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Lostsunrise [7]
2 years ago
7

Which function has the following characteristics?

Mathematics
1 answer:
iren [92.7K]2 years ago
4 0

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at y = -\frac{1}{2} is given by:

f(x) = -\frac{x}{2(x - 3)}

<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.

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

f(x) = \frac{g(x)}{x - 3}

The horizontal asymptote at y = -1/2 means that:

\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}

Which happens if g(x) = -\frac{x}{2}, hence the function is:

f(x) = -\frac{x}{2(x - 3)}

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

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A box is to be made out of a 8 cm by 20 cm piece of cardboard. Squares of side length x cm will be cut out of each corner, and t
abruzzese [7]

Answer:

hi! im sorry if this is wrong, im gonna try my hardest.

V= 160

L= 240

W=34

sry this is prob wrong just wanted to help ;(

7 0
3 years ago
Beau's recipe fro granola bars calls for 3 1/2 cups of oatmeal. He only has 1/6 scoop. How many scoops of oatmeal will he need t
natulia [17]

\boxed{21} scoops of oatmeal will he need to complete the recipe.

Further explanation:

Given:

Beau's recipe from granola bars calls for 3\dfrac{1}{2} cups of oatmeal.

He only is \dfrac{1}{6} scoop.

Explanation:

The cups of oatmeal called for the recipe is 3\dfrac{1}{2}.

Solve the improper fraction 3\dfrac{1}{2}.

\begin{aligned}{\text{Fraction}}&=\frac{{2 \times 3 + 1}}{2}\\&=\frac{{6 + 1}}{2}\\&=\frac{7}{2}\\\end{aligned}

The Beau has \dfrac{1}{6}{\text{ scoop}}.

The number of scoops required to complete the recipe can be obtained as follows,

\begin{aligned}N&=\frac{{{\text{total cups of oatmeal}}}}{{{\text{the fraction of scoop Beau has}}}}\\&=\frac{{\frac{7}{2}}}{{\frac{1}{6}}}\\&= \frac{7}{2} \times6\\&=\frac{{42}}{2}\\&= 21\\\end{aligned}

Number of scoops required to complete the oatmeal is 21{\text{ scoops}}.

Therefore, \boxed{21} scoops of oatmeal will he need to complete the recipe.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: fraction, Beau’s recipe, granola bars, calls, 3 1/2 cups of oatmeal, scoops, recipe, ratio, 1/6 scoop, complete the recipe.

5 0
3 years ago
Name the angle in 4 ways.
Vaselesa [24]
Angle ABC
ANGLE CBA
ANGLE A
ANGLE B
5 0
3 years ago
If a recipe calls for 3/4 cups of sugar to make 3 batches of cookies, how much sugar will you need to make 5 batches? Find your
statuscvo [17]

Answer:

1 and 1/4 cups of sugar for 5 batches

Step-by-step explanation:

3/4 cups for 3 batches

1/4 cup for 1 batch

multiply by five

5/4 or 1 and 1/4 cups for 5 batches

8 0
3 years ago
The relationship between two numbers is described below, where x represents the first number and y represents the second number.
Daniel [21]

X=y+16

4y-1=7

Solve on both sides

4y=8

Y=8/2

Y=4

X= (4)+16

X=20

5 0
3 years ago
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