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4 years ago

J(x) = 220/x^3 and j-x)=220/(-x)^3

Mathematics

1 answer:

Zinaida [17]4 years ago

4 0

Answer:

Option (A)

Step-by-step explanation:

If a function 'f' is an odd function,

f(-x) = -f(x)

If a function 'f' is an even function,

f(-x) = f(x)

In this question given function is,

f(x) = $\frac{220}{x^3}$

To check the given function is odd or even,

f(-x) = $\frac{220}{(-x)^{3} }$

= $-\frac{200}{x^{3}}$

Therefore, from the definition of even and odd functions,

Function 'f' is an odd function.

Option (A) will be the correct option.

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For which value of x is the row in the table of values incorrect

Westkost [7]

Answer:

x = 2 is incorrect

Step-by-step explanation:

The answer should be 3 instead of 4

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3 years ago

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Which ordered pair is the solution to the system?

Novosadov [1.4K]

Answer:

C. (4,-7)

Step-by-step explanation:

To answer this question, I just graphed the two equations. Then I found where they intersected.

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3 years ago

3. An exclusive clothing boutique triples the price of the items it purchases

Juli2301 [7.4K]

Answer:

a) MARKUP PERCENT = 200%

b) If the cost price of clothing A = $10

then its retail price = $30

If the cost price of clothing B = $25

then its retail price = $75

Step-by-step explanation:

Let us assume the original price for the clothing = a

Now, boutique triples the price of the items it purchases for resale.

So, the resale value of the item of clothing = 3 times (Original price) = 3 a

So, here: The resale Value = 3 a

a) MARK UP Percentage = $(\frac{\textrm{SP - CP}}{CP}) \times 100$

$\implies \% = (\frac{3a-a}{a} ) \times 100 = 200 \%$

or, the MARKUP PERCENT = 200%

b) Two expressions that represent retail price

If the cost price of clothing A = $10

then its retail price = 200% of 10 + 10 = 20 + 10 = $30

If the cost price of clothing B = $25

then its retail price = 200% of 25 + 25 = 50 + 25 = $75

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3 years ago

How does 2π/4 simplify to π/4?

lana [24]

It doesn't
remember that
(x/g) times (y/z)=(x time y)/(g times z) so
2pi/4=(2 times pi)/(4 times 1) so
2pi/4=2/4 times pi/1=1/2 times pi/1=pi/2

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3 years ago

X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a f

sweet-ann [11.9K]

The given equation

x/2 = y/3 = z/4

can be broken into three separate equations which I'll call equations (A), (B) and (C)

x/2 = y/3 ..... equation (A)
y/3 = z/4 .... equation (B)
x/2 = z/4 .... equation (C)

We'll start off solving for z in equation (C)

x/2 = z/4

4x = 2z ... cross multiply

2z = 4x

z = 4x/2 ... divide both sides by 2

z = 2x

Now let's solve for y in equation (A)

x/2 = y/3

3x = 2y

2y = 3x

y = 3x/2

y = (3/2)x

y = 1.5x

The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.

We won't be using equation (B) at all.

---------------------

The key takeaway from the last section is that

z = 2x
y = 1.5x

Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:

(2x-y+5z)/(3y-x)

(2x-y+5(2x))/(3y-x) ..... plug in z = 2x

(2x-y+10x)/(3y-x)

(12x-y)/(3y-x)

(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x

(12x-1.5x)/(4.5x-x)

(10.5x)/(3.5x)

(10.5)/(3.5)

We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.

5 0

3 years ago