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wariber [46]
3 years ago
7

What number must be added to the expression below to complete the square? x2 - 11x

Mathematics
2 answers:
mart [117]3 years ago
5 0

Since we are to complete the square, therefore I believe the correct given should be:

x ^ 2 – 11 x

Take note of the symbol ^ which denotes that 2 is an exponent of x.

The general form of a binomial equation is in the form of:

a x^2 + b x + c

Where in this case:

a = 1

b = -11

c = unknown

To complete the square, we have to find for the value of c. This is calculated using the formula:

c = (b / 2) ^ 2

c = (-11 / 2) ^ 2

c = 30.25

Therefore the complete equation is:

<span>x ^ 2 – 11 x + 30.25</span>

Contact [7]3 years ago
4 0

30.25 is correct but apex asks for a fraction so 121/4

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Rus_ich [418]

Answer:

4

Step-by-step explanation:

6 0
2 years ago
Plz help me with this two question
alekssr [168]
Part A:

3.14 X (4)^2 X 3/3
= 50.26548246
5 0
2 years ago
Read 2 more answers
Algebra 2 Standard Deviation
Illusion [34]

Answer:

don't have answer but have how to do them

Step-by-step explanation:

What are z-scores?

A z-score measures exactly how many standard deviations above or below the mean a data point is.

Here's the formula for calculating a z-score:

z=\dfrac{\text{data point}-\text{mean}}{\text{standard deviation}}z=  

standard deviation

data point−mean

​  

z, equals, start fraction, start text, d, a, t, a, space, p, o, i, n, t, end text, minus, start text, m, e, a, n, end text, divided by, start text, s, t, a, n, d, a, r, d, space, d, e, v, i, a, t, i, o, n, end text, end fraction

Here's the same formula written with symbols:

z=\dfrac{x-\mu}{\sigma}z=  

σ

x−μ

​  

z, equals, start fraction, x, minus, mu, divided by, sigma, end fraction

Here are some important facts about z-scores:

A positive z-score says the data point is above average.

A negative z-score says the data point is below average.

A z-score close to 000 says the data point is close to average.

A data point can be considered unusual if its z-score is above 333 or below -3−3minus, 3. [Really?]

Want to learn more about z-scores? Check out this video.

Example 1

The grades on a history midterm at Almond have a mean of \mu = 85μ=85mu, equals, 85 and a standard deviation of \sigma = 2σ=2sigma, equals, 2.

Michael scored 868686 on the exam.

Find the z-score for Michael's exam grade.

\begin{aligned}z&=\dfrac{\text{his grade}-\text{mean grade}}{\text{standard deviation}}\\ \\ z&=\dfrac{86-85}{2}\\ \\ z&=\dfrac{1}{2}=0.5\end{aligned}  

z

z

z

​  

 

=  

standard deviation

his grade−mean grade

​  

 

=  

2

86−85

​  

 

=  

2

1

​  

=0.5

​  

 

Michael's z-score is 0.50.50, point, 5. His grade was half of a standard deviation above the mean.

Example 2

The grades on a geometry midterm at Almond have a mean of \mu = 82μ=82mu, equals, 82 and a standard deviation of \sigma = 4σ=4sigma, equals, 4.

Michael scored 747474 on the exam.

Find the z-score for Michael's exam grade.

\begin{aligned}z&=\dfrac{\text{his grade}-\text{mean grade}}{\text{standard deviation}}\\ \\ z&=\dfrac{74-82}{4}\\ \\ z&=\dfrac{-8}{4}=-2\end{aligned}  

z

z

z

​  

 

=  

standard deviation

his grade−mean grade

​  

 

=  

4

74−82

​  

 

=  

4

−8

​  

=−2

​  

 

Michael's z-score is -2−2minus, 2. His grade was two standard deviations below the mean.

https://www.khanacademy.org/math/statistics-probability/modeling-distributions-of-data/z-scores/a/z-scores-review

this should help

6 0
3 years ago
I think of a number, multiply it by 2 and add 1. My<br> answer is 15. What number was I thinking of?
Yanka [14]

Answer :: 7

<em>Explanation </em>::

Okay, I'm going to stretch this explanation long so people can understand! Hopefully this helps :) I will also provide a shorter explanation so if people want to find out how to do it quicker without details to help you understand better, they can read the shorter explanation!

- long explanation -

Equation provided from the info :: (x * 2) + 1 = 15

We need to find out what number is the x. First of all, one way to do it is do the equation backwards. And the operators will be the opposite too, for example addition is the opposite of subtraction and multiplication is the opposite of division. Now once we flip the equation it should look like this:

(15 - 1) / 2 = x

Let's break the equation apart so it's easier to work with. Remember, the rule PEMDAS. Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. Why I put "and" between some words, is because they are the same level and you should go left to right from the equation. So the equation in parentheses is (15 - 1). So we just have to solve it! The answer is 14, which is an even number, so we don't have to fiddle with decimals. But if you want to know how to divide an odd natural number, feel free to comment on this answer! The equation should look like this:

14 / 2 = x

Now, all we have to do now is divide 14 in half! As someone who memorised their whole multiplication and division table, it's easy for me to figure it out. But if you haven't, try using addition! All you have to do is count up your numbers.

1 + 1 = 2

2 + 2 = 4

3 + 3 = 6

4 + 4 = 8

5 + 5 = 10

6 + 6 = 12

7 + 7 = 14!

So now we know 14 / 2 is 7. Sorry if this is too easy, I'm just giving attention to some who learn slowly, which is absolutely alright! So now we have our 2 answers. The equation now looks like this:

14 / 2 = 7.

Well we now know what the x is, and if you want to make sure it's the correct answer just flip the equation!

(7 * 2) - 1

7 * 2 = 14

14 - 1 = 15

Your answer is the same one provided, so the number is 7!

- short explanation -

The equation with the numbers provided is (x * 2) + 1 = 15

Let's flip the equation so it's easier! It should look like this:

(15 - 1) / 2 = x

Now all we have to do is solve it!

15 - 1 = 14

14 / 2 = 7

So our answer is 7! To check if the answer is correct, just re-do the unflipped equation!

(7 x 2) + 1 = ??

7 x 2 = 14

14 + 1 = 15

15 is the answer given in the text, so 7 is the correct answer.

5 0
2 years ago
Hi, can someone please help with number 1 and number 2. Thank you.
jok3333 [9.3K]

Answer:

answer for 1. is 95

answer for 2. is 14.8

Step-by-step explanation:

8 0
3 years ago
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