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yuradex [85]
1 year ago
11

How would the expression x^3-64 be written using difference of cubes

Mathematics
1 answer:
Alexeev081 [22]1 year ago
7 0

The expression x³ - 64 can be rewritten using difference of cubes is; (x - 4)(x² + 4x + 16)

<h3>How to write an expression as difference of cubes?</h3>

Difference of cubes can be rewritten in the form of;

a³ – b³ = (a – b)(a² + ab + b²)

So in this question, we are given;

x³ - 64 = x³ - (4)³

where a = x and b = 4

This gives us;

(x - 4)(x² + 4x + 4²)

⇒ (x - 4)(x² + 4x + 16)

Read more about difference in cubes at; brainly.com/question/2747971

#SPJ1

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The management of a large airline wants to estimate the average time after takeoff taken before the crew begins serving snacks a
Dahasolnce [82]

Answer:

The answer is "Option a, Option b, and Option d".

Step-by-step explanation:

In the given question it is used to stratifying the sampling if the population of this scenario it flights takes off when it is divided via some strata.

  • In option a, In this case, it stratified the sampling, as the population of planes taking off has been divided into the days of the week.
  • In option b, It also used as the case of stratified sampling.
  • In options c, it is systematic sampling, that's why it is wrong.
  • In option d,  It is an example of stratifying the sampling.
3 0
2 years ago
8) The sides of a flower garden are shown in the diagram below. What is the perimeter of the flower garden? 4m 2 m​
jeka94

Answer:

18.28 m

Step-by-step explanation:

Given the flower garden in the question :

The shape is composite and can be divided into 2 semicirles and rectangle

The perimeter of a semicircle is the Circumference of the semicircle = πr

Hence, 2 semicirles = 2πr

Radius of semicircle = 2/2 = 1

Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m

The perimeter of rectangle; length and width are 6m and 2 m respectively :

Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m

Tve perimeter of garden = 6.28 + 12 = 18.28 m

8 0
2 years ago
How do I do number 1?
Kaylis [27]
Use the calculator in the app photomath
3 0
3 years ago
A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

7 0
2 years ago
Which of these rectangles could be the shape of her scrap book cover?
andrew11 [14]

Answer:

6in 5in

you have to do 5×2 and 6×2 and add those together

3 0
2 years ago
Read 2 more answers
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