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Karolina [17]
3 years ago
12

Which of the following is an odd function

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Given the functions

(a) f(x) = x³ + 5x² + x

(b) f(x) = x² + x

(c) f(x) = -x

Function (a)

f(-x) = (-x)³ + 5(-x)² + (-x)  

      = -x³ + 5x² - x

      = -(x³ - 5x² + x)

The function is neither even nor odd.

Function (b)

f(-x) = (-x)² + (-x)

       = -(-x² + x)

The function is neither even nor odd.

Function (c)

f(-x) = -(-x)  

      = x

      = -f(x)

Because f(-x) = -f(x) the function is odd.

Answer: f(x) = -x is an odd function.

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Answer:

A) 24

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Hope it helps you

3 0
3 years ago
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3 years ago
Can someone just please explain why in PEMDAS for example: 6 + 9 ÷ 3 × 7. Why do you do the division (9/3) before the multiplica
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7 0
3 years ago
Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the
nignag [31]

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

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3 0
3 years ago
Esmerelda is five times as old as Ruth. Four years ago, the sum of their ages was 22 years. How old is each now?
Lina20 [59]

Answer:

Ruth is  x+4=7/3+4,   esmerelda  is  5x+4=35/3+4

Step-by-step explanation:

if Ruth is x, esmerelda is 5x,

four years ago,

Ruth is x+4,  esmerelda is 5x+4,  depend on the sum, we get:

x+4+5x+4=22, x=7/3

so:

Ruth is  x+4=7/3+4,   esmerelda  is  5x+4=35/3+4

7 0
3 years ago
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