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3 years ago

Determine the horizontal asymptote for r(x) = x^3-2x^2+3 / x-2, if one exists.

Mathematics

2 answers:

Sauron [17]3 years ago

8 0

There is no horizontal asymptote.

Leno4ka [110]3 years ago

4 0

Answer:

Step-by-step explanation:

A horizontal asymptote exists for this function at y = 0.

Compare the degrees of the numerator and denominator

If N < D, then y = 0 is the horizontal asymptote.

If N = D, then y =

(a = leading coefficient numerator and b = leading coefficient denominator).

If N > D, then there is no horizontal asymptote.

If N > D by only one, then there is a slant asymptote.

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a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas

My name is Ann [436]

Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = $\frac{y}{20}$ ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = $\frac{x}{20}$ ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

$z^{2}$ = $y^{2}$ + $(40+x)^{2}$

= $14.14^{2}$ + $(40+14.14)^{2}$

= 3131.08

$z^{2}$ = $\sqrt{3131.08}$

z = 55.96 miles

6 0

3 years ago

Which system of linear inequalities is graphed?

iragen [17]

I am sure that This one would be c

6 0

3 years ago

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A gasoline service station offers 20 cents off the regular price per gallon every tuesday. what equation relates the discounted

Leni [432]

R - 0.20 < r would be your answer

3 0

3 years ago

For 32 = 5X + 2, what is the first step in solving for X?

nikitadnepr [17]

Answer:

-2 from both sides

Step-by-step explanation:

32=5x+2

-2 -2

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2 years ago

(1 point) A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate o

PtichkaEL [24]

Answer:

8pi feet per second

Or, 25.1 feet per second (3 sf)

Step-by-step explanation:

C = 2pi×r

dC/dr = 2pi

dC/dt = dC/dr × dr/dt

= 2pi × 4 = 8pi feet per second

dC/dt = 25.1327412287

8 0

3 years ago