Ask question

Ask question

All categories

4 years ago

9

Why is it useful to know the definition of rational expression? Explain through an example of your own.

1 answer:

tino4ka555 [31]4 years ago

5 0

Answer:

a rational number is an expression in which the numerator and denominator are polynomials. this is useful to know because often polynomials can be factorized. besides, if there is a variable in the denominator, there will be one or more restrictions.

example: (4x²-25)(2x+5) is simplified to 2x-5 with restrictions x≠-5/2

You might be interested in

Look in the image to answer please help!!

iren [92.7K]

There you go.
let me know if it's unclear

4 0

3 years ago

for p(x)= 192 + 21x^3 + 54x^2 - 3x^4 - 264x, use synthetic substitution to evaluate p(1), p(-2), and p(8)

RSB [31]

The value of p(1), p(-2), and p(8) is 0, 744 and 0 respectively

<h3>What is polynomial function?</h3>

Given the function $p(x)= 192 + 21x^3 + 54x^2 - 3x^4 - 264x$

We are to get the following parameters:

$p(1)= 192 + 21(1)^3 + 54(1)^2 - 3(1)^4 - 264(1)\\p(1)=192+21+54-3-264\\p(1)=0$

For p(-2)

$p(-2)= 192 + 21(-2)^3 + 54(-2)^2 - 3(-2)^4 - 264(-2)\\p(-2)=192-168+216-24+528\\p(-2)=744$

For p(8)

$p(8)=192 + 21(8)^3 + 54(8)^2 - 3(8)^4 - 264(8)\\p(8)=192+10,752+3,456-12,288-2,112\\p(-2)=0$

Hence the value of p(1), p(-2), and p(8) is 0, 744 and 0 respectively

Learn more on polynomials here: brainly.com/question/4142886

7 0

3 years ago

You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. Whe

Snowcat [4.5K]

You have to watch 30 movies to earn a free movie pass.

Step-by-step explanation:

Given,

Points earned for each movie = 2 points

Current points = 40 points

Free movie pass = 100 points

Let,

x be the number of movies you have to watch.

2*number of movies + current points = 100

$2x+40=100$

Subtracting 40 from both sides

$2x+40-40=100-40\\2x=60$

Dividing both sides by 2

$\frac{2x}{2}=\frac{60}{2}\\x=30$

You have to watch 30 movies to earn a free movie pass.

Keywords: linear equation, division

Learn more about division at:

#LearnwithBrainly

5 0

3 years ago

Evaluate -1-(-z) when z=-2

FrozenT [24]

Answer:

the answer is 1.

Step-by-step explanation:

=−1−(−2)

=−1+2

=1

7 0

3 years ago

Let the diameter of the circle be 5 cm. Find the area of the circle in square cm.

Aliun [14]

Area Of Circle:

=3.14 • (2.5)^2

=3.14 • 6.25

=19.625cm or 19.63

8 0

3 years ago