solve for completing the square x^2-12x+11=0

Answers

Answer 1

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex]                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5


Related Questions

A true/false test has 20 questions on it. What is the probability that you get at least 18 right by purely guessing?

Answers

Answer:

I would say if your lucky 6/20 but if not 4/10

Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of apples does she have?

Answers

4 1/2 + 3 1/4 + 2 1/4 = 10 pounds of apples.

10 pounds is approximately 4.5 kilograms.

Salma made $143 for 11 hours of work. How much for 8 hours of work?

Answers

Answer:

140 dollars salma made if she worked for 8 hrs long

Answer:

104

Step-by-step explanation:

143 = 11 hours

143/11 = 1 hour

13= 1 hour

13 × 8 = 104

104

please mark me as brainliest.

Hello, i need some help for questions 2-5 please

Answers

Answers:

4. =9.999........

Examplantion :

5×2÷3=9.99999..........

como se escribe 654,007,000 en letra​

Answers

Answer:

seiscientos cincuenta y cuatro millones siete mil

Rory has 5 pounds of ground turkey to make meatballs. He uses 5/8 pound per meatball to make 7 meatballs. How many 1/8 pound meatballs can Rory with the remaining turkey?

Answers

Answer:

4/8

Step-by-step explanation:

because

express the f.f as fraction
0.454545​

Answers

Answer: 5/11

Step-by-step explanation:

Joe's employer will reimburse him $0.17 per miles driven. If Joe drives 104.43 miles on a business trip, what is his mileage reimbursement?

Answers

Answer:

17.75

Step-by-step explanation:

You can rewrite the sentence as

$0.17*104.43=

Which is  17.7531

Round it money which is 17.75

Therefore 17.75 is your answer

Hope this helps!

Caleb wants to rent a kayak. Kayak rentals cost $91.61 for a half hour. If Caleb rents a kayak for 2.9 hours, how much will it cost him?

Answers

Answer:

$265.669

Step-by-step explanation:

$91.61 times 2.9 equals 265.669, therefore it would cost him $265.669. Round up/down if needed.

HELPS! TYS IF U DOESSSSS
I WILL GIVE BRAINILEST!!!!!!!!!

Answers

Answer:

C. HI my other account:P

Step-by-step explanation:

Which function is the inverse of the function f(x) = 4x2 + 10, if the domain of f(x) is x 2 0?

Answers

Step-by-step explanation:

inverse = √((x-10)/4)

that is the answer

Answer:

Step-by-step explanation:

PLZ ANSWER WILL GIVE BRAINLYEST!!!!
What are the x and y-intercepts of the line described by the equation?

3x−9y=10.8
Question 2 options:

x-intercept = 1.2

y-intercept = -3.6


x-intercept = -1.2

y-intercept = 3.6


x-intercept = -3.6

y-intercept = 1.2


x-intercept = 3.6

y-intercept = -1.2

Answers

Answer:

x-intercept = 3.6

y-intercept = -1.2

Step-by-step explanation:

the general solution of the equation cos3x +cos2x =sin3x/2 + Sinx/2 is​

Answers

Answer:

I am doiiiiiiinnnnggg just wait

Which expression is equal to x + 5 + 5x + 10 + 2y? *

Answers

Answer:

x + 5 + 5x + 10 + 2y = 6x + 2y + 15

Step-by-step explanation:

Group like terms

= x + 5x + 2y + 5 + 10  

Add the number 5 + 10 = 15  

= x + 5x + 2y + 15

Add similar elements x + 5x = 6x  

= 6x + 2y + 15

Have a good day :)

Use rounding to the nearest whole number to estimate the product

4 1/4 • 7 9/17

A) About 32
B) About 35
C) About 40
D) About 25

Answers

Answer:

A) About 32

Step-by-step explanation:

4 1/4 • 7 9/17

The first one is rounded down as 1/4 < 1/2 and the second one rounded up as 9/17 > 1/2.

4 * 8 = 32

Correct choice is A

4 1/4=17/47 9/17=128/17

Product

17/4(128/17)128/432

Option A

In a class of 40 students, 14 students wore blue jeans.
-Write the ratio cf students wearing blue jeans to those not wearing blue jeans.

Answers

Answer: 14:26

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Help please thank you

Answers

Mistake is both the numbers were added. After multiplication, it becomes 3.3 * 10^8

Use the results from a survey of a simple random sample of 1176 adults. Among the 1176 respondents, 77% rated themselves as above average drivers. We want to test the
claim that
7/10 of adults rate themselves as above average drivers. Complete parts (a) through (c)
a. Identify the actual number of respondents who rated themselves as above average drivers
(Round to the nearest whole number as needed)

Answers

Using the sample data to test the hypothesis, we have that:

The actual number of respondents who rated themselves as above average drivers is 906.The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

77% of the sample of 1176 adults rated themselves as above average drivers, that is:

[tex]0.77(1176) = 906[/tex].

