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3 years ago

Simplify the expression below.

Mathematics

1 answer:

Degger [83]3 years ago

6 0

Answer:

6x^2 +8x

Step-by-step explanation:

(12x^3 -14x^2 -40x) / (2x-5)

Factor the numerator by factoring out the greatest common factor

2x( 6x^2 -7x-20) / (2x-5)

Factor inside the parentheses

2x (3x+4)(2x-5)/ (2x-5)

Cancel like terms

2x( 3x+4)

Distribute

6x^2 +8x

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Answer:

Step-by-step explanation:

2x + y = 20 (1)

2x + 3y = 36 (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

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3 years ago

Describe the relationship between the terms in each arithmetic sequence. Then

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Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

$0,9,18,27$

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

$d = T_n - T_{n-1}$

Take n as 2

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$d = T_2 - T_{1}$

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<em>The relationship is: The sum of the previous term and 9</em>

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As said in (a) each term is derived from a sum of 9 and the previous term

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$Next\ Term = 27 + 9 = 36$

$Next = 36 + 9 = 45$

$Next = 45 + 9 = 54$

Hence, the next three terms are: 36, 45 and 54

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Step-by-step explanation:

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