using completing the square method in quadratic equation 5x²+ 11x + 2=0​

Answers

Answer 1

Answer:

x= 1/5 or -2

Step-by-step explanation:

5x² +11x +2= 0

(Divide through by the coefficient of x²)

5x²/5 + 11x/5 + 2/5 = 0/5

x² + 11x/5 + 2/5 = 0

(take the constant to the other side)

x² + 11x/5 = -2/5

(Add 1/2 of the coefficisint of x all square to both sides)

x² + x + (11/5 × 1/2)² = -2/5 + (11/5 × 1/2)²

x² + x + (11/10)² = -2/5 + (11/10)²

x² + x + (11/10)² = -2/5 + 121/100

(eliminate x )

x² + (11/10)² = (20(-2) + 121 ) ÷ 100

(x + 11/10 )² = (-40 + 121) ÷ 100

(x + 11/10 )² = 81/100

(square both sides)

x + 11/ 10 =√(81/100)

x + 11/10 = 9/10

x = -11/10 +or- 9/10

x = -11/10 + 9/10 or -11/10 - 9/10

x = (-11 + 9) ÷ 10 or (-11-9) ÷ 10

x = -2/ 10 or -20/10

x = -1/5 or -2


Related Questions

What is B^y=x in logarithmic form?

Answers

Answer:

The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, “y equals log to the base b of x,” or more simply, “y equals log base b of x.” As with exponential functions, b > 0 and b ≠ 1

Step-by-step explanation:

ttygytex x so r5f3ygthttg

What agreement did Britain and the United States make in the Treaty of 1818?
joint control of the Oregon Country for ten years
joint control of West Florida for ten years
O joint control of fishing rights off Canada for ten years
O joint control of Latin America

Answers

Answer:

A

Step-by-step explanation:

Unit Test on a Edge today. ; )

Answer:

its A

Step-by-step explanation:

i got a 100  on my quiz

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3) ?​

Answers

Slope form: y = mx + b
mx = 1/2x
y = 1/2x + b
Plug in points to find b
-3 = 1/2(2) + b
-3 = 1 + b
b = -4
Final equation: y = 1/2x - 4

Geometry: Express the area of each figure as a monomial. I need help with this, anyone? ​

Answers

Answer:

answer 28ab³ I think maybe

The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

Here,

The formula to calculate the area of a right-angled triangle is:

Area = (1/2) * base * height

In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].

Now, let's substitute these values into the formula:

Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]

Now, simplify the expression:

Area = [tex]2 * a^2b * 6ab^3[/tex]

To find the monomial representation, multiply the coefficients and add the exponents of like terms:

Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]

Finally, simplify the exponents:

Area = [tex]12a^3b^4[/tex]

So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

To learn more on triangle area click:

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4. Victoria fills a 15-gallon pool. She has a 2-liter
bucket she uses to fill the pool. If 1 gallon is
approximately 3.79 liters, what is the
maximum number of full buckets Victoria can
pour into the pool without it overflowing?
A. 56 buckets
B. 57 buckets
C. 28 buckets
D. 29 buckets

Answers

C
Because when you multiply dkdjended

Find the dimensions of a rectangle with area 729000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)

Answers

Step-by-step explanation:

Area of a rectangle = Length * Width

A = LW

729000 =  LW .... 1

Perimeter of a rectangle P = 2L+2W

P = 2L+2W

From 1;

W = 729000/L

P = 2L + 2(729000/L)

P = 2L + 1458000/L

To minimize the perimeter, dP/dL = 0

dP/dL = 2 -  1458000/L²

2 -  1458000/L² = 0

2L² - 1458000 = 0

2L² = 1458000

L² = 729000

L = √729000

Length = 853.8m

W = A/L

Width = 729000/853.8

Width = 853.8

Hence the dimension to the nearest meter is 854m by 854m

Anna is x years old and her sister, Jane is y years younger
What was the sum of their ages two years ago?
What will be the sum of their ages in 3 years?
How old was anna when Jane was born?