Thus, the actual number of respondents who rated themselves as above average drivers is 906.

At the null hypothesis, we test if the proportion is [tex]\displaystyle \frac{7}{10} = 0.7[/tex], that is:

[tex]H_0: p = 0.7[/tex]

At the alternative hypothesis, we test if the proportion is greater than 70%, that is:

[tex]H_1: p \geq 0.7[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested.n is the size of the sample.

In this problem, the parameters are [tex]\overline{p} = 0.77, p = 0.7, n = 1176[/tex].

Thus, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}[/tex]

[tex]z = 5.24[/tex]

The p-value of the test is the probability of finding a sample proportion above 0.77, which is 1 subtracted by the p-value of z = 5.24.

Looking at the z-table, z = 5.24 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

A similar problem is given at https://brainly.com/question/24330815

When the mortgage is completely paid off your house, it will be 5 times as old as it is now. If you have 28 years left on the mortgage, how old is the house now?

Answers

Well this will depend on if you have a 30 year mortgage and if there is 28 years left you paid 2 years only. 0.214


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2/3u. 4/2u².3=

Answers

Answer:

4u³

Step-by-step explanation:

2/3u × 4/2u² = 4/3u³

4/3u³ × 3/1 = 4u³

Answer:

4u³

Step-by-step explanation:

[tex]2/3u*4/3u^2*3=[/tex][tex]2/3*4/2*3u^{1+2}=[/tex][tex]4u^3[/tex]

Based on your equation, what was the car’s approximate initial velocity (at time=0)?

Answers

From the intercept of the line of best-fit, the car’s approximate initial velocity was of 5.7 m/s.

How to find the equation of linear regression?

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

For this problem, the input and the output are defined as follows:

Input: Time in seconds.Output: Velocity in m/s.

Hence the points are given by:

(2, 13.1), (4, 19.8), (6, 28.1), (8, 34.6).

Using these points and a calculator, the equation is:

v = 3.64s + 5.7

The intercept of 5.7 represents the initial velocity in m/s.

A similar problem, also involving a line of best-fit, is given at https://brainly.com/question/22992800

#SPJ1

The perimeter of a rectangle downtown courtyard is 174 feet. The width of the rectangle is twice the length. Find the length and width of the rectangle?

Answers

Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

   2W + 2L = 174

2(2L) + 2L = 174

            6L = 174

              L = 29 ft

W = 2(29) = 58 ft

3 ice cream cones cost $ 8.25

At this rate , how much do 2 ice cream cones cost ?

Answers

Answer:

The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.

Step-by-step explanation:

Answer:

5.50

Step-by-step explanation:

8.25 divided by 3 =2.75

Then take 2.75 and multiply it by 2 and you get your answer which is 5.50

Help please i just wanna pass

Answers

The answer is 741. But pls trust me that is what I got

What did James earn this pay period? (use pay stub) *
1 point
$1451.28
$1000.00
$709.74

Answers

make a purchase, then the statement is true.
If you just leave the balance <> to 0 and don't purchase anything more, the interest just keeps on building up. It is the surest way to get into financial trouble.

Please helppppppppppppp!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

558

Step-by-step explanation:

The sum of the first n numbers is ½n(n + 1)

which is the left most number in each row number n

so finding the row containing 526

½n(n + 1) > 526

½n² + ½n > 526

n² + n > 1052

n² + n - 1052 > 0

n > (-1 + √(1² - 4(1)(-1052))) / 2(1)

n > 31.938

so 526 is almost to the end of the 32 row.

The end of that row is ½(32(33)) = 528

so 526 resides two spaces to the right of 528

The end of the row below it, row 33, is ½(33)(34) = 561

As each row is one number longer than the previous row, we count back

2 + 1 = 3 numbers from the end to find what is under 526

561 - 3 = 558

PLZ HELP ME SOMEONE!!!

Answers

Answer:

131

Step-by-step explanation:

Hope this helps

Answer:

the answer is 130.9 round it up and you get 131

Step-by-step explanation:

Can someone please show a piece of paper or ex’s plum how you do h point?

Answers

Answer:

(-1,-1)

Step-by-step explanation:

well a square has four sides and they are all equal so it would have to be (-1,-1) for the sides to be equal

please ans very easy question​

Answers

Answer:

what is the question please tell me on comment

representation of the function f(x)=-2x2+8x-6

Answers

X-intercepts: (1,0), (3,0)
Y-intercepts: (-6,0)
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