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enyata [817]
3 years ago
6

Find the geometric mean between 4 and 1/4. Show your work.

Mathematics
1 answer:
Darya [45]3 years ago
3 0

Answer:

2.125

Step-by-step explanation:

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Read 2 more answers
Factor completely 15x2 - 6x + 5xy – 2y
vagabundo [1.1K]

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Step-by-step explanation:

If we have an expression of four terms, then we factorize it by using

the grouping factorization

In grouping factorization we do that

1. Collect each two terms with common factors into 2 brackets

2. Take the common factor from each bracket, which make the brackets

    equal each other

3. Take the bracket as a common factor, the answer will be 2 factors

    multiply by each other

∵ The expression is 15x² - 6x + 5xy - 2y

- Take the first 2 terms in a bracket and the last 2 terms in another

  bracket

∴ (15x² - 6x) + (5xy - 2y)

∵ The common factor of 15x² and 6x is 3x

- Divide each term by 3x

∵ 15x² ÷ 3x = 5x

∵ 6x ÷ 3x = 2

∴ (15x² - 6x) = 3x(5x - 2)

∵ The common factor of 5xy and 2y is y

- Divide each term by the common factor y

∵ 5xy ÷ y = 5x

∴ 2y ÷ y = 2

∴ (5xy - 2y) = y(5x - 2)

∴ (15x² - 6x) + (5xy - 2y) = 3x(5x - 2) + y(5x - 2)

∵ The bracket (5x - 2) is a common factor of the two terms

- Divide each term by the common factor (5x - 2)

∵ 3x(5x - 2) ÷ (5x - 2) = 3x

∵ y(5x - 2) ÷ (5x - 2) = y

∴ 3x(5x - 2) + y(5x - 2) = (5x - 2)(3x + y)

∴ 15x² - 6x + 5xy - 2y = (5x - 2)(3x + y)

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Learn more:

You can learn more about the factors in brainly.com/question/10771256

#LearnwithBrainly

4 0
3 years ago
Which of the following table represents a function? Please help! Will make brainliest
OlgaM077 [116]

Answer:

Last one at the bottom

Step-by-step explanation:

Recall that for a function to be valid, each input (x-value) must give exactly one unique output (y-value). If we find that any x-value gives more than one y-value, then it is not a function.

Option 1: x = 3 gives y = 2 and y = -2 (not a function)

Option 2: x = 5 gives y = 2 and y = 8 (not a function)

Option 3: x = 3 gives y = 4 and y = 5 (not a function)

Option 4: each x-value gives only one possible y-value (this is a function)

5 0
3 years ago
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