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ICE Princess25 [194]

3 years ago

9

All the info is in the pictures

1 answer:

Hunter-Best [27]3 years ago

6 0

Bearing in mind that an absolute value expression is in effect a piece-wise function with two cases, thus

$\bf |-n|=
\begin{cases}
+(-n)\\
-(-n)
\end{cases}\implies 
\begin{cases}
-n\\
n
\end{cases}
\\\\\\
n|-n|=2n\implies 
\begin{cases}
n-n=2n\implies 0=2n\implies &0=n\\
n+n=2n\implies 2n=2n\impliedby &inconsistent
\end{cases}$

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If you divide any natural number n by 4, you get a remainder r.

blondinia [14]

Given:

If you divide any natural number n by 4, you get a remainder r.

To find:

The values of r if $n=13;34;43;100$ . Also find the domain and range.

Solution:

It is given that any natural number n by 4, you get a remainder r.

$\dfrac{n}{4}=q+\dfrac{r}{4}$

Where, n is a natural number, q is quotient, r is the remainder.

For $n=13$ ,

$\dfrac{13}{4}=3+\dfrac{1}{4}$

So, $r=1$ .

For $n=34$ ,

$\dfrac{34}{4}=8+\dfrac{2}{4}$

So, $r=2$ .

For $n=43$ ,

$\dfrac{43}{4}=10+\dfrac{3}{4}$

So, $r=3$ .

For $n=100$ ,

$\dfrac{100}{4}=25+\dfrac{0}{4}$

So, $r=0$ .

Therefore, the required value are $r=1,2,3,0$ if $n=13;34;43;100$ respectively.

The domain of the function is $\{13,34,43,100\}$ and the range of the function is $\{1,2,3,0\}$ .

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3 years ago

Can somebody plz help?

Natalija [7]

Answer:

what do you need I'm not the smartest person but I may be able to help :)

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Scientists often write very large or very small numbers using exponents. How might a scientist write the number shown using expo

Ludmilka [50]

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3 years ago

brad grew 4 1/4 inches this year and is now 56 7/8 IN tall write and solve an equation to find Brads height at the start of this

olga55 [171]

You just subtract the amount he grew from his actual height. 56 7/8 minus 4 1/4 would be 52 5/8 inches.

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The signs show the costs of different games at a math festival. How much would it cost n people to play Decimal Decisions and Ra

Oduvanchick [21]

Answer:

$ $(21.70 - \frac{3n}{4})$

Step-by-step explanation:

See the sign attached to the question.

The sign shows the costs of different games at a math festival.

The Decimal Decision game costs $(12.70 - n + 9) for n people to play.

And, The Ratio Rage game costs $ $\frac{n}{4}$ for n peoples to play.

Therefore, it will cost $ $(21.70 - n + \frac{n}{4}) = (21.70 - \frac{3n}{4})$ Dollars. (Answer)

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3 years ago