarrow\sqrt{12}\\\\\text{4 can be factored out of 12.}\\\\\rightarrow\sqrt{4(3)}\\\\\text{Two '2's can be factored out of 4.}\\\\\rightarrow\sqrt{2*2*3}\\\\\rightarrow\sqrt{2^2(3)}\\\\\text{Pulling out the terms from under the radical...}\\\\\rightarrow\boxed{2\sqrt{3}}[/tex]

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

Solve for x.
2x + 4
4x - 88
x = [?]

Answers

Solve for x.
2x + 4= 8
4x - 88 = -352
x = [?]

How could I solve this equation by dividing first? 4(x+7)=40

Answers

Answer:

You could divide 4 from both sides first

74,308 Problem: Round the number above to the nearest ten.

Answers

Answer:

74,310

Hope this helped! ^^

Answer:

[tex] = 74,310[/tex]

step by step explanation:

Combine like terms.

y + 2 + 8(y + 7) =

Answers

Answer:

Step-by-step explanation:

y+2+8(y+7)

y+2+8y+56

9y+58

What is the value of x?
56
89
360
104

Answers

If the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.

Given the measure of three angles 124°,76°,71°.

We are required to find the value of x which is an angle of a quadrilateral.

Quadrilateral is a figure or shape that is having four sides and four angles.

We know that the sum of all four angles of a quadrilateral is 360°.

So the following expression will appear from the above rule:

x+124+76+71=360

Now solve the aove expression for the value of x.

x+271=360

x=360-271

x=89

Hence if the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.

Learn more about angles at https://brainly.com/question/25716982

#SPJ1

Nathan lifts a 5 lb. box 2 feet. How much work has he done?

2 ft-lbs.
5 ft-lbs.
7 ft-lbs.
10 ft-lbs.

Answers

Answer:

10 ft-lbs.

Step-by-step explanation:

Given data

Weight of box= 5 lb

Height moved = 2 feet

We know that the expression for work done is

Work done= Force * Distance

Work done= 5*2

Work done= 10 10 ft-lbs.

Vertical angle question, should be easy points for you

Answers

Answer:

I don't know how to explain it well but i got part of my notes and i solved it and i got D. 144 and i got it checked and it was correct

Step-by-step explanation:

Sorry for not helping sooner

A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110

Answers

Answer: (a)

Step-by-step explanation:

Given

The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used

for 600 kWh in a month, [tex]b(x)[/tex] is

Substitute 600 for [tex]x[/tex] in [tex]b(x)[/tex]

[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]

Therefore, the bill for a person is [tex]\$80[/tex]

How many distinct "pieces" are in this graph?

Answers

Answer:

Step-by-step explanation:

the first point and where the line turns

Explain is this is a right triangle using the Pythagorean Theorem

Answers

C2 = a2 + b2
C2= 7x7 + 10x10
C2= 49 + 100
C2 = 149
C = 12.2

I guess it’s not right

shelly is rolling a six-sided number cube and recording her results in a chart.

Which is BEST supported by the data in the chart?

A.When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

B.When viewing the data for rolling a two, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

C.When viewing the data for rolling a four, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

D.When viewing the data for rolling a one, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
***(NO LINKS AND ACTUALLY ANSWER)***

Answers

Answer:

A is your answer

Step-by-step explanation:

The answer that is BEST supported by the data in the chart is A. When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

What is Probability?

This refers to the likelihood of an event to occur when different independent and dependent variables are factored in.

Hence, from the given chart, we can see that it shows the results of Shelly after she rolls a six-sided number cube and the best answer that supports the data on the chart is that as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

Answers

Answer: a

Step-by-step explanation:pls brainly me

calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years

Answers

Answer:

Compound interest = Rs 1,575 (Approx.)

Step-by-step explanation:

Given:

Amount invested = R.s 6,500

Rate of interest = 7.5% per annum

Number of year = 3 year

Find:

Amount of compound interest

Computation:

Compound interest = P[(1+r)ⁿ - 1]

Compound interest = 6500[(1+7.5%)³ - 1]

Compound interest = 6500[(1+0.075)³ - 1]

Compound interest = 6500[(1.075)³ - 1]

Compound interest = 6500[1.2423 - 1]

Compound interest = 6500[0.2423]

Compound interest = 1574.95

Compound interest = Rs 1,575 (Approx.)

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE im confused

Answers

Answer:

1.B,C,D

2.A,D,E

I don't really know how to explain it to you but thats your answer :D

I need help on this. it would really help me alot

Answers

Answer:

23.31 ft

Step-by-step explanation:

Tan y= opposite÷adjacent

tan 47= 25÷ x

tan 47 • x = 25

x= 25÷ tan 47

x= 23.31 ft

HOPE THIS HELPS!

What is the value of x in the equation -6 +x= -1?
0-5
0-7
07
05
Help please

Answers

Answer:

0-5

Step-by-step explanation:

Just add the 6 to -1 and then you get x=5
Answer: 5

Find the approximate surface area of the cylinder below. Round your answer to the nearest tenth.
Lateral
7cm
5cm
cm?

Answers

5cm I think, I’m just answering because Brainly wants me to

PLEASE HELP SOLVEE THIS ?

