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3 years ago

Which of the following is a difference of cubes? x^6 + 27y^9 3x^9 - 64y^3 27x^{15} - 9y^3 125x^{21} - 64y^3

Mathematics

2 answers:

astraxan [27]3 years ago

7 0

Answer:

D) 125x²¹- 64y³

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³ - sum of cubes
B) 3x⁹ - 64y³ - the first term is not a cube
C) 27x¹⁵ - 9y³ - the second term is not a cube
D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

bearhunter [10]3 years ago

7 0

Answer:

D) 125x²¹- 64y³

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³ - sum of cubes

B) 3x⁹ - 64y³ - the first term is not a cube

C) 27x¹⁵ - 9y³ - the second term is not a cube

D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

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2. Pam is making fruit baskets. She has 30 apples and 24 bananas.

Digiron [165]

Answer:

Six

Step-by-step explanation:

$\dfrac{\text{apples}}{\text{bananas}} =\dfrac{30}{24}$

Find the greatest common factor of each number.

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor of 30 and 24 is 6.

Jane can make six fruit baskets if she divides the fruit evenly among them.

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3 years ago

Two negative integers have a sum of -13 and a product of 42. What are the integers?

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These two integers are -6 and -7

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3 years ago

Question 11 (Multiple Choice Worth 1 points

Diano4ka-milaya [45]

Answer:

$3\frac{4}{33}=3.\bar1\bar2$

Step-by-step explanation:

Given:

Simplify The given choice.

$3\frac{4}{33}=\frac{33\times 3 +4}{33}=\frac{99+4}{33}=\frac{103}{33}=3.1212121=3.\bar1\bar2$

$3\frac{8}{33}=\frac{33\times 3 +8}{33}=\frac{99+8}{33}=\frac{107}{33}=3.242424=3.\bar2\bar4$

$3\frac{10}{39}=\frac{39\times 3 +10}{39}=\frac{117+10}{39}=\frac{127}{39}=3.2564$

$3\frac{5}{39}=\frac{39\times 3 +5}{39}=\frac{117+5}{39}=\frac{122}{39}=3.12820$

Therefore, the first option $3\frac{4}{33}$ is correct.

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3 years ago

How many times larger is the 7 in the number 7042 than the 7 in the number 427?

e-lub [12.9K]

Answer:

1000

Step-by-step explanation:

To find the value of a digit in a number, set all the other digits to zero.

The value of 7 in 7042 is 7000.

The value of 7 in 427 is 007 = 7.

Then the question is "how many times larger is 7000 than 7?" That result is found by dividing 7000 by 7:

7000/7 = 1000

The 7 in 7042 is 1000 times larger than the 7 in 427.

_____

Another way to consider this

The 7 in 7042 is in the "thousands" place. The 7 in 427 is in the "ones" place. The thousands place is 3 places to the left of the ones place. Each place moved to the left increases the value by a factor of 10, so the value of a digit in the thousands place is 10×10×10 = 1000 times that of the same digit in the ones place.

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3 years ago

The product of 14560×10

Nady [450]

145600 you just do 14560 times 1 and add a zero.

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4 years ago