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
xxTIMURxx [149]
3 years ago
12

For any integer x,x2-x will always produce an even value

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Consider expression x^2-x. First, you can factor it:

x^2-x=x(x-1).

Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).

Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.

Thus, x^2-x is always even.

You might be interested in
What is the rule?<br> (0,0),(1,4),(-1,-4)
aleksandrvk [35]

We have (1,4) + (-1,-4) = (0,0), because 1 + (-1) = 1 - 1 = 0 and 4 + (-4) = 4 - 4 = 0.

7 0
3 years ago
Which of the following is the cube root of -64/243
lilavasa [31]

Answer:

-(4/7)

or

if you are above 11th standard

4/7i

4 0
3 years ago
What is t ? 3t - 2/3=1+t
MatroZZZ [7]
<span>3t - 2/3=1+t
we need to separate t. subtract t from both sides.
2t - 2/3 = 1
add 2/3 to both sides. 
2t = 1+2/3
2t = 3/3 + 2/3
2t = 5/3
divide 2 by both sides.
t = 5/6</span>
5 0
3 years ago
Solve 7ax + 8ax = 9 ax + 6 for x. Assume a ≠0.
marysya [2.9K]

The answer is B (1/a)

4 0
3 years ago
A rectangular table top has a perimeter of 24 inches and an area of 35 square inches. find its dimensions.
aleksandr82 [10.1K]
7*5=35

7(2)+ 5(2)= 24

The dimensions are 7 and 5 inches.
3 0
4 years ago
Read 2 more answers
Other questions:
  • Round to the nearest thosand 5,900
    5·2 answers
  • A salesperson receives a 3% commission on sales the salesperson receives 180$ in commission what is the amount of sales
    5·2 answers
  • Wendy paints a rectangular wall that is 10.5 feet tall and 9.2 feet wide. What is the area of the wall that she paints?
    10·2 answers
  • Write 2 4 over 9 as an improper fraction
    9·1 answer
  • Question 20 of 21
    13·1 answer
  • Which point is on the line y = -2x + 3?<br> (-2,-1)<br> (3, -3)<br> (3, 3)<br> (-3,-9)
    8·2 answers
  • David played a slot machine. W(t) models his winnings (in dollars, where a negative number means David is losing) as a function
    7·1 answer
  • 0.03 + 6/10 is equal , greater or less than 0.30 +6/100
    13·1 answer
  • Make a conjecture for this scenario <br><br> the sum of the first 100 positive odd numbers
    9·1 answer
  • Ivan bought two magazines for $4.95 each. If the sales tax was 6.75% what was the total amount that he paid for the magazines?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!