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2 years ago

Using synthetic division, find (2x4 4x3 2x2 8x 8) ÷ (x 2).

Mathematics

1 answer:

cestrela7 [59]2 years ago

5 0

The division is: 2x³+2x+4

<h3>What is synthetic division?</h3>

Synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.

Given:

(2 $x^{4}$ + 4x³ + 2x² + 8x + 8) ÷ (x + 2)

The division is attached below.

Hence, the division is 2x³+2x+4.

Learn more about this concept here:

brainly.com/question/3696665

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1. Carbon-14 is used to determine the age of artifacts in carbon dating. Carbon-14 has a half-life of 5730 years. Write an expon

masha68 [24]

See the attached graphic. (I'm rewording the attached formula)
Ending amount = Beginning Amount * e ^(k * t)
where "e" is the mathematical constant 2.718281828
and k = natural log (.5) / half-life
k = -.693147 / 5,730 = -0.000120968062827225 
Ending amount = 52 * e ^(-0.000120968062827225* t)

As a test, let's see how much remains after 11,460 years.
Ending amount = 52 * e ^(-0.000120968062827225 * 11,460)
Ending amount = 52 * e ^ ( -1.386294 )
Ending amount = 52 * 0.250000
Ending amount = 13
(which is correct because that is one quarter of the amount after two half-lives).

Source:
http://www.1728.org/halflif2.htm

3 0

4 years ago

The volume (in cubic meters), vvv, of a rectangular prism is given by the expression: v = a^4-2a^2b^2+b^4v=a 4 −2a 2 b 2 +b 4 v,

zhannawk [14.2K]

Answer:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

Step-by-step explanation:

The given expression that represents the volume of the rectangular prism is:

$v = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4}$

We can rewrite this to reveal a perfect square pattern.

$v =( { {a}^{2}) }^{2} - 2 {a}^{2} {b}^{2} + ( {b}^{2})^{2}$

We factor using perfect squares to obtain:

$v = ( {a}^{2} - {b}^{2} )^{2}$

$v = ( {a}^{2} - {b}^{2} )( {a}^{2} - {b}^{2} )$

Volume is three dimensional so we need a third factor different from 1.

We further factor one of the difference of two squares to get:

$v = ( {a}^{2} - {b}^{2})(a - b)(a + b)$

So pick the following unique dimensions from the possible answers:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

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3 years ago

What does it mean for a ordered pair to be a solution to a linear equation

jeka57 [31]

Answer:

What's a Solution to a System of Linear Equations? Note: If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time.

Step-by-step explanation:

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3 years ago

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3 years ago

Solve x−5≥1. please help me quick

tresset_1 [31]

Answer:

x greater than or equal to 6

[6, infinity)

Step-by-step explanation:

x-5+5 greater than or equal to 1+5

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3 years ago

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