Use completing the square to solve this quadratic equation.
Check all that apply.
x2 + 6x + 9 = 2
A. x = 3 + 4/5
B. x= -3 +2
c. x= 3 - 5
D. =-3-

Use Completing The Square To Solve This Quadratic Equation.Check All That Apply.x2 + 6x + 9 = 2A. X =

Answers

Answer 1

Step-by-step explanation:

x² + 6x + 9 = 2

(x + 3)² = 2

x + 3 = ±sqrt(2)

x = -3 ± sqrt(2)

so, B and D are correct.

control :

(-3 + sqrt(2))² + 6(-3 + sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2

2 = 2

correct

(-3 - sqrt(2))² + 6(-3 - sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2

2 = 2

correct

(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2

38 + 12sqrt(2) = 2

wrong.

(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2

38 - 12sqrt(2) = 2

wrong.


Related Questions

find the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2

What is determinant ?

Answers

Answer:

In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.

Answer:

It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.

What is the equation of the line that passes through the point (2,-6)(2,−6) and has a slope of -1−1?

Answers

Answer:

y=-x-4

Step-by-step explanation:

Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.

Answers

Answer:

7.3*

Step-by-step explanation:

do the inverse:

22/3=7.3*

*=recurring

The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768

Answers

Answer:

See below

Step-by-step explanation:

The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°

The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°

The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places

We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.

Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.

The null hypothesis is rejected since the p-value shows that it is unlikely to be true.

What is the hypothesis?

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

As per the given question, the required solution would be as:

A) Hypothesis test :

The null and alternative hypothesis is

Hi : u = 98.6

Ha : u < 98.6

B) Test statistic is t = -3.831

C) sample size, n= 31

degree of freedom,

df = n -1 = 31 - 1 = 30

P-value = p(t < -3.831 )

= 0.0003 (from t table)

d) P-value < 0.10, reject the null hypothesis.

is, support

As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.

Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.

To learn more about the hypothesis click here:

https://brainly.com/question/18064632

#SPJ2

find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17​

Answers

Answer:

I think these are the answers

a) 3

b) 1

c) 1

The LCM of 3 and 18 is 18.

Help,
Is the following triangle acute, obtuse, or a right triangle

Answers

Answer:

Right-as long as it has one right angle it is a right triangle. It actually can't have more than one right angle.

Step-by-step explanation:

It’s a right triangle.

the decimal equivalent of 14/26

Answers

Answer:   0.53846153846154

Step-by-step explanation:   you do

= 14/26

= 14 ÷ 26

= 0.53846153846154

What is the value of x in the equation 4(2x – 8) = 8(4x + 2)?

Answers

Answer:

x=-2

Step-by-step explanation:

4(2x – 8) = 8(4x + 2)

Distribute

8x -32 = 32x+16

Subtract 8x from each side

8x-32 -8x = 32x+16-8x

-32 = 24x+16

Subtract 16 from each side

-32-16 = 24x+16-16

-48 = 24x

Divide by 24

-48/24 = 24x/24

-2 =x


You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for :
days of work?

Answers

Answer:

92 dollars each luv:)

Step-by-step explanation:

Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?

Answers

Andrew's charges is an illustration of a linear function

The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

From the table (see attachment), we have the following points

(x,y) = (1,57) and (2,69)

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]

Simplify fraction

[tex]\mathbf{m = \frac{12}{1}}[/tex]

Divide

[tex]\mathbf{m = 12}[/tex]

The equation is then calculated using:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 12(x - 1) + 57}[/tex]

Open brackets

[tex]\mathbf{y = 12x - 12 + 57}[/tex]

Evaluate like terms

[tex]\mathbf{y = 12x +45}[/tex]

Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

Read more about linear equations at:

https://brainly.com/question/20286983

The school store sells Midville High T-shirts for $12 each and Midville High gym shorts for $9 a pair. One afternoon they sold a total of 53 T-shirts and pairs of shorts for a total of $570 . How many T-shirts did they sell and how many pairs of shorts did they sell?

