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
Ksju [112]
3 years ago
6

What identity can be used to rewrite the expression 27x^3-64?

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Option A:

Difference of cubes

Solution:

Given expression is 27 x^{3}-64.

27 can be written as 3^3.

64 can be written as 4^3.

27 x^{3}-64=3^3x^3-4^3

27 x^{3}-64=(3x)^3-4^3

To find the identity to rewrite the given expression:

Option A: Difference of cubes

27 x^{3}-64 can be rewritten as (3x)^3-4^3.

That means the difference of two cubes.

So, it is true.

Option B: Difference of squares

27 x^{3}-64 cannot be written as square terms.

So, it is false.

Option C: Sum of cubes

27 x^{3}-64 cannot be written as sum of cubes.

So, it is false.

Option D: Pythagorean Triples

27 x^{3}-64 cannot be written as Pythagorean Triples.

So, it is false.

Hence difference of cubes if the correct answer.

You might be interested in
What is the image point of ( -5,0 ) after a translated left 2 units and down 3 units ?​
kvv77 [185]
Answer: ( -7 , -3 )


Step by step:
The point: ( X , Y )
Left 2 units = change X by -2
So, -5 subtract by 2 equals -7
Down 3 units = change Y by -3
So, 0 subtract by 3 equals -3
Now, X = -7 and Y = -3, so the answer is ( -7 , -3 )


Hope this helps! Please tell me if I did anything wrong, thank you!
5 0
3 years ago
You are shopping for carpet for your living room which measures 19 feet by 12 feet. Charlie's Carpets sells carpet for $18 per s
Kamila [148]
----------------------------
Charlie's Carpets:
----------------------------
Carpet : $18/yd
Installation: $2/yd

Discount: 20% x $18 = 0.2 x 18 = $3.60
Carpet Price after discount = $18 - $3.60 = $14.40/yd²

Carpet Price with installation $14.40 + $2 = $16.40/yd²

----------------------------
Cindy's Carpet
----------------------------

Carpet = $18/yd²

Discount = 10% = 0.1 x $18 = $1.80
Price after Discount = $18 - $1.80 = $16.20/yd²

----------------------------
Summary:
----------------------------
Charlie's Carpet = $16.40/yd²
Cindy's Carpet = $16.20/yd²

CIndy's Carpet is cheaper.

----------------------------
Find Cost:
----------------------------
Length = 19 x 1/3 = 19/3 yards
Width = 12 x 1/3 = 4 yards

19/3 x 4 = 25 1/3 yd²

Cost = 25 1/3 x $16.20 = $410.40

------------------------------------------------------------------------------------
Answer: Cindy's Carpet is cheaper and it will cost $410.40.
------------------------------------------------------------------------------------

4 0
3 years ago
The current temperature is 20 degrees. This is 6 degrees less than twice the temperature that it was 6 hours ago. What was the t
mestny [16]
2x - 6 = 20
2x = 20 + 6
2x = 26
x = 26/2
x = 13 <==
5 0
3 years ago
The perimeter of a rectangular garden is $_64$_ centimeters. The length of the garden is three times the width. Find the length
CaHeK987 [17]

Answer:

length is 24 cm, width is 8 cm

Step-by-step explanation:

3 0
2 years ago
Express 429 as a product of its prime factors​
lawyer [7]

Answer:

The answer is 429 = 3×11×13.

Step-by-step explanation:

You have to divide by prime number :

429 ÷ 3 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

8 0
3 years ago
Read 2 more answers
Other questions:
  • Help me with this I can’t figure it out
    15·2 answers
  • Lelia has 5 1/4 hours of homework to do over the weekend. She does 2/3 of her homework on Saturday so sh can get it out of the w
    6·1 answer
  • Please tell me if # 6 and 7 is correct
    8·1 answer
  • During second period, Jessica completed a grammar worksheet. She got 68 out of 68 questions correct. What percentage did Jessica
    11·1 answer
  • Please help me I don't have a lot of time<br> tan(30)=a/2
    12·1 answer
  • What is 1.5 rounded to the nearest one?
    14·2 answers
  • Solve for h....<br><br>.<br><br>....
    14·1 answer
  • ASAP What is 1/3 (x - 10) = -4 I need the asnwer and all the steps on how to do it! Thank you.
    9·2 answers
  • HELPPP ME PLSSS AND NO BOTS BC I WILL REPORT AND I BARELY HAVE POINT SO PLS HELP ME
    8·1 answer
  • Use the properties of exponents to simplify the expression
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!