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
Natasha2012 [34]
3 years ago
15

4. Determine whether the statement is true or false. Prove the statement directly from the definition if it is true, and give a

counterexample if it is false. The average of two odd integers is odd.
Mathematics
1 answer:
natta225 [31]3 years ago
3 0

Answer:

The statement is false.

Step-by-step explanation:

Let a and b represent two odd integers.

The average (A) is defined by:

A=\frac{a+b}{2}

In order to prove the statement, you have to show that it's true for all odd integers. But, to disprove it, you just have to find a counterexample where the statement is false.

Notice that it is easier to try to find a counterexample.

For example, a=3 and b=5

A= \frac{3+5}{2} = \frac{8}{2} = 4

The result of the average is even, therefore the statement is false.

The previous calculation is a counterexample.

You might be interested in
What is the perimeter?
DanielleElmas [232]

Answer:

Step-by-step explanation:

jest mutply it

7 0
3 years ago
Someone, please help my teacher doesn't want to help me and ugh I'm frustrated. Any help would be great!
maw [93]

Answer:

my brother said it is 5 and 10... but i do not know if it is

7 0
2 years ago
ANSWER FOR 20 POINTS!
Eva8 [605]
C d b a are the answers hope I helped
7 0
3 years ago
Find x.<br> A) 3 <br> B) 4 <br> C) 5 <br> D) 6
Verdich [7]
Its the first one: Letter A
8 0
3 years ago
Read 2 more answers
A company makes a profit of $7 per software program and $8 per video game. The company can produce at most 90 software programs
g100num [7]

Answer:

930 dollars

Step-by-step explanation:

Let software programs = S

Video game = V

Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.

How many items of each kind should be produced per week in order to maximize the profit?

The to get profit P

P = 7S + 8V

Since the profit on video game is higher, we will give maximum production to video game. Therefore,

P = (30 × 7) + ( 8 × 90)

P = 210 + 720

P = 930 dollars

6 0
3 years ago
Other questions:
  • 12-2x^2/-5x where x=-4
    5·1 answer
  • An election charges $30 for a service call plus $75 per hour of service.if he changed $210 how many hours did he work?
    11·2 answers
  • The sum of two consecutive odd integers is 236. What is smaller integers
    15·1 answer
  • How to do this question 3•3•5
    10·2 answers
  • Calculate the Social Security and Medicare tax that would be applied to an annual salary of $35,400,
    15·1 answer
  • Classic Probability
    10·2 answers
  • Jamey says she only has 30% of her book to go before she finishes it. She has read 147 pages so far.
    15·1 answer
  • Can you guys answer both of these questions
    13·2 answers
  • Find the range of the graphed function.
    11·2 answers
  • Mackenzie is deciding between two parking garages. Garage A charges an initial fee of $12 to park plus $5 per hour. Garage B cha
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!