Answers

Answer:

Age of Anna = x years

Age of Jane i.e. Anna's sister = (x-y) years

a, What was the sum of their ages two years ago?

Solution,

Age of Anna two years ago = (x-2) years

Age of Jane two years ago = (x-y-2) years

Sum of their ages = x - 2 + x-y-2 = 2x - y -4

b. What will be the sum of their ages in 3 years?

Solution,

We have,

Present age of Anna = x years

Present age of Jane = (x-y) years

So,

Age of Anna after 3 years = (x+3) years

Age of Jane after 3 years = (x-y+3) years

Therefore,

Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6

c. How old was Anna when Jane was born?

Solution,

Here,

According to question,

Jane is y years younger than Anna

So, Anna was y years when Jane was born.

[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]

I am kind of stuck on this question could someone explain and answer this question I would really appreciate it :)

Answers

Answer:

First one

Step-by-step explanation:

Supplementary angles basically means which angles added together equals 180 degrees, 180 degrees is also a straight line.

So the answer would be the first one because both the angles added together is 180.

It’s the first one>>>40°+140°<<< because supplementary angles are two angles that should add up to 180° because 180°is the degree of a straight line. And the only one that adds up to 180 is the first one. Hope this helps!

16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth

Answers

Answer:

21

Step-by-step explanation:

I believe this because when you add it all together you get 20.77

Which direction am I going if I drive from Washington DC to Dallas texas

Answers

Answer:

north

Step-by-step explanation:

(45x-7)4x=57 solve this and ill make out with you

Answers

Answer:

After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Step-by-step explanation:

We need to solve the equation: [tex](45x-7)4x=57[/tex]

Solving:

[tex](45x-7)4x=57[/tex]

Multiply 4x with terms inside the bracket

[tex]180x^2-28x=57[/tex]

[tex]180x^2-28x-57=0[/tex]

We need to solve above equation to find value of x

Using quadratic formula for finding value of x: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=180, b=-28 and c=-57

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490[/tex]

Values of x are [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

So, After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Help pleaseeeeeeeeeeeeeeeee

Answers

Answer:  0.92 feet (choice B)

You're close but not quite there. To get the answer, you divide 29.44 over 32

If you had 32 feet of banner and 32 students, then each student would get 32/32 = 1 foot. Since the length of the banner is smaller than the number of students, this means each student only gets a fraction of a foot. This fraction value is fairly close to 1 because 29.44 is close to 32.

Answer:

B: 0.92

Step-by-step explanation:

Divide the banner length by the amount of students

[tex]\frac{29.44}{32}[/tex]

A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?

Answers

Answer: -81

Step-by-step explanation:

Let x = the car moving towards west = 30

Let y = truck moving towards north = 40

dx/dt = -55

dy/dt = -60

We the use Pythagoras theorem to solve further where,

s² = x² + y²

s² = 30² + 40²

s² = 900 + 1600

s² = 2500

s =✓2500

s = 50

We then differentiate with respect to t, then we will have:

s² = x² + y²

2s ds/dt = 2x ds/dt + 2y dy/dt

50 ds/dt = (30 × -55) + (40 × -60)

50 ds/dt = -1650 - 2400

50 ds/dt = - 4050

ds/dt = -4050/50

ds/dt = -81

Faith spent $78 at Fashion Warehouse. She bought 2 shirts that each cost $17.50 and a pair of shoes. How much did she spend for shoes?
Answers Choices
A. 34.00
B. 60.50
C. 43.00
D. 113.00

Answers

Answer:

C. 43.00

Step-by-step explanation:

If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.

Geometry please help

Answers

VXW is 68 degrees

You can use the alternate interior angles theorem to put XVW as 52 degrees and then add 52 and 60 up and subtract from 180 since every triangle has 180 degrees

What is the x-coordinate of point B? Write a decimal coordinate.
(brainliest ) Edge 2020

Answers

The coordinate of point B is approximately (-1.5, 3.5).

