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3 years ago

At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply. f(x)=x+4/x^2+5x-24

Mathematics

1 answer:

mr Goodwill [35]3 years ago

3 0

Answer:

x = -8 & at x = 3

Step-by-step explanation:

This is a rational function.

We can get the values of x at which vertical asymptotes occur by setting the denominator equal to 0 and solving for x.

Let's do this:

$x^2+5x-24=0\\(x+8)(x-3)=0\\x=-8,3$

Hence, vertical asymptotes occur at x = -8 & at x = 3

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A man standing near a building notices trhat the angle of elevation to the top of the buiilding is 64. he then walks 240 feet fa

trasher [3.6K]

See the picture attached to better understand the problem
we know that
in the right triangle ABC
tan 64°=AB/AC------> AB=AC*tan 64°-----> AB=x*tan 64°---> equation 1

in the right triangle ABD
tan 43°=AB/DA----> AB=DA*tan 43°---> AB=(240+x)*tan 43°---> equation 2

equate equation 1 and equation 2
x*tan 64°-=(240+x)*tan 43°---->x*tan 64=240*tan 43+x*tan 43
x*[tan 64-tan 43]=240*tan 43-----> x=240*tan 43/[tan 64-tan 43]
x=200.22 ft

AB=x*tan 64----> AB=200.22*tan 64-----> AB=410.51 ft

the answer is
410.51 ft

3 0

3 years ago

Helppppp 78 squared to the 3rd

just olya [345]

The answer would be:

6 0

3 years ago

(Worth 11 points) I have this semester a unit test and i reallllllly need help wif this question, I will mark you. But im really

olga nikolaevna [1]

Answer:

r u finding the slope? bc the slope is -3/1.5

the y intercept is -3

the x intercept is -1.5

Step-by-step explanation:

hope this helped!!! and if i didnt, im sorryyy!!

8 0

3 years ago

Read 2 more answers

4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4

eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

$a_n=a_1+d(n-1)$ and we are given enough info to fill in:

$a_n=-35+4(n-1)$ and

$a_n=-35+4n-4$ and

$a_n=-39+4n$ or in linear format:

$a_n=4n-39$ where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

$a_2=4(2)-39$ so

$a_2=8-39$ and

$a_2=-31$

The third term:

$a_3=4(3)-39$ and

$a_3=12-39$ so

$a_3=-27$ and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.