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djyliett [7]
3 years ago
10

What is the factorization of 729x15+1000?

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0
729x¹⁵ + 1000

This is a case of a sum of cubes.

729 is the cube of 9
1000 is the cube of 10
x¹⁵ is the cube of x⁵

A sum of perfect cubes can be factored into 
(a + b) (a² - ab + b²)

(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)

(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION

9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)
729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000
729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000
729x¹⁵ + 1000
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Answer:

The answer is +48

Step-by-step explanation:

a negative times a negative is a positive. Heres a little tip!

Love= Positive

Hate = Negative

if you love to love youre a lover

if you hate to hate youre a lover

if you hate to love youre a hater

if you love to hate youre a hater

hater= negative number

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(this only applies to multiplication and division)

                           

I hope this was helpful. Make sure to rate or mark as brainliest! or to thank. or all. your choice :)

3 0
3 years ago
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How can prime factorization help assist with LCM and GCF?
Ghella [55]
I hope this helps you

7 0
3 years ago
Find S5 for a geometric series for which a1=81 and r=1/9.
Minchanka [31]

ANSWER

S_5=91\frac{10}{81}




EXPLANATION


The sum of the first n terms of a geometric sequence is given by;


S_n=\frac{a_1(1-r^n)}{1-r} ,-1


Where n, is the number of terms and a_1 is the first term.


When n=5, we have a_1=81, we get;


S_5=\frac{81(1-(\frac{1}{9})^5)}{1-\frac{1}{9}}


S_5=\frac{81(1-\frac{1}{59049})}{1-\frac{1}{9}}


S_5=\frac{81(\frac{59048}{59049})}{\frac{8}{9}}




S_5=\frac{7381}{81}


S_5=91\frac{10}{81}




6 0
3 years ago
Determine the two consecutive integers between which the given number is located on the number line.
navik [9.2K]

Answer:

between 3 and 4

Step-by-step explanation:

to find 19/6 located where on the number line

first we need to convert 19/6 to decimal

19/6 = 3.166...

so lets now see where 3.166 lies

it first lies between 3.160 and 3.170

but we need integer

so we go deeper and see

it lies between 3.100 and 3.200

and then we need to go more deeper to get an integer not decimal

now it lies between 3 and 4

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3 years ago
Martin deposits $200 in a savings account that earns 5% annual interest. Four years later, Cary deposits
lesantik [10]

Answer:

200 + (10 y)

Step-by-step explanation:

martin   200 * 5 and divide by 100 =10 per year interest   240 =M

cary 200 + 10=210 =C

200 + (10 y)

4 0
3 years ago
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