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
leonid [27]
3 years ago
12

Given that f(a+b)= f(a) + f(b) and f(x) is always positive, what os the value of f(0)?

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0
This is a strange question, and f(x) may not even exist. Why do I say that? Well..

[1] We know that f(a+b) = f(a) + f(b). Therefore, f(0+0) = f(0) + f(0). In other words, f(0) = f(0) + f(0). Subtracting, we see, f(0) - f(0) = f(0) or 0 = f(0).

[2] So, what's the problem? We found the answer, f(0) = 0, right? Maybe, but the second rule says that f(x) is always positive. However, f(0) = 0 is not positive!

Since there is a contradiction, we must either conclude that the single value f(0) does not exist, or that the entire function f(x) does not exist.

To fix this, we could instead say that "f(x) is always nonnegative" and then we would be safe.
You might be interested in
A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 rep
Rasek [7]
The answer is the surface of the ocean
5 0
3 years ago
Read 2 more answers
A planet's year is the time it takes that planet to revolve around the Sun. A Mars year is 1.88 Earth years. If you are 13 years
Nata [24]
Mars year is 1.88 of your Earth years.
So if you are 13,

1.88 x 13=24.44, or 24 years old, I think.
6 0
3 years ago
Select the true statement about triangle ABC.
zmey [24]

Answer:

C

Step-by-step explanation:

sin C=12/13

cos A=12/13

so sin C=cos A

3 0
2 years ago
Express , twelve times a number minus six is less than or equal to
xenn [34]

Answer:

12x - 6 ≤ - 18

Step-by-step explanation:

We will call "a number" x so

Twelve times a number would be:

12x

Then minus 6

12x - 6

Now we add the less than or equal to sign.

12x - 6 ≤

This is equal to negative eighteen, so:

12x - 6 ≤ - 18

As a bonus we can also solve for x.

12x - 6 = - 18    Add 6 to each side.

12x - 6 + 6 = -18 + 6

12x = -18 + 6

12x = -12  Divide each side by 12

12x/12 = -12/12

x = -12/12

x = -1

So we can say when x ≤ -1 Then 12x - 6 ≤ -18

3 0
3 years ago
Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra
Sedbober [7]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

8 0
3 years ago
Other questions:
  • Just do #6, giving all I have!
    5·1 answer
  • Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. which of the follwing statements is correct
    7·1 answer
  • in order to encourage students to show up early to a school dance , the dance comittee decides to charge less for those who come
    12·1 answer
  • Need help please :) I've done the steps for how I thought I should solve this, but at the end I got stuck.
    14·1 answer
  • If Smith is guilty, then Jones is innocent. If Jones is innocent, then Smith is guilty. Write each biconditional statement in ex
    6·1 answer
  • The sum of three numbers is 129. The third number is 4 times the first. The first number is 9 less than the second. What are the
    9·1 answer
  • Earlier in this course, you explored Euclidean geometry, which is the study of flat space. This approach follows the teachings o
    14·1 answer
  • Eric is sewing a border around a rectangular quilt. The quilt measures 5 feet by 7 feet. How much border material should Eric bu
    10·1 answer
  • What is the mean of this data? 7,5,5,3,2,2
    15·1 answer
  • Rewrite the question in slope-intercept form:<br> 2x-4y-12= -13-2x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!