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
Rzqust [24]
3 years ago
10

There are infinitely How many pairs of numbers of which the sum of their cube roots is zero give two of these pairs

Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

Infinite pairs of numbers

1 and -1

8 and -8

Step-by-step explanation:

Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:

\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y

Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.

Examples: 1 and -1; 8 and -8; 27 and -27.

You might be interested in
When point B (5, -1) is rotated 180º about the origin, its coordinate becomes (-5, 1).
Shtirlitz [24]

When a point (x,y) rotated 180⁰ about origin, the new point will be (-x, -y).

So,

if we have (5, -1), it should become (-5, 1).

So,

answer is true.

7 0
3 years ago
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are
Korvikt [17]

Let the number of boys and the number of girls be 5x and 4x

Number of girls = 4x = 60

x = 15

Number of boys = 5x

= 5× 15

= 75 boys

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to this quotient? 3x^2 -3/x^2+3x/ x+1/ x(x+3)
Alla [95]

It's a bit tedious, but it's just a bunch of factoring and manipulation.

3 0
3 years ago
Juan has already run 6 miles this month. He plans to run an additional 2.5 miles per day. At this rate, how long will take Juan
Snezhnost [94]

Answer:

x=14

Step-by-step explanation:

Hope that helped

7 0
3 years ago
Read 2 more answers
Why do you think gymnastics scores are reported to the thousands place?
sergij07 [2.7K]
Its like that because the judges deduct points from that score. They can be major or minor deductions. 
3 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 568 fee
    10·1 answer
  • F(x)=3-x and g(x)=x2+2<br><br> Find <br> F(0) - g(-2)<br> G(2) x g(-1)
    5·1 answer
  • Determine the multiplicity of the roots of the function k(x) = x(x + 2)3(x + 4)2(x − 5)4. 0 has multiplicity −2 has multiplicity
    15·2 answers
  • A train travels 51 kilometers in 4 hours, and then 69 kilometers in 5 hours. What is its average speed?
    15·1 answer
  • What is the x-intercept of the continuous function shown in the table
    5·2 answers
  • A survey was given to a random sample of 400 people living in a certain community. The people were asked whether they supported
    13·1 answer
  • Use division(scale down)<br> to find two ratios equivalent<br> to 30:40.
    15·1 answer
  • Each person in a group
    13·1 answer
  • Tom races his bicycle for 140 ft. A wheel of his bicycle turns 35 times as the bicycle travels this distance. What is the diamet
    6·2 answers
  • 2. Karen sells newspaper subscriptions. She earns $12 for each daily subscription and $4 for each Sunday- only subscription. How
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!