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lana66690 [7]
3 years ago
9

Help please I will mark you as brainlyist!!!

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
8 0

Answer: 8

Step-by-step explanation:

juin [17]3 years ago
6 0

Answer:

Step-by-step explanation:

12 - 6x > 24

First, add 6x to both sides:

12 - 6x + 6x > 24 + 6x

Subtract 24 from both sides:

12 - 24 > 24 + 6x - 24

-12 > 6x

Divide both sides by 6:

-12 ÷ 6 > 6x ÷ 6

-2 > x

S = (∞, -2)

Hope this helps!

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5 = 5    True

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What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +
Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

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(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

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5m⁴n = 80x⁴y

Divide both sides by 5, to get

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Put m = 2x into the equation

(2x)⁴n = 16x⁴y

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Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵  is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

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2 years ago
Match each transformation of function fwith a feature of the transformed function.
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The equations of the functions are given as:

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