All categories

2 years ago

Which of the following expressions is this one equivalent to?

Mathematics

1 answer:

schepotkina [342]2 years ago

3 0

Answer: C. x-2

Step-by-step explanation:

We have the following expression:

$\frac{x^{4} -2x^{3} +x-2}{x^{3}+1}$

Factoring in the numerator:

$\frac{x(x^{3}+1)-2(x^{3}+1)}{x^{3}+1}$

Factoring again in the numerator with common factor $x^{3}+1$ :

$\frac{(x^{3}+1)(x-2)}{x^{3}+1}$

Simplifying:

$x-2$

Hence, the correct option is C. x-2

You might be interested in

If 3x + 6 = 21, what does x + 2x plus 2 equal?

Alex777 [14]

Answer:

x+2x+2=17

Step-by-step explanation:

I'm assuming that's what you're asking, so here is the answer explanation.

3x+6=21

3x=15

Hence, x=5

Apply x=5 to x+2x=2

5+10+2

=17

3 0

1 year ago

What are the domain and range of the algebraic function you found by graphing the equation y = 36 – 3x? Please hurry I'm being t

pychu [463]

Answer:

Domain $=(-\infty,\ \infty)$

Range $=(-\infty,\ \infty)$

Step-by-step explanation:

Domain : Domain of a function $f(x)$ is the set of all possible values of $x$ for which $f(x)$ exists.

Range : range of a function $f(x)$ is the set of all possible values of $f(x)$ .

Here $f(x)=36-3x$

$x$ can be any value from $-\infty$ to $\infty$ .

$\forall\ x=a\ there\ exists\ f(x)\ such\ that\ f(a)=36-3a$

hence possible value of $x$ can be any value between $-\infty$ and $\infty$

$domain =(-\infty,\ \infty)$

let $y=-f(x)$

$y=36-3x\\3x=36-y\\\\\\x=\frac{36-y}{3}\\$

so $\forall\ f(x)=y\ there\ exist\ x\ \in(-\infty,\ \infty)$ .

hence $f(x)$ can have any value between $-\infty\ to\ \infty.$ .

Range $=(-\infty,\ \infty)$

4 0

2 years ago

Explain me how to do it plssss I need help

pashok25 [27]

2 divided by 47 so d....
Because they say fraction of this listed species are endangered plants
So you use total amount of endangered plant,2....and divide it by the total amount in the whole list 47

5 0

2 years ago

In Art class, there was a bucket of markers on the counter with nine blue, six green, and ten orange markers. Each student will

Oxana [17]

Answer: 19/25

Step-by-step explanation:

There are 25 markers in total and 6 of them are green. The odds of a student not getting a green marker would be the number of markers that aren’t green out of 25

25 - 6 = 19

19/25

6 0

2 years ago

5x minus 6 equal 44?

Lisa [10]

Answer:

x = 10

Step-by-step explanation:

I'm not entirely sure what you're asking, however we know that:

5x-6=44

5x must be 50, as 50-6=44

50 divided by 5 is 10, so 10x

6 0

3 years ago

Read 2 more answers