1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlad1618 [11]
3 years ago
12

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

<u>Correct option is the last one</u>

<u></u>

You might be interested in
If the office furniture costs $9,900 and it was three times as expensive as the office computer, what was the cost of the comput
Readme [11.4K]

Answer: 3,300

Step-by-step explanation:

9,900÷3

3 0
2 years ago
Read 2 more answers
PLEASE ALSO EXPLAIN HOW TO SOLVE THIS. 20 POINTS
eimsori [14]
B.) Hibiscus Street 

The key thing to remember is the slope of the lines. The equation for a line in slope intercept form is
y = ax + b
where
a = slope
b = y intercept

So the equation for Oak Street is y = 2/3x - 7. So it's slope is 2/3. And any street that has the same slope will be given a tree name. And any street that's perpendicular will be given a flower name. You can determine is a line is perpendicular if it has a slope that's the negative reciprocal. So a street that's perpendicular to Oak street will have a slope of -3/2.

Now you've just been given the equation to a new street that's y = -3/2x - 2. Since the slope is -3/2 and Oak street has a slope of 2/3, the new street is perpendicular to Oak street. And given the naming scheme, that means that the new street will have the name of a flower. So let's look at the available street names and pick a flower.
<span>
A.) Weeping Willow Street
* Nope a Weeping Willow is a tree. So this name won't work.
 
B.) Hibiscus Street 
* Yes. A Hibiscus is a flower, so this name is suitable.

C.) Oak Street 
* Nope. Not only is this a tree instead of a flower, but there's already an Oak street. So bad choice.

D.) Panther Street
* Nope, this is an animal, not a flower. Bad choice.

</span>
6 0
3 years ago
Hans cell phone plan answers c d and e
Bogdan [553]

Answer:

wait what?? lol i dont get this question-

3 0
2 years ago
Mrs.Klein made some fruit buns.She sold 3/5 in the morning and 1/4 of the remainder in the afternoon.If she sold 200 more fruit
fredd [130]
3/5 =6/10, so 6/10-1/10 = 5/10 =200. 1/2 of 200=100, so mrs.kleein made 400 fruit buns in all.
4 0
3 years ago
Pete's monthly housing budget is $2,250. His monthly costs are $215.75 for insurance, $143.50 for utilities, and $273 for taxes.
Afina-wow [57]

Answer:

Option B.  house B; monthly payment of $1,550.89 is the correct answer.

Step-by-step explanation:

In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.

Given

Total housing budget = $2250

Monthly costs = $215.75

Utilities = $143.50

Taxes = $273

First all expenses can be added together to subtract from the housing budget.

So

Monthly\ costs = Insurance\ +\ Utilities\ +\ taxes\\ = \$215.75 + \$143.50 + \$273\\= \$632.25

Now the total monthly cost will be subtracted from housing budget.

Amount\ for\ monthly\ payment = Housing\ budget - Monthly\ Expenses\\=\$2250\ -\ \$632.25\\=\$1617.75

Hence, he saves $1617.75 for monthly payment.

Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75

Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.

Hence,

Option B.  house B; monthly payment of $1,550.89 is the correct answer.

6 0
3 years ago
Other questions:
  • There were 165 donors last year. Find the number of donors this year using each of the expressions. Do you get the same number w
    5·1 answer
  • A jury pool consists of 50 potential jurors and how many ways can a jury of 12 be selected
    15·1 answer
  • 3(a+9/12)=3(a+7/12)+ (?)
    7·1 answer
  • Will give brainliest answer Thanks answer both
    12·1 answer
  • Quick help me on this!!!
    14·1 answer
  • Solve this parallelogram angle
    10·2 answers
  • Correct answers will get brainliest
    9·2 answers
  • Help me ;)<br><br> 9x-7i &gt;3(3x-7u)
    9·1 answer
  • Help me please!!!!!!!!!
    11·2 answers
  • 2(7x-34) = 22<br> Find X<br> Brainliest
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!