Francisco makes $11 per hour doing part time work on Saturdays. He spends $3 on transportation to and from work. The equation y = 11x - 3 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
x=2
x=3
x=4
x=5

Answers

Answer:

x=4

Step-by-step explanation:

You want to plug each x value into the equation to complete the table of values. The x variable represents how many hours he worked

y=11(2)-3=19
y=11(3)-3=30
y=11(4)-3=41
y=11(5)-3=52

Hope this helps!

Do you guys know this?

Answers

Answer:

3

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's look at g(3) first. It is stated in the problem that g(3) = 2.

We then use this value for f(x). It is stated in the problem that f(2) = 3.

The answer is 3.

help plz idk okhehehehehe​

Answers

That is the answer for the first one

Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1

Answers

Answer:

Step-by-step explanation:

x = 0

x+3 = 0

x = -3

The answer is x could be 0 or -3

Answer:

c on edge

Step-by-step explanation:

15. Harold learned that 6 out of 10 students at his school live within two miles of the school. If 240 students attend Grade 6 at his school, about how many of these students should Harold expect to live within two miles of the school? A 24 ® 40 © 144, 180​

Answers

Answer:

144

Step-by-step explanation:

Write a equation(or whatever it is called)

6/10=x/240Cross multiply, 1440=10xDivide, 144=x

Check your work:

6/10=144/240Cross multiply, 1440=1440

The number of passengers in the bus double every minute. The bus was full of
passengers at 7.45am. When was it one quarter full?

Answers

Answer:

7:43 am.

Step-by-step explanation:

it was  1/2 full one minute ago then another 1/2 = 1/4 full 2 minutes ago.

Knowing how the bus fills, we want to find the time where the bus is one-quarter full.

The bus is one-quarter full at 7:43 am.

We know that at 7:45 am the bus is full. Let's say that the full bus has N people inside.

Each minute the population doubles, so if we go backwards, each minute the population is divided by 2.

One minute before, the bus must have half of the above population, meaning that at 7:44 am, the bus has N/2 people.

Another minuter before the people inside is halved again, then at 7:43 am we will have (N/2)/2 = N/4 people.

And if N is the people in a full bus, then N/4 represents the buss a quarter full.

Then we can answer the question as:

The bus is one-quarter full at 7:43 am.

If you want to learn more, you can read:

https://brainly.com/question/23055320

(Ill give brainliest if u help!)


Which equation has a value less than 54,811?


A) 54,811 x 2 = ________

B) 54,811 x one and two fourths = ________

C) 54,811 x 1 = ________

D) 54,811 x two fourths = ________

Answers

Answer:

Answer is D

Step-by-step explanation:

Answer:

The answer would be D.

Step-by-step explanation:

What is the product of 7×-6 1/8

Answers

Answer:

-42.875 or -42 7/8

Step-by-step explanation:

you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.

The product of the fraction 7 x -(6 1/8) is -42.875 or in fraction form -42 7/8.

We have expression: 7 x -(6 1/8).

First, write the mixed fraction into improper fraction as

Numerator = 8 x 6 + 1 = 49

Denominator = 8

Now, the product will be

7 x -(6 1/8)

= 7 x (-49/8)

= 7 x (-6.125)

= -42.875

Learn more about Fraction here:

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Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = −6.

Answers

The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]

How to determine the equation?

Generally, a point is represented as:

(x,y)

The line x = -6 means that:

(-6, y)

So, we calculate the distance between (x,y) and (-6, y) as follows:

[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]

This gives

[tex]d = \sqrt{(x + 6)^2 }[/tex]

Next, we calculate the distance between (6,0) and (x, y) as follows:

[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]

This gives

[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]

Equate both distance expressions

[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]

Square both sides

[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]

Expand

[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]

Evaluate the like terms

[tex]12x = - 12x + y^2[/tex]

Add 12x to both sides

[tex]y^2 = 24x[/tex]

Make x the subject.

[tex]x = \frac 1{24}y^2[/tex]

Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]

Read more about line equations at:

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solve 1,000x10 hint: use a strategy

Answers

Answer:

10000

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left  the one from the number 10 and allso the ones from 1000

a. Identify at least three cases in your daily life/work where the analytics could be applied.
b. Choose one of the cases and describe how you will approach the problem. For example, you can start from where/how you collect data, how to use the data, what kind of problem can be solved, and etc.

