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kompoz [17]
3 years ago
7

F(x)=2(x-3)(x-2)(x+1)

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

Answer:

2x^3-8x^2+8x+12

Step-by-step explanation:

split them up

use distributive property

2x-6(x-2)

2x^2-4x-6x+12(x+1)

use distributive property again

2x^3+2x^2-4x^2-4x-6x^2-6x+12x+12

simplify

2x^3-8x^2+8x+12

I forgot if you can divide it by 2 or not to simplify it even more. If you can, divide it by 2. I forgot the rules

If you divide it by 2, then the answer is

x^3-4x^2+4x+6

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3 is less than or equal to 7+g
Fantom [35]

2≤4 so you have to do that by seeing that 3 iss less that 7

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Simplify fully 4xy2/8xy​
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1/2y

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Show all work to identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
Nina [5.8K]

Using the asymptote concept, it is found that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}

Considering the denominator, the vertical asymptote is:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5

Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

More can be learned about asymptotes and end behavior at brainly.com/question/28037814

#SPJ1

6 0
1 year ago
Solve for x. Show your work.
Korvikt [17]

Answer:

x=6

Step-by-step explanation:

The sum of the angles is a right angle, which is 90 degrees

5x+ x+54 = 90

Combine like terms

6x+54 = 90

Subtract 54 from each side

6x+54-54 = 90-54

6x = 36

Divide each side by 6

6x/6 = 36/6

x= 6

3 0
2 years ago
Find the value of x.
OLEGan [10]

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

7 0
3 years ago
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