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
lutik1710 [3]
3 years ago
6

Prove that if n is an even integer, then n + 1 is odd. Give a proof by contraposition of this theorem.

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0

Answer:

Proved below

Step-by-step explanation:

If we assume that n + 1 even when n is even, it means that;

n + 1 = 2x

Where x is an integer

Then;

n = 2x - 1

This means that n is odd because 2x - 1 is odd.

But we know that n is even, thus, our assumption is wrong.

Therefore, n + 1 is odd when n is even.

You might be interested in
What is the percentage of change from 12 to 19
tiny-mole [99]

Answer:

(19-12):12*100 =

(19:12-1)*100 =

158.33333333333-100 = <u>58.33</u>

3 0
2 years ago
4/5x - 1/4x = 11, find x
aivan3 [116]

Answer:

x= 20

Step-by-step explanation:

1. multiply both sides by 20: 16x-5x= 220

2. Combine like terms: 11x=220

3. Divide: x=20

6 0
3 years ago
Have a nice day and some points
nlexa [21]

Answer:

thx

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which is the best example of a down payment?
Maru [420]

Answer:

C

Step-by-step explanation:

Proof by some contradictions:

D is not a good example because she does not pay anything upfront

B is not a good example because he pays <u>everything </u>upfront with some of the money from a third party

A is not right because the 500 is a security deposit, which is a different concept from a down payment

Therefore the answer should be C, where money is payed upfront and payed after he receives the product.

8 0
2 years ago
The vertex of a parabola is (3,2). A second point on the parabola is (1,5).which of the following points is also on the graph?
vekshin1
+ <span>The vertex of a parabola is (3,2),
that means the parabola's equation is y=a(x-3)</span>²+2
+ <span>A second point on the parabola is (1,5) and we replace x=1 and y=5. We have: 
5</span>=a(1-3)<span>²+2  ,  so we have 4a=5-2 or a=3/4
So the equation is y=3/4 (x-3)</span>²+2

And by checking we have the point (5;5) is on the parabola
Have fun
8 0
3 years ago
Other questions:
  • The measure of a square wall is 9 feet 7 inches on each side. Estimate the square feet a painter would have to cover to the near
    12·1 answer
  • What is Associative propert
    11·1 answer
  • Complete each statement in the steps to solve x2 – 4x + 3 = 0 using the process of completing the square.
    7·1 answer
  • Christy bought an 8 foot piece of lumber to trim a bookshelf.Altogether she needs 100 inches of lumber for the trim. Did christy
    5·1 answer
  • Fill in the missing reasons (one for each step). Given: 3x – 6y = 27; x = 5 Prove: -2 = y
    11·1 answer
  • Dinos diner charges 4$ for each sandwich. Carlas cafe charges 8$ for each sandwich write the total costs of 1 2 3 and 4 sandwich
    5·1 answer
  • ANSWER ASAPP!!!!!!FAST PLZZZZZZ!!!!!!!!!
    13·2 answers
  • Next period is in 15 mintures
    15·1 answer
  • Which figure can be formed from the net NEED HELP ASAP
    8·1 answer
  • Amari pays $7,440 in taxes on his income of $46,500. What percentage of his income is going toward taxes???
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!