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3 years ago

Write an equation of a rational function that has a hole at 3, a vertical asymptote at -4 and a horizontal asymptote at 2

1 answer:

6 0

F(x)=2x(x-3)/(x+4)(x+3), Creation of the hole: have 3 as a solution for both numerator and denomenator
Formation of a vertical asymptote at -4: have the denominator equal to zero when plugging in -4 such that the denominator equals to zero,
horizontal asymptote: have the highest degree of numerator and denominator equal and the quotient of their coefficient equal to 2(ever wonder why there is an "x" in the numerator? It is to set the highest degree of the numerator and denominator equal to each other.
If you need more explanations, ask, glad to help.

You might be interested in

The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height

goblinko [34]

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

$v = 1.54 \: l$

$v = 1540 \: {cm}^{3}$

$v = \pi \times {r}^{2} \times h$

Let πr² be 77,

Let v be 1540,

$1540 = 77 \times h$

$77h = 1540$

$h = 1540 \div 77$

$h = 20 \: cm$

5 0

3 years ago

A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sol

miv72 [106K]

Answer:

105 psychology textbooks. 189 physics textbooks.

5 0

3 years ago

5. Translate into an equation. Negative seven less than the product of a

elena-s [515]

Answer:

-7-x+-2=-7

Step-by-step explanation:

Negative Seven Less than a product= -7-x

adding negative two= -7-x+-2

this equation equals -7

the equation put together is= -7-x+-2=-7

Hope this helps

4 0

3 years ago

I need help with this one

Aleksandr [31]

Answer:

58 degrees

Step-by-step explanation:

The little square in the corner signals a right angle/a 90 degree angle. If x and 32 add up to 90, then x is 58.

7 0

2 years ago

There are total of 84 students in the robotics club and the science club. The science club has 12 more students than the robotic

kari74 [83]

First off we have x number of students in the robotics club, 12 more in the Science club, and 84 students in total. This means:
Robotics Club = x
Science Club = (x + 12)
Total = 84

Okay, so here's the equation:

x + (x + 12) = 84 ~ Add like terms.
2x + 12 = 84 ~ Subtract 12 by both sides.
2x = 72 ~ Divide both sides by 2.
x = 36 ~ Meaning that the Robotics Club has 36 members.

At this point you can do: 84 - 36 = 48 which gives you the number of members in the Science Club, though...:

36 + (36 + 12) = 84 ~ Add the two in the parenthesis to get your answer.
36 + 48 = 84 ~ 48 is the number of Students in the Science Club.
84 = 84

In conclusion: The Science Club has 48 students.

Hope that helps. ^ ^
{-Ghostgate-}

8 0

3 years ago