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
ahrayia [7]
3 years ago
5

The sum of a rational number and an even integer is rational. A) Always True B) Sometimes True C) Usually True D) Never True

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0
I think that the sum will always be a rational number
let's prove that


<span>any rational number can be represented as a/b where a and b are integers and b≠0

</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....

<span>so, 2 rational numbers can be represented as

</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)

their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd

1. the numerator and denominator will be integers
2. that the denominator does not equal 0

alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer

now the denominator
that is just a product of 2 integers so it is an integer


<span>2. we originally defined that b≠0 and d≠0 so we're good

</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
You might be interested in
identify a counterexample for the following conditional: if you live in Springfield, then you Iive in Illinois.
Oduvanchick [21]
You could live in Springfield, MO. Then you would not be living in Illinois.
8 0
3 years ago
Find values for the the entries in the second matrix to satisfy this equation:
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

number of columns of A=number of rows of B

number of rows of A=number of rows of C

7 0
3 years ago
A sprinter runs 100 meters in 11.5 seconds. What is the runners average rate in meters per second?
iris [78.8K]

Answer:

8.69565217391 m per sec

8.7 (1dp)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
17x-3y=4 2x-4y=1 the solution to the system of equations is
Burka [1]

ANSWER

x=\frac{13}{62}

and


y= \frac{-9}{62}e have



EXPLANATION




17x-3y=4---(1)


2x-4y=1



Let us make y the subject and call it equation (2)


2x=1+4y


x=\frac{1}{2}+2y--(2)



We put equation (2) in to equation (1)




17(\frac{1}{2}+2y)-3y=4


\frac{17}{2}+34y-3y=4



34y-3y=4- \frac{17}{2}


Simplify to get,



31y= \frac{8-17}{2}



31y= \frac{-9}{2}


Divide both sides by 31,



y= \frac{-9}{2} \div 31



y= \frac{-9}{2} \times \frac{1}{31}




y= \frac{-9}{62}


We put this value in to equation (2) to get,



x=\frac{1}{2}+2\times -\frac{9}{62}




x=\frac{1}{2} -\frac{18}{62}


We collect LCM to obtain,



x=\frac{31-18}{62}



x=\frac{13}{62}








7 0
3 years ago
WILL GIVE BRAINLIEST!! FINALS!
GenaCL600 [577]
Factor completely x³ + 6x² - 3x – 18
- 6 + 6( - 6)^{2}  - 3( - 6) - 18 \\  - 6 +6 \times 6 ^{2}  + 18 - 18 \\  - 6 + 6 ^{3}  + 18 - 18 \\  - 6 + 216 \\ 210
with a root of x = -6

the answer is 210


3 0
3 years ago
Other questions:
  • The rule is applied to ΔFGH to produce ΔF"G"H".
    9·1 answer
  • Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed
    13·2 answers
  • What is 7×11+3×3-16/2
    7·2 answers
  • Üç basamaklı en büyük sayı 25 katı kaçtır
    14·1 answer
  • Show the number 154 in two other ways
    10·1 answer
  • Write a 5 digitnumber that is divisible by 8?
    10·2 answers
  • Someone please help! what is the measure of x?
    11·2 answers
  • Easy one - giving brainly if correct!!<br>please double check my answer​
    12·1 answer
  • What is the dividend yield on Stock A that sells at
    5·1 answer
  • Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 feet, and the height is 8 feet. I
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!