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V125BC [204]
3 years ago
8

Let f(x) = |x| / x , where x can be any real number except 0.

Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer: Hello there!

we have the function f(x) = IxI/x

Then this function can be piecewise writen as:

f(x) = 1 if x > 0

f(x) = -1 if x < 0

because:

suposse that n is a number greater than 0, then:

f(n) = InI/n = n/n = 1

and this is independent of the number n, so for all the positive values of x, we have f(x) = 1

and

f(-n) = I-nI/(-n) = n/(-n) = -1

and again, this does not depend on the value of n, so for all the negative values of x, we have f(x) = -1.

On the other hand, the Heaviside function is defined as:

H(x) = 1 if x>0

H(x) = 0 if x<0

Then the difference is that, when the Heaviside function takes the value of 0 for negative values of x, our function f(x) takes the value of -1 for negative values of x.

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Simplify (-3c^-3w^5)^3<br> A -9w^8<br> B. -27cw^8<br> C. w^15/27c^9<br> D.-27w^15/c^9
kenny6666 [7]

Answer:

\large\boxed{D.\ \dfrac{-27w^{15}}{c^9}}

Step-by-step explanation:

(-3c^{-3}w^5)^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=(-3)^3(c^{-3})^3(w^5)^3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=-27c^{-3\cdot3}w^{5\cdot3}=-27c^{-9}w^{15}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=-27\left(\dfrac{1}{c^9}\right)w^{15}=\dfrac{-27w^{15}}{c^9}

4 0
3 years ago
Select the TWO true statements. A. Two squares with the same side lengths are always congruent. B. Two rectangles with the same
Anastasy [175]

Answer:

A and C

Step-by-step explanation:

This would be the correct answers because they are congruent and dilated from each other

3 0
3 years ago
Julia's service charge at a beauty salon was $72.60, before tax. The sales tax rate was 8%. If she added 20% of the amount befor
Ivan
Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax = 20%
Then amount of tips given by Julia = (20/100) * 72.60
                                                       = (1/5) * 72.60
                                                       = 14.52 dollars
Then the amount in total paid by Julia before adding service tax = (72.60 + 14.52) dollars
                                                                                                      = 87.12 dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12.
Then
Amount of sales tax given by Julia = (8/100) * 87.12
                                                       = 696.96/100
                                                       = 6.969
                                                       = 6.97 dollars
So the total amount paid by Julia for the service at the salon = (87.12 + 6.97) dollars
                                                                                                 = 94.07 dollars
Julia paid a total of $94.07 for the service she received at the salon.

5 0
3 years ago
An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here i
Vlad1618 [11]

Answer:

D

Step-by-step explanation:

A is not right as we don't know the formula used so we cant say the x intercept

B is not right as the function is not liner

C The function is not liner

That leaves D!

hope this helps!

4 0
3 years ago
Help me plss
sattari [20]
I think the answer is 21
3 0
2 years ago
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