Answers

Explanation:

Remember, the term analytics (or data analytics) refers to the act of carefully examining raw data in other to observe if there are any trends.

a) The following are three cases in our daily life/work where analytics could be applied:

analyzing changes in cell phone charges based on call durationanalyzing changes in our sleeping pattern based on hours spent on electronic gadgetsanalyzing changes in train ticket sales based on the time of the day.

b) For example, to analyze changes in my sleeping patterns based on hours spent on electronic gadgets, I need to first know

how many hours of sleep do I have every day in a particular period of time,how many hours have I spent on electronic gadgets daily for a period of time,Next, I need to answer based on the data; Is the amount of hours I sleep lower than expected? or Do I spend more time on electronic gadgets than sleep?

what should be added to 7 3/5 to get 18 (Step explanation )​

Answers

Plz mark it brainliest if it is useful for u

Who is the most powerful undertale character

Answers

Answer:

Asriel Dreemurr

Step-by-step explanation:

Answer:

clearly the gay robot

hes my favorite <3

Please answer! I will give brainliest to the correct answers.

Answers

Answer:

(n+10)+9

{(n+10)+9}/2

[{(n+10)+9}/2]-5

All you have to do is follow the steps!

Think of a number - n

Add 10 - n + 10

Add the number you were thinking of - n + 10 + n

Divide by 2 - (n + 10 + n) / 2

Subtract 5 - ((n + 10 + n) / 2) -5

It may look hard, but its not as hard as you think. All you need to do is follow the steps!

Other Questions
In the students are to be corrected immediately. Select one: a. The communicative Method b. Audio Lingual Question 2. In Grammar - Translation Method the teacher must be a native speaker of the target language taught at the classroom. Select one: True False Jason has 4 tiles. Each tile has a number printed on it. The numbers are 2, 3, 6, and 8. A decimal number is formed using the tiles and the clues. Find the number. Clues: 1. The digit in the tens place is the greatest number. 2. The digit in the tenths place is less than the digit in the hundredths place. 3. The digit in the ones place is greater than the digit in the hundredths place. Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x 15. Check whether Samanthas equivalent expression is correct using x = 2. Samantha is incorrect because when using x = 2, the resulting values in both expressions are different. Samantha is incorrect because the expressions cannot be checked using x = 2. 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Problem And Solution essay on crime In a monopolistically competitive industry, price:______ a. is most likely a bit higher than the competitive market price because of the cost of variety. b. will exceed the monopoly price due to the destructiveness of competitive forces. c. will be lower than the competitive price due to cost savings. d. is contingent on the behavior of other firms because they are mutually interdependent. y=7-x in standard form please help Which of the following objects had the greatest force applied to it? *A) An object with a mass of 10 kg and an acceleration of 2.5 m/s^2B) An object with a mass of 12 kg and an acceleration of 3.0 m/s^2C) An object with a mass of 20 kg and an acceleration of 1.5 m/s^2D) An object with a mass of 15 kg and an acceleration of 1.0 m/s^2 What is Lopados conclusion in the nuremberg trials? Di si estas estas frases son foxsas o verdaderas.1. Anala es paraguaya.VerdaderoFalso2. Los miembros de la orquestra son ancianos.VerdaderoFalso3. 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Read the paragraph, Artemis and Poseidon are two figures from ancient Greek mythology. They are both characterized as gods who live on Mount Olympus. Artemis is the female goddess of the moon and the hunt. She is a daughter of Zeus. On the other hand, Poseidon is one of Zeus's brothers. He is the male god of the oceans. Each of these figures is considered a major god in Greek mythology What clues show that the paragraph is organized using a compare and contrast structure? O words and phrases that signal similarities and differences between two things words and phrases that describe events and explain why they happen words and phrases that show an order of events or list steps in a procedure words and phrases that describe a problem and how the problem is solved Mark this and return Save and Exit Next Submit