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Leya [2.2K]
4 years ago
11

How to determine whether a function is odd or even?

Mathematics
1 answer:
erastovalidia [21]4 years ago
3 0
That's very important, so I hope it helps:
f(-x)=f(x) if it is even (y axis folding is the same, like cos(x), or y=x^2)
f(-x)=-f(x) if it is odd(Symmetry wrt the origin, for instance, sin(x), or simply y=x!)
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The area of a parallelogram is 216 cm². The height of the parallelogram is 2/3 of its base. Find the base and height.
grin007 [14]
2 equations, 2 unknowns. Call height H and base B.

From the first sentence:
HB = 216

From the second sentence:
H = ⅔ B

Plug the second into the first and solve for B:
(⅔ B)B = 216
B^2 = 324
B = 18

Plug that back into either of the original 2 equations and solve for H:
H(18) = 216
H = 12
3 0
3 years ago
On the map, the distance between two cities is 7.3 centimeters. the map scale is 1cm:50km. what is the actual distance between t
Sergio039 [100]
Multiply 7.3cm by 50km to get the answer of 365
4 0
3 years ago
Write 2 equivalent expressions that illustrate the associative property of addition
Katen [24]
(5 + 2) + 1 = 5 + (2 + 1)
6 0
4 years ago
Write 25*24*23*22 as a quotient of factorials and as a permutation
Kipish [7]

Answer:

(a)

25\times 24\times 23\times 22=\frac{25!}{21!}

(b)

25\times 24\times 23\times 22=P(25,4)

Step-by-step explanation:

Quotient of factorials:

we are given

25\times 24\times 23\times 22

we can multiply top and bottom term by 21!

25\times 24\times 23\times 22=\frac{25\times 24\times 23\times 22\times 21!}{21!}

we can write as

25\times 24\times 23\times 22=\frac{25!}{21!}

As a permutation:

we know permutation formula

P(n,r)=\frac{n!}{(n-r)!}

now, we can compare and find 'n' and 'r'

n=25

n-r=21

we can plug back n=25

25-r=21

r=4

so, we can write

25\times 24\times 23\times 22=P(25,4)

5 0
3 years ago
To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water.
Mariulka [41]

Answer:

Noah's recipe because he uses less water per scoop of powder than Andre does.

6 0
3 years ago
Read 2 more answers
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