Solve the quadratic equation by completing the square.
x²+12x+33=0

Solve The Quadratic Equation By Completing The Square.x+12x+33=0

Answers

Answer 1

[tex]x^2 + 12x=-33 \\ \\ x^2 + 12x+36=3 \\ \\ \boxed{(x+6)^2=3} \\ \\ x+6=\pm \sqrt{3} \\ \\ \boxed{x=-6 \pm \sqrt{3}}[/tex]


Related Questions

Which term best describes the geometric figure? Points A and B are connected by a line.

Answers

The best  that describes the geometric figure is a line segment.

A line segment is a part of a line that connects two points which are considered to be its endpoints.

If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so The best describes the geometric figure is a line segment.

If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so that the best describes the geometric figure is a line segment.

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There are 48 trees at the park. ¼ of the trees are oak trees. How many oak trees are at the park

Answers

Answer:

12 oak trees

Step-by-step explanation:

1/4 of 48 =12

latoya plots the integers -8, -5, and 2 on a number line. which of the following is the distance between one pair of integers that she plotted?

Answers

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

Number line :

the line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, in plotting a point.

The numbers on the left are smaller than the numbers on the right of the number line. A number line can also be used to carry out addition, subtraction, and multiplication. We always move right to add, move left to subtract, and skip count to multiply.

Distance formula :

D= right side integer of horizontal line  - left side integer of the horizontal line

Distance between the points -8 and 2

d = 2-(-8)

d=10 unit

Distance between the points -5 and 2

d= 2-(-5)

d=2+5

d=7 unit

Distance between the points -5 and -8

d= -5-(-8)

d=-5+8

d=3

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

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|x+4|<9
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The answer is 203 because you multiple it

3.
Sarah wants to buy some fruit.
She wants to buy
and
3 oranges at 30p each
1
kg apples at £1.20 per kg.
2
The only money Sarah has is one 50p coin and six 20p coins.
She pays for the fruit.
Work out how much money Sarah has left.
You must show all your working.

Answers

After spending the money on oranges and apple, Sarah is left with 20p.

What is defined as the cost of the product?In mathematics, a product is described as the result of multiplying two or several numbers together.Product cost makes reference to the expenses incurred in the production of a product.

As per the given question;

Sarah spend the amount to buy the 3 oranges is 30p each.

Total spending on oranges = 3 x 30p = 90p.

For buying 1/2 kg of apple; Sarah spend the amount of  £1.20 per kg.

Cost for half kg of apples = 60p.

Total cost =  apple + oranges

Total cost = 60p + 30p = 90p.

Total cost = £1.50

Now, the only money Sarah has is one 50p coin and six 20p coins.

Sarah' money = 50p + (6 x 20)p

Sarah' money = 50p + £1.20

Sarah' money = £1.70

Money left = £1.70 - £1.50

Money left = £0.20 = 20p

Thus, the money left to Sarah is 20p.

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The correct question is -

Sarah wants to buy some fruit. She wants to buy and 3 oranges at 30p each 1/2kg apples at £1.20 per kg.

The only money Sarah has is one 50p coin and six 20p coins.

She pays for the fruit.

Work out how much money Sarah has left.

Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.

Answers

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

What is Descriptive Statistics?

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Write an equation and solve.
For a ride on a rental scooter, Justin paid a $2 fee to start the scooter plus 12 cents per
minute of the ride. The total bill for Justin's ride was $20.84. For how many minutes did
Justin ride the scooter?

Answers

Answer:

2+0.12x=time on scooter bill

x is minutes and x is 157 minutes on the scooter

Step-by-step explanation:

A bus covers a distance of 60 km in 1 hr, 56km in 2hr ,70km in 3hr, 50km in 4hr,65km in 5 hr, 60 km in 6 hr find the average speed of the bus and draw a graph for this.

Answers

A Average speed distance of 60 km in 1 hr, 56km in 2hr ,70km in 3hr, 50km in 4hr,65km in 5 hr, 60 km in 6 hr = 14.61 km/hr

Given:

Average speed=Total distance /Total time

60 km in 1 hr,

56km in 2hr ,

70km in 3hr,

50km in 4hr,

65km in 5 hr,

60 km in 6 hr

Average speed=207/21=14.61

The average speed of a body is the mean value of its speed across time. The formula for average speed is required since the speed of a moving body is not constant and fluctuates over time. Even with changing speed, the values of total time and total distance traversed may be employed, and we can get a single number to describe the complete motion using the average speed calculation.

