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Leya [2.2K]
2 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:
Rudiy272 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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Give the slope of any line that is parallel to the line y = -7x + 2
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Answer:

Slope of Parallel Line: -7

Step-by-step explanation:

A set of parallel lines will ALWAYS have the same slope. Perpendicular lines will have complete opposite slopes, for example, the slope of a line perpendicular to this one would be 1/7. If the slope is positive, the other slope will be negative and vice versa. For perpendicular lines, you also have to flip the fractions.

8 0
3 years ago
Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
erica [24]

Answer:

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Step-by-step explanation:

Given that:

Amount Bradley owes = $275

Amount Bradley pays each week = $55

Let,

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We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;

f(x) = 275 - 55x

Hence,

The function f(x) = 275-55x represents the amount of money Bradley still owes.

3 0
2 years ago
Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.
Nimfa-mama [501]

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Step-by-step explanation:

8 0
2 years ago
What is the perpendicular slope to 6/-3
IRISSAK [1]

Answer:

Perpendicular slope is \frac{3}{6} or \frac{1}{2}.

Step-by-step explanation:

Given:

Let the perpendicular slope be x.

The given slope is \frac{6}{-3}

For perpendicular slopes, the product of the slopes is equal to -1.

Therefore, x\times \frac{6}{-3}=-1\\-\frac{6}{3}x=-1\\6x=3\\x=\frac{3}{6}=\frac{1}{2}

Therefore, the perpendicular slope is \frac{3}{6} or \frac{1}{2}.

8 0
3 years ago
What is the length of the hypotenuse? 24 42
AleksAgata [21]

Answer:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem or a^2+b^2=c^2.

(24)^2+(42)^2=2340

Step-by-step explanation:

Are the 24 and 42 squared already or no just let me know if they are squared then I'll change my answer okay  

7 0
2 years ago
Read 2 more answers
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