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
lara31 [8.8K]
2 years ago
8

What are two consecutive numbers whose cube differs by 271

Mathematics
2 answers:
valentina_108 [34]2 years ago
7 0

Answer:

Two consecutive numbers cubes differ by 271. Let the two consecutive numbers be x and x + 1. The difference of the two consecutive numbers is 271. ( x + 1 ) ^3 - x ^3 = 271. 1 + 3 x ^ 2 + 3 x - 271 = 0.

Step-by-step explanation:

lesya692 [45]2 years ago
4 0

9514 1404 393

Answer:

  9, 10  or  -10, -9

Step-by-step explanation:

Let x represent the smaller of the two numbers. Then x+1 is the larger, and their difference is ...

  (x +1)³ -x³ = 271

  x³ +3x² +3x +1 -x³ = 271

  3x² +3x -270 = 0 . . . . . . simplify

  x² +x -90 = 0 . . . . . . . . divide by 3

  (x +10)(x -9) = 0 . . . . . factor

The two solutions are x = -10, x = 9.

The numbers could be {-10, -9} or {9, 10}.

_____

<em>Additional comment</em>

Solutions to a factored polynomial are the values of the variable that make the factors zero. The product will only be zero if a factor is zero.

The factor (x -a) is zero when x=a.

You might be interested in
How do I round 47,283 to the nearest 100,000
rosijanka [135]

The answer is zero.

Explanation:

The 4 is in the ten-thousands place.

Write the number 47,283 with an additional zero in the 100,000 place.

047,283

To round to the nearest 100,000, all digits to the right of the 100,000 place become zero. That means that the digits 47283 all become zero. Since 4 is less than 5, the digit to its left is not raised by 1, so the 100,000 place digit remains zero, and you end up with 000,000, which is simply 0.

Answer: 0

7 0
3 years ago
Make a factor tree for 24
Flura [38]
24 = 2 x 12, 24 = 8 x 3, 24 = 6 x 4, draw factor trees that all show 24 = 2 x 2 x 2 x 3 at the end.

Pls give me a brainliest if this helped thx
3 0
2 years ago
Read 2 more answers
How to solve Y = eight, X =2 and direct variation
rodikova [14]

Answer:

The answer is k = 4.

Step-by-step explanation:

Given:

Y = 8 and X = 2.

Now, to solve direct variation.

y direct with x.

Now, using equation to solve direct variation:

y=kx

8=k\times 2

Dividing both sides by 2 we get:

4=k.

Therefore, the answer is k = 4.

5 0
3 years ago
MATH ONE QUESTION!!!!!!!!!!!!
yulyashka [42]
19x - 11 = 10x + 7
         9x = 18
           x = 2

19x - 11 = 19(2) - 11 = 27

3y + 27 = 180
3y = 153
  y = 51

answer
x = 2 and y = 51
5 0
3 years ago
10x=-3-8x^2<br> Solve by factoring
GrogVix [38]

Answer:

10 x = -3 -8 x²

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • An athlete with mass m running at speed v grabs a light rope that hangs from a ceiling of height H and swings to a maximum heigh
    6·1 answer
  • Can you please help me THAKS! IN A HURRY IT'S midnight and I am trying to finish my work from home My parents allow me to ask
    14·1 answer
  • In the following proportion, what does x equal? A. 4.6 B. 5.4 C. 6.1 D. 6.8
    12·2 answers
  • lainey is sliding down a water slide that is 420 feet long at a rate of 42 feet per second how long will it take lainey to trave
    10·2 answers
  • I need help with this math problem
    14·1 answer
  • How do i solve inequalities and graph it’s solution
    10·1 answer
  • Answer the problem please
    10·1 answer
  • Esmeralda works in the snack bar at the movie theater. She serves popcorn in two sizes, small and giant. The dimensions of the s
    11·1 answer
  • A butterfly can fly 82 feet in four seconds and a dragonfly 50 in two seconds. which is faster
    13·1 answer
  • Whats the correct answer answer asap for brainlist
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!