A body's average speed is equal to the overall distance traveled divided by the entire time spent. The average speed formula is as follows:

Formula for Average Speed:

Average Speed = Total Distance Traveled / Time Spent

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is 9.02 x 10-8 larger than 9.02 x 10-6

Answers

Answer:Yes 90.2 x 10-8 is greater then 90.2 x 10-6

Step-by-step explanation:

Can anyone help? (question in image)

Answers

The expression is simplified to n = 3/ 25

What are algebraic expressions?

Algebraic expressions are expressions made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.

They also consist of variables, terms, factors, constants and coefficients.

Given the expression;

[tex]5( n- \frac{1}{10} ) = \frac{1}{2}[/tex]

expand the bracket

[tex]5 ( \frac{10n - 1}{10} ) = \frac{1}{10}[/tex]

[tex]\frac{50n - 5}{10} = \frac{1}{10}[/tex]

cross multiply

10( 50n - 5) = 10

expand the bracket

500n - 50 = 10

collect like terms

500n = 60

Make 'n' the subject

n = 60/ 500

n = 6/ 50

n = 3/ 25

Thus, the expression is simplified to n = 3/ 25

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Assume $x is deposited into a savings account. Blank Bank offers an annual rate of r% for y years. Thank Bank offers a rate of ry% for 1 year. Which earns more interest?

Answers

Blank bank as well as Thank bank earn equal interest.

In this question, Blank Bank offers an annual rate of r% for y years.

and Thank Bank offers a rate of ry% for 1 year.

Assuming $x is deposited into a savings account, we need to determine which bank earn more interest.

We know that, Interest = principal × rate × time

Now we convert the rates to decimals and to do that we divide by 100.

So, the annual rate of the Blank bank = 0.0r

And the annual rate of the Thank Bank = 0.0ry

Using above formula of interest,

For Blank bank, the interest would be,

I_B = x × 0.0r × y

I_B = xy(0.0r)

I_B = 0.0rxy                         ....................(1)

here, we find the interest for 'y' years

And for the Thank Bank, the interest would be,

I_T = x × 0.0ry × 1

I_T = I_B = 0.0rxy              ....................(2)

From (1) and (2),

I_B = I_T

Both the banks earn equal interest.

Therefore, Blank bank as well as Thank bank earn equal interest.

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Volume of Spheres find the volume

Answers

Step-by-step explanation:

Oke so basically we can calculate volume like this

1st: v=

[tex] \frac{4}{3} \times \pi \times r {3}^{?} [/tex]

Which equals:

[tex] \frac{4}{3} \times 3 \times {3}^{3} and \: it \: equals > 108 {\pi}^{3} [/tex]

Choose the angle name JWT

Answers

The angle with the name JWT is option (b)

How to determine the angle with the name JWT?

The name of the angle is given as

JWT

The above means that

Two lines JW and WT intersects at point W

The point of intersection of these lines is the name of the angle

From the list of given option, we have option (b) that has the above property

Hence, the angle with the name JWT is option (b)

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Find each product mentally using the Distributive Property. Show the steps that you used. For 6x13 in distributive property​

Answers

Using Distributive Property, the product of 6x13 is 78.

What is Distributive property?

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

The steps of distributive property are -

                                                 6 × 13

                                              6 × (10 + 3)

                                          (6 × 10) + (6 × 3)

                                  ((3 + 3) × (5 +5)) + ((3 + 3) × 3)

                 (3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))

                                     (15 + 15 +15 + 15 ) + (9 + 9)

                                                  60 + 18

                                                    = 78

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Which graph is the result of reflecting f(x) = (8)* across the y-axis and then across the x-axis?
--8-7-6-5-4-3
8
7-
6-

th
7
8
co t
7
6
10
5
4-
3
NW
2-
4-
1₁
2

Answers

Which graph results when f(x) = (8)* is first reflected across the y-axis and then across the x-axis?

Option 1 for Question 1

Option 1 for Question 2

Option 3 for Question 3

Option 1 for Question 4

Option 1 to Question 5

1) We subtract from any sequence to find the common difference d. For instance, =(-4) - (-15) = -4+15 = 11. Hence, choice 1. The answer for the sequence is (11).

2) In case a sequence is

The sequence's eighth term, then, will be = 25-24 = 1. Therefore, choice 1 is right.

Question #3: Any arithmetic series has the following explicit rule

As a result, choice three is right.

4. Reggie started off with 195 cards, and each week, 16 more cards are added.

In light of this query

There are 16 common differences in the sequence.

