-4x^2+64x+256=0 completing the square

Answers

Answer 1

[tex]-4x^2 +64x +256 =0\\\\\implies x^2 -16x -64 =0\\\\\implies x^2 - 2 \cdot 8 \cdot x + 8^2 -8^2 -64=0\\\\\implies (x-8)^2 -128 =0\\\\\implies (x-8)^2 = 128\\\\\implies x-8 = \pm\sqrt{128} = \pm \sqrt{64 \times 2} = \pm 8\sqrt 2\\\\\implies x = 8 \pm 8\sqrt2\\\\\text{Hence,}~ x = 8+ 8\sqrt 2~\text{or}~ x = 8 - 8\sqrt 2[/tex]


Related Questions

{6x+5y=4
{6x-7y=-20
solve by elimination

Answers

Answer:

x = -1, y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:

12y = 24

Now solve normally:

y = 2

Then substitute into the first equation (or second, it doesn't matter)

6x + 10 = 4

6x = -6

x = -1

A company makes 110 bags. 30 of the bags have buttons but no zips. 23 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?

Answers

Well, 30+23+23 = 76 which means there are only a total of 76 bags that are accounted for. 110-76 = 34 bags which we do not know if they have zips or not. If we assume they have zips, that would be 34+23 bags with zips which is 57 bags.

34 of the bags have zips on them

QUICK! I NEED HELP!!
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t + 9.35 = 12 1/4

Enter your answer as either a decimal or a mixed number in simplest form in the box.

t =

Answers

Answer:

2.9

Step-by-step explanation:

Answer:

t = 2.9t= 2 9/10

Step-by-step explanation:

t + 9.35 = 12 1/4

t + 9.35 = 12.25

t  = 12.25 - 9.35

t = 2.9

(2.9) + 9.35 = 12 1/4

12.25=12 1/4

12 1/4 = 12 1/4

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for ​$160 and first class tickets for ​$1020. She used her total budget for airfare for the​ trip, which was ​$8480. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Answers

Answer: 6 coach class tickets and 2 first class tickets

Step-by-step explanation:

33% of what number is 1.45? Round to the nearest tenth.

Answers

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

4,39

I'm sorry if I'm wrong

8 glasses every 24 hours

Answers

Answer:

f(x)= 8x

Step-by-step explanation:

x represents the number of days. 8 represents the number of glasses per day.

1 glass every 3 hours is the unit time

solve please: 1/4x-5+1.2x​

Answers

Answer:

29x/20 - 5

Step-by-step explanation:

1/4x - 5 + 1.2x​

=> 0.25x - 5 + 1.2x

=> 1.45x - 5

=> 29x/20 - 5

Therefore, this is the simplified form: 29x/20 - 5

ILL GIVE BRAINLIEST! THIS IS DUE SOON PLEASE

Answers

Answer:

-3

Step-by-step explanation:

a. Simply put (x+h) wherever you have x.

[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h[/tex]

b. We have the first part, just subtract

[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h - (-3x+7) = -3x+7-3h +3x -7 = -3h[/tex]

c. Finally, we divide by h[tex]\frac{-3h}h = -3[/tex]

а (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana cake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?

(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked? ​

Answers

Answer:

(b)(i) LCM of 45 and 50 = 450

Hence, it take 450 minutes until both ovens ding simultaneously.

(b)(ii) 450÷50=9 banana cakes baked

        450÷45=10 chocolate cakes baked.

please help, im literally so tired

Answers

Answer:

sameee lol

Step-by-step explanation:

15.
The number of calories in a 100-g serving of fruit varies by the type of fruit. A snack consisting of
on serving each of peach, apple, and banana contains 124 calories. A snack consisting of two
servings of peach and one serving of banana contains 160 calories. A snack consisting of one
serving of peach, 2 servings of apple, and two servings of banana contains 188 calories. How
many calories are in a 100-g serving of each type of fruit?

Answers

Answer:

A=24, B=40, P=60

Step-by-step explanation:

given:

P+A+B=124

2P+B=160

P+2A+2B=188

___________

P=188-2A-2B

P=124-A-B

188-2A-2B=124-A-B

188-A-B=124

188=124+A+B

A+B=64

___

P+A+B=124

P=60

___

2P+B=160

120+B=160

B=40

___

A+B=64

A=24

___

If we substitute each variable in the three given equations for these values, the equations hold true. Therefore, these are the correct values.

Solve the given problem using Venn Diagram. Show your solution

A group of 50 students went on a tour in Palawan province Out of 50 students, 24 joined the trip to Coron; 18 went to Tubbataha Reef, 20 visited El Nido: 12 made a trip to Coron and Tubbataha Reef 15 saw the Tubbataha Reef and El Nido, 11 made a trip to Coron and El Nido: 10 saw the three tourist spots.

1. How many students went to Coron only?
2. How many students went to Tubbataha Reef only?
3. How many joined the El Nido trip only? 4. How many did not go to any of the tourist spot?

(Please kindly help me. I have answered this problem, but it seems not to be correct.)​

Answers

[tex] \red{ \rule{40pt}{555555pt}}[/tex]

There are 900 3-digit integers, the integers between 100 and 999, inclusive. What percent of these integers contain only odd digits

Answers

Each digit can be one of {1, 3, 5, 7, 9}, so there are 5 choices for each. Then there are 5•5•5 = 5³ = 125 integers containing only odd digits, which means they make of 125/900 ≈ 14% of them.

