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3 years ago

What is the factorization of 1000x^6 - 27?

Mathematics

1 answer:

OverLord2011 [107]3 years ago

5 0

Answer:

Step-by-step explanation:

Cube root 1000x^6 = 10x^2

Cube root of - 27 = 3

So the first part of the factorization process is 10x^2 - 3. There is no help here because all of the answers give this binomial as the first factor.

The second factor is (10x^2)^2 + (3)*10x^2 + 3^2)

Expanding you get 100x^4 + 30x^2 + 9

Be very careful when looking at 100x^4 because that is where the answer is found.

It has to be B

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A computer purchased for $1,650 loses 19% of its value every year.

Artyom0805 [142]

A) a=the initial value ($1650)
b=1-percent of decrease (0.81 or 81%)
B) About 3 years

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3 years ago

What's the missing sequence of 37 40 123 ? 372 1116 <br>

erica [24]

Answer:

369

Step-by-step explanation:

37 + 3 = 40

40 × 3 = 120

120 + 3 = 123

123 × 3 = 369

and so on

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20-%20%20%5Cfrac%7B3%7D%7B8%7Dy%20%3D%203%20%5C%5C%20" id="TexFormula

MariettaO [177]

Answer:

(6, - 4 )

Step-by-step explanation:

Given the 2 equations

$\frac{x}{4}$ - $\frac{3}{8}$ y = 3 → (1)

$\frac{5}{3}$ x - $\frac{y}{2}$ = 12 → (2)

Multiply (1) by 8 and (2) by 6 to clear the fractions

2x - 3y = 24 → (3)

10x - 3y = 72 → (4)

Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides

- 3y = 24 - 2x

Substitute 3y = 24 - 2x into (4)

10x + 24 - 2x = 72, that is

8x + 24 = 72 ( subtract 24 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Substitute x = 6 in either (3) or (4) and solve for y

Substituting in (3)

2(6) - 3y = 24

12 - 3y = 24 ( subtract 12 from both sides )

- 3y = 12 ( divide both sides by - 3 )

y = - 4

Solution is (6, - 4 )

3 0

3 years ago

Determine whether the two triangles are similar and, if they are similar, state a reason.

aleksley [76]

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of interior angles of a triangle is 180°.

Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°

Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)

= 35°

Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,

Both the triangles will be similar by AA property of similarity.

5 0

3 years ago

Samuel rotated PLUTO 90° clockwise about the origin to generate P'L'U'T'O'.

NeTakaya

Answer:.

Step-by-step explanation:

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3 years ago