You have 5 different video games. how many different ways can you arrange the games side by side on a shelf?

1 answer:

6 0

Heya !

No. of ways to arrange n objects is n!
[ When there's no conditions ]

Hence , number of ways we can arrange 5 games is 5! = 120 Ans.

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Which of the following rational functions is graphed below?

vampirchik [111]

Answer:

The correct option is D.

i.e.

$f\left(x\right)=\frac{1}{x\left(x+4\right)}$ is the correct option.

The correct graph is shown in attached figure.

Step-by-step explanation:

Considering the function

$f\left(x\right)=\frac{1}{x\left(x+4\right)}$

$\mathrm{Domain\:of\:}\:\frac{1}{x\left(x+4\right)}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x$

$\mathrm{Range\:of\:}\frac{1}{x\left(x+4\right)}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:-\frac{1}{4}\quad \mathrm{or}\quad \:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{1}{4}]\cup \left(0,\:\infty \:\right)\end{bmatrix}$

$\mathrm{Axis\:interception\:points\:of}\:\frac{1}{x\left(x+4\right)}:\quad \mathrm{None}$

$\mathrm{Extreme\:Points\:of}\:\frac{1}{x\left(x+4\right)}:\quad \mathrm{Maximum}\left(-2,\:-\frac{1}{4}\right)$

So, the correct graph is shown in attached figure.

Therefore, the correct option is D.

i.e.

$f\left(x\right)=\frac{1}{x\left(x+4\right)}$ is the correct option.

7 0

3 years ago

How do you find the perimeter on a coordinate plane

hoa [83]

Answer: You draw the shape on the coordinate plan and then you can count the number of unit squares

Step-by-step explanation:

4 0

8 months ago

Factorise- 6y-15y^2 HELP

Citrus2011 [14]

We will take the common terms in the expressions-

Here in the expression, 3y is a common term.
So,

$6y - 15y^{2}$

$3y(2 - 5y)$

So, the answer is $3y(2 -5y)$