Describe the long-term behavior of f(x)= (3x^3+2x-8)/(x^2+x)a. horizontal asymptote at y=3

b. Slant asymptote with a slope of 3

c. Slant asymptote at y= 3x

d. none of the above

Answers

Answer 1
Answer: check the picture below.

so that's the graph of that rational equation.

clearly it doesn't have an asymptote at y = 3, it does have an slant asymptote, notice the line on the right-side is slanted about some asymptotic border, well, if we do long division on the rational, the quotient is the equation of the slant asymptote.

it just so happen the long division gives us a quotient of 3x - 3, with a remainder of 5x - 8.

so it has a slant asymptote, but is at y = 3x - 3.

so I take is none of the above.

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In the library there are 200 books. 58 of them are non-fiction. What percentage of the books are non-fiction?

Answers

58/200 is 29/100 which is 29%.
29% = Non-Fiction

Which of the following statements is true?A) Two similar triangles must be congruent.
B) Two congruent triangles must be similar.
C) Two triangles having ye same area must be congruent.
D) Two triangles having the same perimeter must be similar.

Answers

Answer:

A or C

Step-by-step explanation:

Which equation represents a line parallel to the x-axis1) x=5
2) y=10
3) x=1/3y
4) y=5x+17

Answers

paralell lines have same slope

paralell to x axis means slope of x axis=slope of line
slopt of x axis=rise/run, rise=0, run=infinity, so slope=0

y=mx+b
m=slope
if m=0,
y=0x+b
y=b

therefor the answer is an equation that is y=constant where there is no x


answer is 2) y=10

Jason has a piece of wire that is 62.4 inches long. He cuts the wire into 3 equal pieces. Which is the best estimate of the length of each piece of wire.

Answers

Answer:

The best estimate of the length of each piece of wire is  20.8 inches (Approx).

Step-by-step explanation:

Let us assume that the length of each pieces of wire be x.

As given

Jason has a piece of wire that is 62.4 inches long.

He cuts the wire into 3 equal pieces.

Than the equation becomes

3x = 62.4

x = (62.4)/(3)

x = 20.8 inches (Approx)

Therefore the best estimate of the length of each piece of wire is  20.8 inches (Approx).

62.4/3=20.8 is one of the 3 wires that are equal

If the nth term of a sequence is
4n + 3 what is the 6th term?​

Answers

Answer:

27 is the answer to the question

Step-by-step explanation:

4(6)+3=24+3=27

Question 3.3. Find the LCD of these fractions.4/x^2y, 20/xy


(Points : 1)

A. xy
b. xy^2
c.x^2y
d. x^2y^2

help please? :)

Answers

did you ever get an answer?