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
Komok [63]
3 years ago
6

Prove that the value of the expression a^2–a is divisible by 2 for any whole value of a.

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Note that a^2-a=a(a-1), so that a^2-a is the product of two consecutive integers. This means one of them must be even, and the other is odd. The product of an odd number and an even number is itself an even number, so 2\mid a^2-a for any integer a.

You might be interested in
Which of the sets of ordered pairs represents a function?
IgorC [24]

Answer:

Neither set A nor set B represents a function.  

Step-by-step explanation:

According to the definition of a function, for each input there exists a unique output. In other word for each value of x there exists unique value of y.

In set A we have four ordered pair (-4,5),(1,-1),(2,-2) and (2,3).

It means for x=2, we have two values of y, i.e., -2 and 3.

Since for a single value of x there exist more than one value of y, therefore set A is not a function.

In set B we have four ordered pair (2,2),(3,-2),(9,3) and (9,-3).

It means for x=9, we have two values of y, i.e., -3 and 3.

Since for a single value of x there exist more than one value of y, therefore set B is not a function.

3 0
3 years ago
Read 2 more answers
Colleen McHugh wishes to deposit checks for $13.75, $92.08, and $8.21 into her account. She would like to receive $15.00 in cash
CaHeK987 [17]

her total deposit is 98.94

4 0
3 years ago
Read 2 more answers
What is the answer for this please help -31=3w+9-8w simplify you answer as much as possible
ki77a [65]

-31=3w+9-8w\\\\-5w+9=-31 \ \ /-9\\\\-5w=-40 \ \ /:(-5)\\\\\huge\boxed{w=8}

3 0
3 years ago
What is the slope of the line that passes through the points (-1 , 0) and (3 , 8).?
Zina [86]
Let's apply the formula giving the slope:


m=(y2-y1) /(x2-x1) , let's plug:


m= (8-0) / (3-(-1)) ====> m= 2
5 0
3 years ago
2.5 (8.6 ÷ 2 – 1.8)
Alina [70]

Answer:

6.25 is the answer

Step-by-step explanation:

work in the () first

2.5(8.6÷2-1.8)

2.5(2.5)

the multiply the two numbers and get 6.25

hope this helps

7 0
3 years ago
Read 2 more answers
Other questions:
  • Tim Worker decided to purchase a new DVD player on an installment loan. The DVD player was $295.00. Tim agreed to pay $31.00 per
    14·1 answer
  • mary went to her local Zoo where 55% of it's exhibit feature reptiles if the zoo features 20 exhibits in total how many of the z
    15·2 answers
  • ANSWER ASAP - 15 POINTS!!!!!!!1
    13·2 answers
  • A single card is drawn from a 52 standard deck. Find the conditional probability that the card is a heart given that it's a jack
    14·1 answer
  • What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45? A)2,213,360 B)2,313,
    14·1 answer
  • What’s the square root of 1700
    8·2 answers
  • Do anybody know this ???
    6·1 answer
  • Each base in this right prism-like figure is a semicircle with a radius of 7 cm.
    11·1 answer
  • Can someone please help me??
    10·2 answers
  • 6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4)<br><br><br> sos idk how to solve this:)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!