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ad-work [718]
2 years ago
7

Solve the following by completing the square y=x^2+10

Mathematics
1 answer:
natta225 [31]2 years ago
4 0

The resulting equation on using the completing the square is y = (x+5)² - 25

<h3>Completing the square method</h3>

The quadratic equation has a leading degree of 2. Given the equation below;

y = x^2+10x

Add the square of the half of coefficient of x to have;

y = x^2+10x + (10/2)²- (10/2)²
y = x^2 + 10x + 5² - 5²

y = x^2 + 10x  + 25 - 25

y = (x+5)² - 25

Hence the resulting equation on using the completing the square is y = (x+5)² - 25

Learn more on completing the square here: brainly.com/question/1596209

#SPJ1

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Reasonableness Is the product of 6×2×4 less than 50? Explain
Svetach [21]
The product of 6x2x4 is 48 because 6x2 is 12 and then that times 4 is 48. So the product is less than 50
6 0
3 years ago
Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal pl
kvasek [131]

Answer: Mean = 7.8

              Median = 9

             Mode = 2,9

Step-by-step explanation: <u>Mean</u> is the average value of a data set. Mean from a frequency table is calculated as:

E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

<u>Median</u> is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: \frac{n+1}{2}

\frac{n+1}{2}=\frac{47}{2} = 23.5

Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

<u>Mode</u>  is the number or value associated with the highest frequency.

In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

7 0
3 years ago
Pls help!! <br>Find h. 10 cm h h = ✓ [?] cm .... 6 cm Enter​
OLEGan [10]

Answer:

h = √91 cm

Step-by-step explanation:

Apply pythagorean theorem, a² + b² ° c².

Where,

a = ½(6) = 3 cm

b = h

c = 10 cm

Plug in the values

3² + h² = 10²

9 + h² = 100

9 + h² - 9 = 100 - 9

h² = 91

h = √91 cm

4 0
2 years ago
Read 2 more answers
What was the problem at kenya airways described in this case? what management, organization, and technology factors contributed
MatroZZZ [7]

The management, organisation, and technology factors contributed to this problem are listed below.

<h3>What was the problem at Kenya Airways ?</h3>

The  problem in the airways was that corporation didn't know its customers, the airline hasn't been able to take use of its market opportunity in recent years.

Airways was unable to evaluate and keep track of its marketing efforts.

The technology factor that contributed were:

  • No reliable systems for tracking and accounting.
  • The technology used was neither accurate nor consistent.

The Organisation factors that contributed were

  • No communication between the organisation and the customers
  • No track record of the online campaigns and advertisement output
  • Customer Relations Needed to be improved.

The Management factors that contributed were

  • The management never gave reviews to the organisation about the failing system
  • The management even didn't take reviews from the customers and from the people working.

To know more about  problem at Kenya Airways

brainly.com/question/27974672

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8 0
1 year ago
Sarah and Jean were able to sell 4 dozen of cupcakes in a hour at a school fair if this rate continue how many dozen s of cupcak
Alik [6]

Answer:

Step-by-step explanation:

Firstly,

We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:

There are 8 hours between 9am and 5pm

∴ It is 48:1

That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other

So if it is 48:1 then x:8 with be = 48x8

∴ Sarah and Jean will be able to sell 384 cupcakes

7 0
2 years ago
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