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3 years ago

Which of the following is a factor of 24x6 − 1029y3?

Mathematics

2 answers:

amid [387]3 years ago

8 0

Answer:

The answer to your question is only the second and the third are factors.

Step-by-step explanation:

Find the factors of 24x⁶ − 1029y³

First find the prime factors of 24 and 1029

24 2 1029 3

12 2 343 7 Then 24 = 2³3

6 2 49 7 1029 = 7³ 3

3 3 7 7

1 1

x⁶ = (x²)³ y³ = y³

Then

2³3(x²)³ - 7³ 3 y³

Factor 3 3[ 2³(x²)³ - 7³ y³]

Factor 3 [ (2x² - 7y)(4x⁴ + 14x²y + 49y²)]

Then

2x2 + 7y

4x4 + 14x2y + 49y2

All of the above

ioda3 years ago

3 0

Answer:

B: 2x^2 + 7y

Step-by-step explanation:

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Simplify

OlgaM077 [116]

Answer:

see below

Step-by-step explanation:

$\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}$

we need to simplify that

$x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)$

so we can continue

$\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}$

and we can put all together

$\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}$

3 0

3 years ago

15 minutes is what percentage of One Hour?

Yuki888 [10]

Answer:

25%

Step-by-step explanation:

1 Hr = 60 Minutes

Divide by 15 = 4

100/4 = 25%

4 0

3 years ago

Ingrid gets two - thirds of her essay typed in 30 minutes. The equation 2/3×=30 can be used to find out how long it will take he

emmainna [20.7K]

Answer:

The answer is 45

Step-by-step explanation:

The equation is a straightforward one, we have:

2/3x = 30

because we have a fraction on at least one side, we will cross multiply thus:

2x = 30 x 3

2x = 90

Next, we divide both sides by 2 to make x the subject of the formula, we have 2x/2 = 90/2

x = 45

Therefore, it takes Ingrid 45 minutes to complete her essay

3 0

3 years ago

Find the area <br> steps, please

mixas84 [53]

Answer:

45) 35.75 sq km

46) 24.5 sq km

Step-by-step explanation:

Area of Square:

A= $\frac{(base)(height)}{2}$

45) A = (11)(6.5) ÷ 2 =

46) A = (10)(4.9) ÷ 2 =

5 0

3 years ago

Read 2 more answers

5.4 x 10 to the 3rd power to standard form

lutik1710 [3]

The answer is standard form is 5400.

<em>(Please mark this answer as Brainliest and leave a Thanks if I helped you!)</em>

4 0

3 years ago