The order is going to be

the amount of cards will be after the 12th week.

Therefore, choice 1 is right.

5th query: If the sequence is

Then

and

The usual difference is 7-3 = 4.

Therefore

Choice 1. is the right response.

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Help!!! Please help urgently!

Answers

Answer:

x = 18

Step-by-step explanation:

25 + 20 = 45

Proportions:

45  ⇒ 50

20 ⇒ x

x = 45*20/50

x = 18

Shantira is thinking of a number n, and she wants her sister to guess the number. her first clue is that nine less than five times her number is at least six and at most twenty-one. write a compound inequality that shows the range of numbers that shantira might be thinking of

Answers

The value of the integer number n is greater than 5 and less than 9.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is use it to compare two statements.

Simplification is to make something easier to do or understand and to make something less complicated.

Shantira is thinking of a number n.

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

Let n be the integer number.

Then according to the condition,

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

24 < 6n - 6 < 48

Add 6, then

30 < 6n < 54

Divide it by 6

5 < n < 9

So the value of the integer number n is greater than 5 and less than 9.

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7-7+5x-5x+2+2x^2+2x
Combine like terms

Answers

Answer:

2x^2+2x+2

Step-by-step explanation:

7-7+5x-5x+2+2x^2+2x

ok first off i see 7-7, which is zero so we can leave that out

i also see 5x-5x which is also zero

now we have 2+2x^2+2x left, and to order it properly we put the number with the exponent and variable first, then the number with the variable, and then the number

so your final answer would be

2x^2+2x+2

i hope that helps! if you have any questions just ask!

I need help on my math
1/5 of x is 14
What is the x

Answers

X=70 because you gotta multiply 5 to each side

What is the constant term in the following expression?
4x - 2y + 3

Answers

The constant term in the expression is 3.

The expression is 4x ₋ 2y ₊ 3.

Here in this equation we have variables and constants.

variables = x and y whose coefficients are 4 and ₋2 respectively.

A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.

The above equation is in the form ax ₊ by ₊ c

An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.

Hence we get the constant term as 3.

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Please help me find the range because I am confused.

Answers

Answer: 33.81<=w<=33.91

Step-by-step explanation:

w=weight in ounces

33.86-0.05<=w<=33.86+0.05 ==> 0.05 weight difference form 33.86, the ideal weight.

33.81<=w<=33.91

What is
greater than
-3/8?

Answers

Answer:

give a situation where you are adapted a holistic view in looking at a problem or situation: my own

And nonnegative number would work. Ex. 1. 2, 3, 16.63.

Please help me answer all these 4 math questions! It is 8th-grade beginner level.
I will give Brainliest to the 1st one to answer ALL 4 questions and will give 100 points in this problem, giving people 50 points when they answer.

Answers

Answer:

Simplify the expression, Your answer would be :

1. [tex]\frac{9d}{e^{6} }[/tex]2. [tex]6d^{3}e[/tex]3.[tex]12de^{6}[/tex]

Step-by-step explanation:

And to find the Value of the following expression, Your answer would be :

[tex]\frac{36}{11}[/tex]

hopefully this helps you ! ~

A survey showed the 8 about of 20 home owners in a neighborhood had cable television . If there were 320 homeowners in the neighborhood, how many could be expected to have cable television

Answers

The number that could be expected to have cable television will be 138 people.

How to calculate the value?

From the information, survey showed the 8 about of 20 home owners in a neighborhood had cable television

Therefore, when there were 320 homeowners in the neighborhood, the number that could be expected to have cable television will be:

= 8/20 ×320

= 8 × 16

= 128

The number of people will be 128.

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How many zeroes are in the product of 40 × 10 7 ?

Answers

Answer:

Either, it's 2,800 and that would be 2 zeroes or it is 400,000,000 and that would be 8 zeroes

Step-by-step explanation:

40 x 10 x 7 = 2,800

40 x 10^6 = 400,000,000

Total 8 zeroes are in the product of 40 × 10⁷.

Let's step-by-step dissect the calculation and the total amount of zeros.

We are given the phrase  40 × 10⁷, where 10⁷ is defined as 10 multiplied by 7.

Step 1: Calculate 10⁷

10^7 means 10 raised to the power of 7, which is equal to 10,000,000 (10 million). This is because 10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000.

Step 2: Calculate the product 40 × 10⁷

Now, we multiply 40 by 10,000,000:

40 × 10,000,000 = 400,000,000

The product 400,000,000 has a total of 9 digits.