Answers

Answer:

The store sold 21 T-shirts and 18 pairs of shorts.

Step-by-step explanation:

x = the number of T-shirts sold

y = the number of pairs of shorts sold

x + y = 53

12x + 9y = 570

x = 21 T-shirts

y = 18 shorts

When  x=3, the value of x^2-2 is?​

Answers

Answer:

7

Step-by-step explanation:

First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .

Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it

Answers

Answer:

She could out 20 necklaces and 20 bracelets on display and she would make $600.

Step-by-step explanation:

$18 necklaces x 20= $360

$12 bracelets x 20 = $240

totalling $600


Sketch the graph of each line by identifying the x-and y-intercepts.

Answers

Straight line at y=5
And goes all the way from -inf to +inf of the x-axis and doesn’t intersect with x-axis

Find the slope of the line x=+6

Answers

Step-by-step explanation:

x = 6

is a straight vertical line (parallel to the y-axis, going through x=6 on the x-axis).

it's slope is therefore undefined (infinite). every possible y value (from -infinity to +infinity) is associated with this one x value (6).

help need it done for tomorrow ​

Answers

Step-by-step explanation:

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite to the angles.

so,

14/sin(80) = x/sin(60)

x = 14×sin(60)/sin(80) ≈ 12.3cm

Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?​

Answers

Answer:

90$

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

$15 + $39 + $18 + $27 = $99

$189 - $99 = $90

Hope this helps <3

Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

#2

vertical angles theorem

#3

Third angle therom

#4

Definition of congruence

#5

Reflexive

#6

Definition of bisect

#7

SAS

Step-by-step explanation:

Missing reasons:

2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSS

Which pair of functions are inverses of each other?

Answers

Answer: c ic the answer

c is the answer

Step-by-step explanation:

c is the answer

h(x)=2x+5 for h(x+3)
solve for h(x+3)
pls help aaaaaaaaaaaa i

Answers

Answer:

According to transitive Property of equality :  If a =b and b = c then a = c

In this problem you are given with 2 equations:  

                                h(x) = - 2x + 5  ---- 1

                                h(x) = 3           ------ 2

Apply transitive Property of equality to equation 1 and 2

      - 2x + 5       =  3                     Now solve for x.  

      -2x  + 5 - 5   =  3 – 5           subtract 5 on both sides.

                   -2x  = -2                              

   (-2x)/(-2) = (-2) / (-2)        Divide with -2 on both sides.

              X = 1

Step-by-step explanation: I hope this helps.

3(x+2)=5x-7
Work out value of x

Answers

Answer:

first distribute:

3x+6=5x-7

then combine the x's:

-2x+6=-7

get rid of the 6:

-2x=-13

divide the 2:

6.5

Step-by-step explanation:

Answer:

x = 13/2

Step-by-step explanation:

3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2

What is the degree of angle o?
Show work

Answers

180 - 78 = 102 hope this help
180-78 and you get the degree for angle n and use 180-24-n then you’ll get the degree of angle o

what is the solution set of the equation set 3|5-x|+2=29 ?

Answers

Answer:

Answer: x = - 4 or x = 14.

Step-by-step explanation:

Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.

100 points if u get this right ty bye now!

Answers

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.

A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes

Answers

Answer:

29.4 minutes represents the 60th percentile

Step-by-step explanation:

Given :  The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.

To Find : Which time represents the 60th percentile?

