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gregori [183]
3 years ago
5

What is the product? 3x^5 (2x^2+4x+1)

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0

Answer:

The product of the given polynomial 3x^5(2 x^2+4x+1)  is 6x^7+12x^6+3x^5

Step-by-step explanation:

Given: Polynomial 3x^5(2 x^2+4x+1)

We have to find the product of the given polynomial 3x^5(2 x^2+4x+1)

Consider the given polynomial 3x^5(2 x^2+4x+1)  

Apply distributive rule, a(b+c)=ab+ac

Multiply 3x^5 with each term in brackets, we have,

=3x^5\cdot \:2x^2+3x^5\cdot \:4x+3x^5\cdot \:1

=3\cdot \:2x^5x^2+3\cdot \:4x^5x+3\cdot \:1\cdot \:x^5

Apply exponent rule, a^b\cdot \:a^c=a^{b+c}

Simplify, we have,

=6x^7+12x^6+3x^5

Thus, The product of the given polynomial 3x^5(2 x^2+4x+1)  is 6x^7+12x^6+3x^5

almond37 [142]3 years ago
5 0
<span><span>the answer is C.) 6x^7...
  </span></span>
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Oliga [24]

Answer:

c

Step-by-step explanation:

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pshichka [43]

The equivalence of the equation is 5x + 48 = 5x + 3.

Since 48 cannot be equal to 3, hence there are no solution.

<h3>What is the value of x?</h3>

Given the equation; x-4[ x - 2( x + 6) ] = 5x + 3

We remove the parentheses

x-4[ x - 2( x + 6) ] = 5x + 3

x-4[ x - 2x - 12 ] = 5x + 3

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We can go further and collect like terms

5x - 5x + 48 = 3

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Since 48 cannot be equal to 3, hence there are no solution.

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The set of ordered pairs below represents a linear function.
Doss [256]
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Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up an th
frosja888 [35]

Answer:

3x - y = 0; 2x - y = -5

Step-by-step explanation:

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Since, in present Grace is three times as old as Hans,

⇒ y = 3x

⇒ 3x - y = 0

Now, after 5 years,

The age of Hans = x + 5,

And, the age of Grace = y + 5

Also, in 5 years Grace will be twice as old as Hans is then,

⇒ y + 5 = 2 ( x + 5 )

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⇒ 2x - y = -5

Hence, the required system of linear equations is,

3x - y = 0; 2x - y = -5

5 0
3 years ago
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

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The area of the circle can be calculated as:

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Substituting the values, we get:

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or, Area = 9/π²(3  + √3).

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