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
marusya05 [52]
3 years ago
9

Prove that the sum of two odd functions is odd.

Mathematics
1 answer:
katrin [286]3 years ago
7 0
Odd function: f(-x) = -f(x)

Let two odd functions be f(x) and g(x)

Let k(x) = f(x) + g(x)

Then k(-x) = f(-x) + g(-x) = -(f(x) + g(x)) = -k(x)

So k(x) is odd too.
You might be interested in
Calculate the new balance of an account that has been sitting for three years with a 1.5% interest rate and had an initial depos
maksim [4K]

Answer:

$5225

Step-by-step explanation:

Use the formula for the amount after simple interest: A = P(1 + rt)

"A" is the final amount, or balance.

"P" is the principal, or the starting amount.

"r" is the rate of interest in decimal form.

"t" is the time.

What we know:

P = 5000

t = 3

r = 1.5%

Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.

1.5% => 0.015 = r

Substitute what we know into the formula:

A = P(1 + rt)

A = 5000(1 + (0.015)(3))     <=simplify

A = 5000(1 + 0.045)

A = 5000(1.045)

A = 5225     <= new balance

The new balance of an account is $5225.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%202x%2B31%3D5%7D" id="TexFormula1" title="\boxed{\sf 2x+31=5}" alt="\boxed{\s
AleksAgata [21]

2x + 31 = 5

2x = 5 - 31

2x = -26

x = -26/2

x = -13.

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

3 0
2 years ago
Read 2 more answers
6 boys on the baseball team split 9 cupcakes after the game what fraction of the cupcakes did each boy get?
NNADVOKAT [17]

Answer:

2/3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Put these integers in order from least to greatest.<br> 34, 0, – 17, - 56 , 5
tigry1 [53]

Answer: -56 -17 0 5 34

Step-by-step explanation:

The more left you go on a number line the smaller it is

7 0
2 years ago
Read 2 more answers
HELP WITH THIS QUESTION PLEASE!!
svetlana [45]

m<PQS = m<SQR

4y - 10 = 2y + 10

2y = 20

y = 10

m<PQR = m<PQS + m<SQR

= 4y - 10 + 2y + 10

= 6y

= 6•10

= 60

3 0
3 years ago
Other questions:
  • If a 40-foot tree casts a 12-foot shadow, find the length of the shadow cast by a 28-foot tree
    12·2 answers
  • Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 ft, and the height is 8 ft. It ta
    13·2 answers
  • 3/4 x 21 show your work
    10·1 answer
  • Math question plz give answer with explanation will report if it is a non-sense answer. I just want to make sure I am doing it r
    10·1 answer
  • 10x + 15 <br> So what is the equation of x !??!?
    11·1 answer
  • Can someone please answer this question please answer it correctly and please show work please I need it please
    7·1 answer
  • Can someone Find X and Y
    10·1 answer
  • A triangle was dilated by a scale factor of 2. If cos a° = three fifths and segment FD measures 6 units, how long is segment DE?
    11·2 answers
  • Find the length of the third side. If necessary, round to the nearest tenth.<br> 20<br> 25
    5·2 answers
  • Hey! please help i’ll give brainliest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!