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Leya [2.2K]
3 years ago
14

What is the factorization of 729x15 1000? (9x5 10)(81x10 – 90x5 100) (9x5 10)(81x5 – 90x10 100) (9x3 10)(81x6 – 90x6 100) (9x3 1

0)(81x9 – 90x3 100).
Mathematics
1 answer:
Rudiy273 years ago
4 0

The factors of the equation are \rm (9x^4+10)(81x^{10} -90x^5 + 100).

Given

Equation; \rm  729x^{15 }+ 1000.

<h3>What is the Factor Theorem?</h3>

The Factor Theorem states that a polynomial function with roots  is given by:

\rm a(x-x_1)(x-x_2)......

Where a is the leading coefficient.

The factors of the equation are;

\rm (9x^5 + 10)(81x^{10} -90x^5 + 100)\\\\ 729x^{15}-810x^{10}+900x^5+810x^{10}-900x^5+1000\\\\9x^5(81x^{10} -90x^5 + 100)+10(81x^{10} -90x^5 + 100)\\\\ (9x^4+10)(81x^{10} -90x^5 + 100)

Hence, the factors of the equation are \rm (9x^4+10)(81x^{10} -90x^5 + 100).

To know more about factors click the link given below.

brainly.com/question/195124

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3 0
4 years ago
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Calculate the following derivative if <br> f(x) = sin(x)<br> and <br> g(x) = 5x + 4.
gayaneshka [121]

Answer:

Rewrite the function as an equation.

y

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Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is  

y

=

m

x

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b

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y

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m

x

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b

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x

+

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m

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b

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−

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The slope of the line is the value of  

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b

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Slope:  

5

y-intercept:  

−

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Any line can be graphed using two points. Select two  

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Choose  

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Replace the variable  

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1

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Simplify the result.

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1

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=

1

is  

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−

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=

0

is  

−

4

.

y

=

−

4

Create a table of the  

x

and  

y

values.

x

y

0

−

4

1

1

Graph the line using the slope and the y-intercept, or the points.

Slope:  

5

y-intercept:  

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4

x

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8 0
3 years ago
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jenyasd209 [6]
For this case we have the following expression:
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8 0
3 years ago
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