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Zepler [3.9K]
3 years ago
14

Which of the following rational functions is graphed below?​

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Answer:

The answer is option A.

Step-by-step explanation:

In order to find the equation of the function, when the graph is already known to us in the question, we can use the various coordinates points through which the curve is passing from. The various Asymptotes of the graph can be used to find the expression in the denominator of the function.

So here the graph is of the form:

y=1/((x-a)(x-b))

Now when the value of x=-6 and x=6, we have the vertical asymptote, so at x=-6 and x=6 is where the vertical asymptotes lies.

Thus, we have a=6, b=-6.

And hence, the function whose graph is given will be

y=\frac{1}{\left(x-6\right)\left(x+6\right)}

which is given by option A.

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Z varies directly as x^3 and inversely as y^3. if z=59 when x=8 and y=8, find Z if x=3 and y=4
marissa [1.9K]

z=\dfrac{kx^3}{y^3}\\\\\\59=\dfrac{k\cdot 8^3}{8^3}\\k=59\\\\\\z=\dfrac{59x^3}{y^3}\\\\\\z=\dfrac{59\cdot 3^3}{4^3}=\dfrac{1593}{64}

8 0
2 years ago
HELP!! I'm not sure what goes in the blank.
natta225 [31]

Answer:

10sin^{2} (β)

Step-by-step explanation:

We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10sin^{2} (β) on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10sin^{2} (β).

You can also use double angle formulas from the previous step:

(sin(2β) = 2 sin(β) cos(β))and find that:

5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =

10sin^{2} (β) cos(β)

But since cos(β) is already present, we can see that the answer is 10sin^{2} (β)

4 0
2 years ago
6x minus 2y equals 24
Drupady [299]

Answer:

slope:-3 y-intercept 12

6 0
3 years ago
Find two consecutive integers whose sum is 95.<br><br> Let Statement(s) Equation/Solve Answer(s)
Gre4nikov [31]

47 and 48 are the integers.

Step-by-step explanation:

Let,

x and x+1 be the integers, therefore, according to statement;

x+(x+1)=95\\x+x+1=95\\2x+1=95\\2x=95-1\\2x=94\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{94}{2}\\x=47

2nd Integer = x+1

2nd Integer = 47+1

2nd integer = 48

47 and 48 are the integers.

Keywords: Addition

Learn more about addition at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

4 0
3 years ago
What is t'(x) when t(x) = In<br> x2<br> 2x2+3x+2<br> ?
Korvikt [17]

Step-by-step explanation:

2-×^2

t(×)=3×

(s o t )(x)=st(×)=s(t(x))=2-(3×)^2=2-9x^2

(s o t)(-7) =2-9(-7)^2=2-9(49)= 2-441= -439

7 0
3 years ago
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