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
vagabundo [1.1K]
1 year ago
15

Sum of the three numbers in an AS is 33 and the sum of their cubes is 5049. find the numbers

Mathematics
1 answer:
Daniel [21]1 year ago
4 0

The computation shows that the numbers will be 7, 11, and 15.

<h3>How to compute the value?</h3>

Let the numbers be:

First number = a - d

Second number = a

Third number = a + d

a - d + a + a + d = 33

3a = 33

a = 33/3 = 11

The second condition will be:

(a - d)³ + a³ + (a + d)³ = 5049

a³ - d³ - 3ad(a - d) + a³ + a³ + d³ + 3ad(a + d) = 5049

3a³ + 6a × d² = 5049

Replace a = 11

3 × 11³ + (6 × 11) × d² = 5049

d² = (5049 - 3 × 11³)/6 × 11

d² = 16.

d = ✓16

d = 4

First number = a - d = 11 - 4 = 7

Second number = a = 11

Third number = a + d = 11 + 4 = 15

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

You might be interested in
PLEASE HELP
sweet [91]

Answer:

a)2 + 3 + 5 + 6 = 16

b)8a + b-9

c)8a - 28b + 15c

Step-by-step explanation:

We are given the following in the question:

1. Equivalent expression

2 + 3 + 5 + 6

Since all the terms are like terms, we can write,

2 + 3 + 5 + 6 = 16

2. Sum of given expression

(8a - 2b - 4) \text{ and } (3b - 5)\\ (8a - 2b - 4) + (3b -5)\\= 8a -2b -4 + 3b -5\\\text{Collecting the like terms}\\8a + (-2b+3b) + (-4-5)\\= 8a + b-9

3. Standard form of the expression

4(2a) + 7(-4b) + (3 \times c \times 5)\\=(8a) + (-28b) + (15c)\\=8a - 28b + 15c

which is the required standard form of the given expression.

8 0
2 years ago
Slove the following equation for x
Kisachek [45]

Answer:

x=14

Step-by-step explanation:

3 0
3 years ago
What is the completely factored form of x4 + 8x2 – 9? (x + 1)(x – 1)(x + 3)(x + 3) (x+1)(x+1)(x+3){x^2+9} (x2 – 1)(x + 3)(x – 3)
Y_Kistochka [10]

Answer:

(x+1)(x-1)(x^2+9)

Step-by-step explanation:


5 0
2 years ago
Based on the graph below, which point is a solution?
Butoxors [25]

Answer:

A.(5,1) to

Step-by-step explanation:

because the y axis is on a 5 and the x axis doesn't have a question ❓⁉️ so you have (A) to be your answer

4 0
2 years ago
-9 - (-7) = ?<br><br> Someone please explain
castortr0y [4]
-9-(-7)
-9+7=-2
....:,.,
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is greater... -8 , -18, 3, -19??
    14·2 answers
  • Are there less than 1 million exactly 1 million or greater than 1 million miligrams in a kilogram?
    9·2 answers
  • What is the greatest common divisor of $1665,$ $4554,$ $1683,$ and $4050$?
    15·2 answers
  • Help me please I am taking a quiz
    15·2 answers
  • The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.
    12·1 answer
  • Help with number 1 is needed I don’t understand
    6·1 answer
  • A multiplication chart
    11·1 answer
  • A circular lawn with a diameter of 20 square feet will be planted with grass seed. How many square feet are on the lawn?
    10·2 answers
  • A recipe that uses 1/2 pound of almonds makes 5/6 cup of almond butter.
    14·2 answers
  • A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number o
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!