Bạn dự định đi học thêm vào mùa hè này. Nếu đi học bạn sẽ không thể đi làm với thu nhập là 5 triệu đồng và không thể ở nhà nghỉ ngơi. Học phí là 2 triệu, tiền mua giáo trình 300 ngàn, sinh hoạt phí là 1.5 triệu. Hãy xác định chi phí cơ hội của việc đi học thêm vào mùa hè này.

Answers

Answer:

4 better inbox

Step-by-step explanation:

7 1/2 sticks of butter are needed to make 5 cakes. How much butter is needed to make one cake?

Answers

Answer:

1 1/2

Step-by-step explanation:

because when you divide 7.5 by 5 you get 1.5

1 1/2 sticks each cake

PLZ HELP ASAP! WILL MARK BRAINLY

Answers

Step-by-step explanation:

42 5/9 + 7 1/12 = 49 23/36 metres

it is to be added because one ant is at the top and the other is deep below

3. How many 1/8's are in 1 1/4?

Answers

Answer:

10

Step-by-step explanation:

There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.

4. Simplify: -3(2x - 5)-2(4x+3)
A.14x-9
B.-2x+21
C.-14x+9
D.-14x+ 21



Can someone help me ?

Answers

your answer will be c. -14x+9
the answer is C. -14x+9


distribute numbers outside parentheses then combine like terms.

Two consecutive odd integers have sum of 44. Find the integers

Answers

Answer:

21, and 23

Step-by-step explanation:

divide 44 by 2 to find the integer that spits it up perfectly into two. Then just add 1 to one 22 and minus 1 to the other. Then its 21 and 23.

· Carlos ran one lap in 1 minute 3 seconds. Orlando rana one lap 5 seconds faster than Carlos. How many seconds did it take Orlando to run one lap?​

Answers

Answer:

58 seconds.

Step-by-step explanation:

Since one minute equals 60 seconds, Carlos took 63 seconds.

Orlando ran in 63 seconds - 5 seconds, which is equal to 58 seconds.

A shipment contains 10 igneous, 8 sedimentary, and 8 metamorphic rocks If 8 rocks are selected at random, find the probability that exactly 6 are sedimentary
The probability that exactly 6 of the rocks are sedimentary is
(Round to four decimal places as needed.)

Answers

The probability that exactly 6 are sedimentary is 0.00002

Probability is the likelihood or chance that an event will occur.

Given the total amount of rocks = 10 + 8 + 8 = 26 rocks

If there is a total of 8 sedimentary rocks, the total outcome will be expressed as:

26C8 = 26!/(26-8)!8!

26C8 = 1562275

If exactly 6 are sedimentary are selected out of 8 sedimentary rocks, then the expected outcome is ;

8C6 = 8!/(8-6)!6!

8C6 = 28

Pr(exactly 6 are sedimentary ) = 28/1562275

Pr(exactly 6 are sedimentary ) = 0.000017922

Hence the probability that exactly 6 are sedimentary is 0.00002

Learn more on probability here: https://brainly.com/question/13604758

The price was reduced from two thousand, four hundred ninety-eight dollars to one thousand, nine hundred ninety- nine dollars. By how much was the price reduced?​

Answers

Answer:

$499

Step-by-step explanation:

Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.

2489-1999=499

(When you get your answer,make sure to add the dollar sign.)

The price was reduced by $499.

Plx = 3 + 5x+2
Degree
Leading coefficient
Turning Points
End
Behavior of the
Graph

Answers

Answer:

cost of renting from company A

C = 15 + 2.30x

cost of renting from company B

C = 22 + 1.90x

equate both the equations

15 + 2.30x = 22 + 1.90x

2.30x - 1.90x = 22-15

0.4x = 7

x = 7/0.4 = 17.5

At 17.5 miles, cost will be equal.

Answer: 17.5 miles

54,392 rounded to the hundreds place

Answers

Answer:

54,400

Step-by-step explanation:

Soraya earned $40 in October. She earned $50 in
November.
What is the percent increase or decrease in Soraya's monthly earnings?
A. 15% decrease
B. 30% increase
C. 25% increase
D. 20% decrease

Answers

25% increase.

Explanation: 25% of $40 is $10. You add $10 to $40 you get $50.

8488.75 times 24.50 plz quick

Answers

Answer:

207,974.375

I'm not sure if you need an explanation, and I myself, am not sure I can explain it to you, so I'll just give the answer to you.

Hope this helps!

6,600,000,000 exponential notation

Answers

Answer:

6.6 x 10^9

Step-by-step explanation:

What is the measure of angle 1

Answers

The answer is 88 degrees

Angle 1= 88 degrees
( the third option )

pls say the answer to me​

Answers

Answer:

Sohan has read more pages and Sonali was more faster

1. 6 km = ___ m
2. 8m = _____ km
3. 1dL = _____ mL
4. 30 kg = ____ g
5. 34 mg = ____ g.




!!!!!!! ​

Answers

6 km = 6000m8m = 0.008 km 1dL = 100 mL 30 kg = 30000g 34 mg = 0.034g.

Answer:

[tex]1)6000m \\ \\ 2)0.008km \\ \\\ 3)100ml \\ \ \\ 4)30000g \\ \\ 5)0.034g[/tex]

MARK ME AS A BRAINLIST PLZ

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