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
lubasha [3.4K]
3 years ago
12

When asked to prove that the difference of any irrational number and any rational number is irrational, a student began, "Suppos

e not. That is, suppose the difference of any irrational number and any rational number is rational." What is wrong with beginning the proof in this way?
Mathematics
1 answer:
topjm [15]3 years ago
7 0

First you have to define what a rational and irrational number is and they would be:

a / b, where b can never be 0.

Irrational are the numbers with non-periodic decimals, how the roots are not exact, the number pi, etc.

The student says "the difference of any irrational number and any rational number is rational"

The student's mistake is to use "any" since not any rational number would be the case that fulfills this.

That is, the correct thing is that there is an irrational number and a rational number in such a way that their difference is rational.

You might be interested in
Jose set a goal of saving at least $200 in a savings account. He currently has $60 in the
Dovator [93]
It will take him 28 weeks. If he already has $60 of $200 saved, you would do 200 - 60. That would give you 140. To find out how long it would take him to make $140, you would have to do 140 divided by 5 to get the number of weeks.
4 0
3 years ago
Read 2 more answers
In a paragraph, explain whether or not all geometric sequences are exponential functions.
ANTONII [103]

Answer:

In a short terms, if you have geometric sequences are most likely(99% sure) to be exponential functions because aromatic functions are the opposite of exponential. Aromatic function are used for linear equation, graphs, and functions while exponential functions will be used for exponential equations, graphs, and functions. So yes, all geometric sequences are in fact exponential functions.

Hope this is helpful.

8 0
3 years ago
Wesley wants to have at least $50 to spend each day of his 7-day vacation. He plans to save $30 each month for 12 months. Which
aleksklad [387]

Answer:

i cant choose any that applies to this question because there is no picture added to it and there are no choices to choose from. If i were to solve it though, it would be; yes, he will save enough money for his vacation.

Step-by-step explanation:

I know he would have enough--and in this case more than enough, because since he's planning to save $30 for a whole year just for $50, when he could simply make $60--which is in fact more than needed for his goal-- in just 2 months. If he were to stick with his plan though, he'd make $360. I got that by multiplying 30 by 12.

3 0
3 years ago
Add the prime factors of 39.
Maksim231197 [3]

Answer:

56

Step-by-step explanation:

Factors of 39: 1, 3, 13, 39.

39+13+3+1=

39+4=43

43+13=58

6 0
4 years ago
Read 2 more answers
What is ​0.000013 in scientific notation?​
Nata [24]
1.3\cdot10^5
5 0
3 years ago
Read 2 more answers
Other questions:
  • Is area and radius the same thing
    8·1 answer
  • Please help me solve this
    12·1 answer
  • There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.
    8·1 answer
  • How many packages of diapers can you buy with $40 if one package costs $8. 8TH GRADE ONE STEP EQUATION PROBLEM. NEED HELP ASAP
    13·2 answers
  • Examine the right triangle.
    9·2 answers
  • Using the distributive property to find the product (y — 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y
    13·2 answers
  • Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua
    10·1 answer
  • 45 for 12 gallons of gas how much did each gallon of gas cost
    12·2 answers
  • Solve the inequality. -x ≤ 5​
    8·2 answers
  • Question 6<br> Find the distance between A (-1, 2) and B(-4, 6).<br> units
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!