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Licemer1 [7]
3 years ago
6

Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to x plus quan

tity 12 over x
Mathematics
2 answers:
Svetach [21]3 years ago
8 0

y = x + 4/x

replace x with -x. Do you get back the original equation after simplifying. if you do, the function is even. replace y with -y AND x with -x. Do you get back the original equation after simplifying. If you do, the function is odd. A function can be either even or odd but not both. Or it can be neither one. Let's first replace x with -x

y = -x + 4/-x = -x - 4/x = -(x + 4/x)

we see that this function is not the same because the original function has been multiplied by -1 . Let's replace y with -y and x with -x

-y = -x + 4/-x

-y = -x - 4/x

-y = -(x + 4/x)

y = x + 4/x

This is the original equation so the function is odd.

Lemur [1.5K]3 years ago
4 0

Answer:

Neither even nor odd.

Step-by-step explanation:

A functio f(x) is even if f(-x)=f(x) for all x in the domain.

A function f(x) is odd if f(-x)=-f(x) for all x in the domain.

First note that

f(x)=\dfrac{x+12}{x}

hence

f(-x)=\dfrac{-x+12}{-x}=\dfrac{(-1)(x-12)}{(-1)x}=\dfrac{(x-12)}{x}\neq f(x)

which tells us that the function is not even.

On the other hand,

-f(x)=-\dfrac{x+12}{x}=\dfrac{-x-12}{x}\neq f(-x)

which tells us that the function is not odd.

Therefore, f(x) is neither even nor odd.

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Answer:

His average speed for the rest of the journey was of 48mph.

Step-by-step explanation:

We use the following relation to solve this question:

v = \frac{d}{t}

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First 32 miles at an average speed of 64mph.

So the time for these 32 miles is:

64 = \frac{32}{t}

64t = 32

t = \frac{32}{64}

t = 0.5

Rest of the trip:

200 - 32 = 168 miles in 4 - 0.5 = 3.5 hours. So the average speed is of:

v = \frac{d}{t} = \frac{168}{3.5} = 48

His average speed for the rest of the journey was of 48mph.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Check each equation whose graph is the line that
yanalaym [24]

Answer:

Points P ( 4 , - 7 ) and  Q ( 1 , 5 ) belong to the equations:

1  ;  4  ;  and  5

Step-by-step explanation:

Equations 1 ; 4 and 5 are the same equation

Equation 1    y  =  - 4*x + 9

Equation 4

y + 7 = - 4 * ( x - 4 )   ⇒  y + 7  = - 4*x + 16   ⇒ y = - 4*x - 7 + 16

y = -4*x + 9

Equation 5

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Now for the equation y = - 4*x + 9

P ( 4 , -7)

For x = 4    y = - 4*(4) + 9     ⇒  y = - 16 +  9    ⇒  y = - 7

Then point P is in the line  y = - 4*x + 9

Point Q (1 , 5 )

For x = 1    y = - 4 * ( 1) + 9     ⇒  y = - 4 + 9    ⇒  y = 5

Point Q is in the line y = - 4*x + 9

Equation 2

y = - 4*x - 23

Point P ( 4 , - 7 )

For x = 4       y  = 16 - 23   y  = - 7

Point P is in the line

Point Q

For x = 1     y = - 4 *(1) - 23      ⇒   y = - 27

Then poin Q is not in the line

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y - 1 = - 4 * ( x - 4 )

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For x = 4

y = - 16 + 17   ⇒ y = 1    

Point P is not in the line

And Point Q ( 1 , 5 )

For  x = 1

y = - 4* ( 1 ) + 17    ⇒  y  = 13    Q is not in the line

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if the side of a cube measures 1/3 ft, and there are 108 cubes in a box - with no gaps- what is the volume of the box?
Firlakuza [10]
Answer:108ft^3

Step by step solution: See photo

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