Answers

Answer:

25 Im pretty sure is next

Step-by-step explanation:

Answer:

Step-by-step explanation:

arrange the data from ascending to decending order.

11,12,16,16,17,18,20

median=(N+1)/2(N = number of data)

=(7+1)/2

=8/2

=4 th term

=16

therefore median=16.

A tub is filled with 18000 cm3 of water. It loses one-tenth of its water every 12 hours. What volume of water would be remaining in the tub at the end of 5 days

Answers

Answer:

0 cm³

Step-by-step explanation:

the lost of water =

(5×24)/12 x 1/10 × 18000

= 10/10 × 18000 = 18,000 cm³

so, the remaining water in the tub=

18,000 - 18,000 = 0 cm³

(the tub is empty)

Finde the valu of x if 1+x=0

Answers

Answer:

x = -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=-1

Because,

If we add 1+(-1)

It would be 0.

Find the value of tan M rounded to the nearest hundredth, if necessary.

Answers

Answer:

36.9

Step-by-step explanation:

Use the formula [tex]a^2 + b^2 = c^2[/tex] to find the length of LK.

40 is the hypothenuse because it is directly across from the right angle.

[tex]a^2 + 24^2 = 40^2[/tex]

[tex]a^2[/tex] = 32

Tan is opposite over hypothenuse.

Tan M = 36.9

Other Questions

PLEASE HELP ASAP!!! 100 POINTS!!!DIRECTIONSUse complete sentences to respond to each question about your novel or short story.When providing quotes from your text, include page numbers in parentheses.Pick a Novel: Copper SunThe OutsidersThe GiverHatchetCupid and PsycheThe Gift of the MagiThe Golden TouchThe Open BoatTitle of short story or novel __________________________________________________Author ___________________________________________________________________Describe the setting of your novel or short story.Provide a quotation from the text to support your answer.Describe the protagonist of your novel or short story.Provide a quotation from the text to support your answer.Discuss the main conflict in your novel or short story. If the conflict is not perfectly clear yet, what do you suspect it will be? Explain who is trying to do what.Which of the four major types of conflict best describes the situation you discussed?Provide at least two examples of dialogue in your novel or short story that support the type of conflict you have identified.Explain how each example of dialogue supports the conflict.Describe two examples of rising action events in your novel or short story.Provide a quotation from the text to support your answers. please help asap!! :) Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism? A.312B.402C.372D.492 (Square cm) Which leader did not promote the new nationalism of the "American System"? Yolanda receives a $1,000 dollar raise each year from her starting salary of $40,800.After 10 years, how much total gross income will she have earned for all 10 years?For example: $40.800 in year one, $41,800 in year two etc.helppp Which of these is an example of a continuous random variable?A. Points scored in a basketball gameB. Altitude of an airplaneC. Number of letters in a mailboxD. Number of heartbeats in a minute How long an umbrella will fit in the bottom of a suitcase 1.5 feet by 2.5 feet the sum of a and 3a is The lengths of the sides of a triangle are in the extended ratio 5: 8.9. The perimeter of the triangle is 44 cm. What are the lengths of the sides?The lengths of the sides of the triangle in cm are Simplify the expression. Write your answer in positive exponent form: (1/4) ^3 x (1/4) ^7 please help i need it really bad Read the following lines from The Call of the Wild .He was surprised at the eagerness which animated the whole team and which was communicated to him; but still more surprising was the change wrought in Dave and Sol-leks. They were new dogs, utterly transformed by the harness The toil of the traces seemed the supreme expression of their being, and all that they lived for and the only thing in which they took delight. Cite the quotation that best supports Buck's observation that the other dogs actually enjoy the harness."He was surprised at the eagerness which animated the whole team and which was communicated to him...""...but still more surprising was the change wrought in Dave and Sol-leks. They were new dogs, utterly transformed by the harness""...still more surprising was the change wrought in Dave and Sol-leks.""The toil of the traces seemed the supreme expression of their being, and all that they lived for and the only thing in which they took delight." Can someone help me with this? 13 points! 0.54+13,500=?/100+13,500 help pls 1. Figurative Language means: A short and amusing or interesting story about a real incident or personb. Stories - poems - Historical Novels - Fantasy Stories Myths C. Departing from a literal use of wordsmetaphorical. d. Two things you tell how they are alike and how they are different. 7 ptsYou are making hamburgers for a barbeque with your family and bought 10 2/3 pounds of ground beef. If you want to make 1/3 pound hamburgers, how many burgers can you make from the pounds of ground beef? Using traditional methods it takes 99 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 190 students and observed that they had a mean of 98 hours. Assume the population variance is known to be 49. Is there evidence at the 0.05 level that the technique reduces the training time?State the null and alternative hypotheses. Find the value of the test statistic. Round your answer to two decimal places solve the equation for all real solutions 4q^2-4q+1=0 Write the equation of the line in fully simplified slope-intercept form. Why was the Reapportionment Act of 1929 passed? A.The number of senators per state was changing as the country expanded.B.Congressional districts were redrawn to establish safe seats for the political parties.Membership in the House needed to oe capped to prevent an excessive number of members. D.The House was limited to two representatives per state.