3 years ago

At which value of x does the graph of the function F(x) have a vertical asymptote?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

6 0

Answer:

x = -8 & x = 3

Step-by-step explanation:

Vertical asymptote occur when denominator is 0.

So to find the x-values, we need to middle term factor the denominator. Shown below:

$x^2+5x-24\\=(x+8)(x-3)\\x=3, -8$

Thus, at x = 3 and at x = -8 -- there is vertical asymptote.

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GREYUIT [131]

Answer:

The answer is 64.

Step-by-step explanation:

To find the volume of a prism, you multiply l x w x h (length x width x height). The length is 8, width is 4, height is 2. 8 x 4 = 32, 32 x 2 = 64.

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8 0

3 years ago

In how many ways can the letters of the word POLICEMAN be arranged if the 'word' must begin with L and end with a vowel? & W

Vladimir79 [104]

Answer:

20160 ways

Probability = 0.0556

Step-by-step explanation:

We have 9 different letters, so the total number of words we can make is:

$Total = 9! = 362880\ words$

If we want just the words that begin with L and end with a vowel, we would have the first letter "locked", so we have 8 letters remaining, and it must end with a vowel, so the last "slot" has just 4 possible values (A, E, I or O). Then we would have 4 possible values for the last letter and 7 remaining letters in the middle of the word:

$N = 4 * 7! = 4*7*6*5*4*3*2 = 20160\ words$