Instead of just looking at the overall number of digits, we are more concerned with the amount of zeros in the product.

Counting the zeros:

In the number 400,000,000, there are 8 zeros. These zeros come from the seven factors of 10 in the product 10⁷.

So, the product of 40 × 10⁷ has 8 zeros.

In conclusion, the result of 40 times 10 raised to the power of 7 is 400,000,000, which has eight zeros. This is so because every factor of 10 adds a zero to the final total.

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What is an equation of the line, in point-slope form, that passes through the point (9, -9) and has a slope of 4?

Please explain how to do this : )

Answers

[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{9}) \implies y +9= 4 (x -9)[/tex]

Answer:

m = 4

Step-by-step explanation:

slope = 4

Equivalent expression
4 x 6 x 7

Answers

Answer:

168

Step-by-step explanation:

4x6=24

24x7=168

How many posts does it take to support a straight fence 300 feet long if a post is placed every 25 feet?

Answers

12 posts are required to support a straight fence 300 feet long if a post is placed every 25 feet.

The given question can be solved using division. We are given that 25 feet is covered by 1 post. So, we will simply find the number of posts that will cover the 300 feet long fence. Now, calculating the number of posts as shown in steps below -

Number of post that covers 25 feet = 1

So,  300 feet will be covered by number of posts = (1÷25)×300

Performing multiplication and division to find the number of posts required to cover 300 feet long fence

Number of posts required to cover 300 feet long fence = 12 posts

Hence, 12 posts are required to cover 300 feet long fence.

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Need help before 10:30

Answers

Answer:  I will really try to get answers just wait

Step-by-step explanation:

Did Paul or pippa do it correctly

Answers

Triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC. (Translation: Pippa was right)

How to determine the scale factor to modify a right triangle

Herein we find a picture a graph with two proportional right triangles, which means that the small triangle is the consequence of a rigid transformation. The kind of rigid transformation used is a dilation around the origin, whose formula is shown below:

P'(x, y) = k · P(x, y)

Where k is the scale factor.

There is a dilation if and only if each point is scaled by the same factor. If we know that A(x, y) = (3, 9), A'(x, y) = (2, 6), B(x, y) = (9, 9), B'(x, y) = (6, 6), C(x, y) = (3, 3) and C'(x, y) = (2, 2), then the scale factor for each point is:

Point A

(2, 2) = k · (3, 3)

k = 2 / 3

Point B

(6, 6) = k · (9, 9)

k = 2 / 3

Point C

(2, 2) = k · (3, 3)

k = 2 / 3

Then, triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC.

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what distance in miles can you drive in your new Prius hybrid, if your car gets 56 miles per gallon and you have 15.5 gallons of gas? why was the passage included in the U.S. constitution. (We the people of the United States, in Order to form a more perfect Union, establish justice, ensure domestic tranquility, provide general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this constitution for united states of America A. to emphasize the principles that inspired the constitution. Or B. to list the rights guaranteed to individual citizens in the United States. Among people who immigrate before they are adults, self-esteem is related to acculturation in that:______ Several members of a self-help group are making t-shirts for the group to wear in a parade. this is an example of which element of group therapy? The _____ of a project is the total value of the benefits minus the total value of the costs, with both costs and benefits adjusted to reflect the point in time at which they occur. According to the growth-share matrix, __________ are high-share, high-growth products. when the market growth slows these products become __________. In pollen development in flowering plants, a haploid microspore produced via meiosis. As an example of the expansion of global marketing, oreos can be found in how many countries? Why did theFaraiz Movement fail Why do we expect satisfied employees to provide higher-quality service to customers? 3.Sarah wants to buy some fruit.She wants to buyand3 oranges at 30p each1kg apples at 1.20 per kg.2The only money Sarah has is one 50p coin and six 20p coins.She pays for the fruit.Work out how much money Sarah has left.You must show all your working. When calculating free cash flows to common equity shareholders, financing activities do not include? Although most money market securities are of low risk, they are not risk-free. true false They found that some mutations that each produced ____________ phenotypes separately yielded ____________ phenotypes when present together in the same dna. The nurse is assisting in preparing a plan of care for a child who is being adnitted to the pediatric unit with a diagnosis of seizures. which components would be included in the plan of care? The nurse is assessing a client who reports taking cholestyramine mixed with diet cola twice per day. what is the most appropriate nursing diagnosis for this client? What is Mr. White's "third and last wish"?. Help!!! Please help urgently! Please help me find the range because I am confused. Discuss the difference between respondent and operant conditioning, using examples for each.