3 years ago

Expand: (3x + 4)(2x − 5)

Mathematics

1 answer:

BARSIC [14]3 years ago

8 0

Answer:

6x² - 7x - 20

Step-by-step explanation:

Use the so-called "FOIL" method of multiplying binomials:

First terms: 3x · 2x = 6x²

Outer terms: 3x · -5 = -15

Inner terms: 4 · 2x = 8 x

Last terms: 4 · -5 = -20

Then, after simplifying, we have 6x² - 7x - 20 (second answer choice)

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What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5? 20 pts.

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ANSWER

$a_n = 11 - 3n$

EXPLANATION

The explicit rule for an arithmetic sequence is given by:

$a_n = a_1 + d(n - 1)$

It was given that:

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The common difference is

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We plug in the values into the explicit formula to get,

$a_n = 8+ - 3(n - 1)$

Expand to get,

$a_n = 8 - 3n + 3$

The explicit rule is

$a_n = 11 - 3n$

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