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Fudgin [204]
3 years ago
13

F(x) = 3x^4 is even or odd?

Mathematics
2 answers:
tia_tia [17]3 years ago
8 0

Answer:

even function

Step-by-step explanation:

recall that:

a function is EVEN if and only if f(-x) = f(x) for all x in the domain of f

a function is ODD if and only if f(-x) = -f(x) for all x in the domain of f

we observe that for the function

f(x) = 3x^4

because x has been raised to an even power, that f(x) will always be positive (or zero), regardless of whether x is negative or positive.

i.e

f(x) = f(x)   and   f(-x) = f(x)

This behavior is described by the definition of an EVEN function (given above)

Hence f(x) is an even function

lara31 [8.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

it's even because f(-x)=f(x)

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at the local baseball diamond,the distance from home base to second base is 100 feet. Determine the distance from home base to f
Archy [21]

Answer:

  70.7 ft

Step-by-step explanation:

The triangle formed by home plate, first base, and second base is an isosceles right triangle with hypotenuse 100 ft. Then the side length (base-line distance between bases) is (100 ft)/√2 ≈ 70.7 ft.

___

For an isosceles right triangle with side lengths 1, the hypotenuse can be found from the Pythagorean theorem to be ...

  hypotenuse = √(side² + side²) = √(1²+1²) = √2

Then the diamond distances satisfy the proportion ...

  hypotenuse/side = 100 ft/(base distance) = √2/1

or ...

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8 0
3 years ago
The perimeter of a rectangle is twice the
Shkiper50 [21]

Answer:

L=16 W=7

Step-by-step explanation:

P=2(L+W)

L=2W+2

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(16-2)/2=7×2=14

32+14=46 or 16+16+7+7=46

3 0
3 years ago
Find the missing angle measurements for each problem below and drag the answers into the correct blanks.
jeyben [28]

Step-by-step explanation:

4)180-57.8=123.3

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4 0
2 years ago
True or false ???????????????please help
Dovator [93]
1  True   because 19^3  = 6859
2. False
3. True because 8000 ^1/3  can be written as 100^1/3 * 8^1/3
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If you have a scientific calculator you can check these out yourself
7 0
3 years ago
in a recent year one United States dollar was equal to about 82 Japanese yen how many Japanese yen are equal to $1,00 $1,000 $10
Yuki888 [10]
In a recent year, one United States dollar was equal to about 82 Japanese. How many Japanese yen are equal $100?$1,000?$10,000 
<span>Given is: </span>

<span>1 USD = 82 Japanese Yen   </span>

<span>Conversion: </span><span>

1.  100 USD x 82 JY / 1 USD = 8, 200 Japanese Yen</span> <span>
2.  1000 USD x 82 JY / 1 USD = 82, 000 Japanese Yen</span> <span>
3.  10, 000 USD x 82 JY / 1 USD = 820, 000 Japanese Yen</span> 
5 0
3 years ago
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