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Stella [2.4K]
2 years ago
8

ss="latex-formula">
Mathematics
2 answers:
dolphi86 [110]2 years ago
5 0

Answer:

i dont know, sorry

Step-by-step explanation:

never [62]2 years ago
4 0

Answer:

I have attached an image for the answer

please mark as brainliest thanks!

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Prove algebraically if the following functions are even, odd, or neither. (12 points)
alukav5142 [94]

Answer:

  a. even

  b. odd

  c. odd

  d. even

Step-by-step explanation:

We suppose that "prove algebraically" means that you are to substitute -x for x in each equation and show that f(x) = -f(-x) for an odd function, and that f(x) = f(-x) for an even function.

It is easier to do this generically, so that you can make use of the rule that ...

  • if a polynomial function consists only of even-degree terms, it is an even function
  • if a polynomial function consists only of odd-degree terms, it is an odd function

__

So, for even-degree, we can assume that the polynomial is of the form ...

  f(x) = ax^2 + b

Then we have ...

  f(-x) = a(-x)^2 +b = (-1)^2·ax^2 +b = ax^2 +b

or ...

  f(-x) = f(x) . . . . regardless of the values of "a" and "b"

__

For an odd-degree function, we can assume that the polynomial is of the form ...

  g(x) = x·f(x) . . . . where f(x) is of even degree

Then ...

  g(-x) = -x·f(-x) = -x·f(x) . . . . since f(x) = f(-x) as shown above

or

  g(-x) = -g(x) . . . . . . . . regardless of the coefficients in f(x)

__

a. f(x) matches the form of our even-degree f(x) above, so is even.

b. g(x) matches the form of our odd-degree g(x) above (with a=0), so is odd.

c. h(x) = x(5x^2 -1) matches the form of our odd-degree g(x), so is odd.

d. f(x) matches the form of our even-degree f(x) above, so is even.

_____

<em>Comment on the problem</em>

For part (b), we have assumed that "x +1x" means 2x. If it is supposed to be something else, it needs to be properly written. (x+1/x is an odd function, because -x+1/(-x) = -(x +1/x).)

8 0
2 years ago
Do u guys have a clue on this?
pychu [463]

Answer:

3rd then 1st then 2nd then 4th

also pls give me brainliest

7 0
2 years ago
-3j - (-4) over -6 = 12 j= ? ​
babymother [125]

Answer:

j =76/3

Step-by-step explanation:

-3j -  -4

------------------ = 12

-6

Multiply each side by -6 to clear the fraction

-3j +4

------------------ * -6 = 12 *-6

-6

-3j +4 = -72

Subtract 4 from each side

-3j +4-4 = -72 -4

-3j = -76

Divide each side by -3

-3j/-3 = -76/-3

j = 76/3

5 0
3 years ago
Compare 1/5 and 0.201
Scrat [10]
We\ convert\ \frac{1}{5 }\ into\ decimal\\\\&#10;\frac{1}{5}=\frac{20}{100}=0,2\\\\\&#10;Now\ compare\ \frac{1}{5}=0,2\ and\ 0,201:\\\\&#10;0,201>\frac{1}{5}
8 0
3 years ago
Matt has answered 20/25 of the question on a test . What percent of test Questions has Matt answers
sergey [27]

you need to make the fraction to 100

100/25=

you multiply 20x4

80

6 0
3 years ago
Read 2 more answers
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