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bixtya [17]
3 years ago
14

Factorise: (x - 2y)2 - 12(x - 2y) + 32

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Hi there.

The answer is (x-2y-8)(x-2y-4)

Explanation:

(x - 2y)^{2}  - 12(x - 2y) + 32

Let (x-2y) = x

{x}^{2}  - 12x + 32

Then factor the quadratic polynomial by 2 brackets factoring.

(x - 8)(x - 4)

Then convert x to (x-2y)

(x - 2y - 8)(x - 2y - 4)

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Determine whether the variable is qualitative or quantitative.
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Answer:

Qualitative variable

A. The variable is qualitative because it is an attribute characteristic.

<h2>What are Quantitative and Qualitative variables?</h2>

A qualitative variable is one in which the "true" or naturally occurring levels or categories taken by that variable are not described as numbers but rather by verbal groupings.

  • Example: levels or categories of hair color (black, brown, blond)

A quantitative variable on the other hand are those in which the natural levels take on certain quantities (e.g. price, travel time)

  • That is, quantitative variables are measured in some numerical unit (eg. pesos, minutes, inches, etc.)

<h2>How is hair color a qualitative variable?</h2>

Because hair color is a categorical variable, it is a qualitative variable too. This is because hair color can be put into different categories depending on the color of someone or something's hair. Someone could have blond, brown, or black hair; they might even have red hair. It's all different and are attributed characteristic, they are all put into different categories, but can only be measured statistically while remaining constant (with different amounts).

<h2>What is a numerical variable and what is a categorical variable?</h2>

A categorical variable is a category or type. For example, hair color is a categorical value or hometown is a categorical variable. Species, treatment type, and gender are all categorical variables.

A numerical variable is a variable where the measurement or number has a numerical meaning. For example, total rainfall measured in inches is a numerical value, heart rate is a numerical value, number of cheeseburgers consumed in an hour is a numerical value.

<em>A categorical variable can be expressed as a number for the purpose of statistics, but these numbers do not have the same meaning as a numerical value. </em>For example, if I am studying the effects of three different medications on an illness, I may name the three different medicines, medicine 1, medicine 2, and medicine 3. However, medicine three is not greater, or stronger, or faster than medicine one. These numbers are not meaningful.

Learn more about qualitative and quantitative variables:

  • brainly.com/question/14037311
  • brainly.com/question/17226865

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