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9966 [12]
3 years ago
5

Pleeeeeeeease Help ME Examine the following function.

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Answer:

2(x - 3)(x - 9)

Step-by-step explanation:

Given

f(x) = 2x² - 24x + 54 ← factor out 2 from each term

     = 2(x² - 12x + 27) ← factor the quadratic

Consider the factors of the constant term (+ 27) which sum to give the coefficient of the x- term (- 12)

The factors are - 3 and - 9 , since

- 3 × - 9 = + 27 and - 3 - 9 = - 12 , thus

x² - 12x + 27 = (x - 3)(x - 9) and

f(x) = 2(x - 3)(x - 9) ← in factored form

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If Jose's present age is 3n, how old will he be in 5 years?
KatRina [158]

Answer:

3n + 5

Step-by-step explanation:

You can't add 5 to 3n. So in 5 years he will 3n + 5.

7 0
3 years ago
Which of the following represents a weak positive correlation?a. -0.9b. 0c. +0.2d. +0.9
svetoff [14.1K]

Answer:

Option C) +0.2

Step-by-step explanation:

We are given the following information in the question:

Correlation:

  • Correlation is a technique that help us to find or define a relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
  • Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
  • Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

Thus, a weak positive correlation is given by correlation coefficient of Option C) +0.2

3 0
3 years ago
10. How many three-topping pizzas can be ordered from the list of toppings below? Did you calculate the number of permutations o
Nimfa-mama [501]

Step-by-step explanation:

Total numbers of pizza toppings = 12

Number of three topping pizzas can be ordered are:

P^{n}_{k}=\frac{n!}{(n-k)!}

where = n = number of elements

k = number of elements choosen

n= 12 , k = 3

\frac{12!}{(12-3)!} =\frac{12\times 11\times 10\times 9!}{9!}= 1,320

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.

8 0
3 years ago
Which expression is equal to<br> to (-10 – 2i) + (3 + i)?<br> 0 -7 ti<br> o – 13 –<br> 07-<br> -7-
solong [7]

Answer:

- 7 - i

Step-by-step explanation:

Given

(- 10 - 2i) + (3 + i) ← remove parenthesis

= - 10 - 2i + 3 + i ← collect like terms

= - 7 - i

3 0
3 years ago
A researcher interested in vocabulary development obtains a sample of twenty 3-year old children to participate in a research st
Andreyy89

Answer: b) statistic

Step-by-step explanation:

  • Population = A large groups of individuals sharing the same or similar characteristic by the point og study.
  • Sample  = It is a subset of population .
  • Parameter = It is measure of characteristic in population.
  • Statistic =  It is measure of characteristic in sample.

Since the average score was taken by the group of 20 which is nothing but the sample.

That means, the average score is an example of<u> statistic</u>.

Hence, the correct option is b) statistic .

4 0
3 years ago
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