 19.6 minutes

26.6 minutes

29.4 minutes

36.4 minutes

Solution:

time represents the 60th percentile

Means  60 % data = 0.6 below this

from z table ,  z score for this =  0.253

z score  = ( Value - Mean ) / SD

=> 0.253  = ( Value - 28 ) /5.4

=> 1.3662  =  Value - 28

=>  Value = 29.3662

=>  Value = 29.4

29.4 minutes represents the 60th percentile

Q8. the distance between two villages is 12875km. Express the distance in standard form.​

Answers

Answer:

1.2875 × 10^4

Step-by-step explanation:

Camelle manages her soccer team. she needs to order 4 practice jerseys for each player. There are y players how many total practice jerseys does she need to order?

write and expression

Answers

Answer:

T= total # of jerseys to order

y= # of players

T= 4*y

Total equals 4 times # of players

T= 4y

SOMEONE TELL ME WHAT THIS IS PLEASE ( much appreciated if you do help with this question )

Answers

Answer:

6x^8 y^5

Step-by-step explanation:

What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x

Answers

hope this help

pls mark as brainliest

Other Questions
Sand is composed mostly of ____ and is used to make glass, bricks, and concrete for the construction of roads and buildings. PLEASE HELP WITH THIS ONE QUESTION Qu verbo que est en subjuntivo forma parte de una subordinada adjetiva?A) gustarB) cocinarC) serD) preparar If oligopoly firms decide to work together, either formally or informally, and honor the agreement then profits can be ________ by ________ output and ________ the price of goods and services. maximized; increasing; increasing maximized; increasing; increasing maximized; reducing; increasing maximized; reducing; increasing minimized; reducing; increasing Do the following tasks by the help of STATA software. You need to devote first 30 minutes of your time for these tasks.a)Use auto.dta which is an example dataset for this question. The study claims that average price of foreign cars is more than average price of domestic cars. Check validity of this claim by using dataset. Explain and mention all steps that are necessary for decision. (4 points)b)Use nlsw88.dta. Find the standard deviation, the mean and the number of observation of age variable (age) for the people who work less than 32 hours (hours variable) or wage is greater than 10. (4 points)c)Open example datasets that we have in the memory of STATA and choose lifeexp.dta. Find the standard deviation, the mean and the number of observation of safewater variable (safewater) for the countries with GNP variable (gnppc) greater than 5000 and life expectancy (lexp) is greater than 55. (4 points)d)Open example datasets that we have in the memory of STATA and choose lifeexp.dta. We have 6 different variables in this dataset. Which variable has string values? Which STATA command is used in order to find the string values in dataset? What are the effects of large amount of string values in dataset? 5which ratio is greater than 5/812/243/415/244/12 According to recent research, 91 percent of businesses with 11 or more employees and 50 percent of those with 10 or fewer employees said they had a CRM system already in place, which represents impressive growth in usage over previous years. I need help quickly y-3=1/2(x-7)PLS HELP ME OUT GUYS Use your knowledge of management communications to select the three missing labels from the following image.WORD BANKStrategic ConversationsMethodsPurpose-Directed The banking crisis of 2008 is quite interesting to analyze. The factors that led to this near banking collapse are intriguing to say the least. In this exercise you will be evaluating the factors that led up to the crisis and determining which ones could have created this scenario.There is no simple answer to what led to the banking crisis, as there were many factors that contributed over a long period of time. Understanding the factors that led to the crisis is very important, as such an understanding will help regulators prevent similar situations in the future.Please analyze the factors that are given to determine which ones could have potentially worked together to have created the banking crisis of 2008, and then place each factor in the category of either Major Contributor or Little or No Contribution. que se siente ser feliz solamente cuando tomas letra The CIA is the only agency in the UnitedStates government to have what designation?A. The agency is above the law of the U.S. Constitution.B. The agency does not have to report any of its activity toCongress.C. The agency works on behalf of the U.S. Supreme Court.D. The agency is the only one which acts on the direction of theU.S. President. How do you find function f for piecewise function. The lower the temperature, the fewer crimes tend to occur. From the perspective of research methods, what does this mean Which gas is produced as a result of cellular respiration. "the product of negative three and x" When normalizing, the goal is to decompose relations with anomalies to produce smaller, well-structured relations. True false. sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ? For every $100 Oliver gets paid, Oliver donates $25 to charity. How much will he have donated if he earns $2,000? Which number sentence is true?