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Rama09 [41]
2 years ago
14

HELP :)

Mathematics
1 answer:
juin [17]2 years ago
3 0

The domain and range of each given relation is:

1. Domain - {3, 4, 5, 6, 7}

Range - {5, 15, 20, 25, 30}

2. Domain - {-1}

Range - {2, 4, 6, 8, 10}

3. Domain - {-6, -5, -3, -2}

Range - {1, 0, -1, -2, -3}

<h3>What is the Domain and Range of a Relation?</h3>
  • A pair of values of a relation is represented as (x, y).
  • The domain of a relation consists of all x-values.
  • Range consist of all y-values.

Thus, the domain and range of each given relation is:

1. Domain - {3, 4, 5, 6, 7}

Range - {5, 15, 20, 25, 30}

2. Domain - {-1}

Range - {2, 4, 6, 8, 10}

3. Domain - {-6, -5, -3, -2}

Range - {1, 0, -1, -2, -3}

Learn more about relation on:

brainly.com/question/1579288

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Answer:

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Step-by-step explanation:

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Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively
soldier1979 [14.2K]

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

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