0.58 divided into 0.5568

Which function has no horizontal asymptote? F (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction f (x) = StartFraction

yanalaym [24]

Answer:

$f(x)=\frac{2x^2}{3x-1}$

Step-by-step explanation:

The function $f(x)=\frac{2x-1}{3x}$ has a horizontal asymptote which is $y=\frac{2}{3}$

The function $f(x)=\frac{x-1}{3x}$ has a horizontal asymptote which is $y=\frac{1}{3}$

The function $f(x)=\frac{2x^2}{3x-1}$ has no horizontal asymptote because the numerator has a degree which is higher than the degree of the denominator,

The function $f(x)=\frac{3x^2}{x^2-1}$ has a horizontal asymptote which is $y=3$

3 0

2 years ago

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The flagpole casts an 8 foot shadow as shown in the table at the same time the oak tree casts 12-foot shadow how tall is the oak

jolli1 [7]

How tall is the flagpole?

3 0

2 years ago

A small island is 4 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a

True [87]

Answer:

a) t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

b) x = 0,97 miles

c) t (min) = 1,24 hours

Step-by-step explanation: See Annex

Figure in annex shows a clear description of the situation

Let x be distance in miles between point P and where boat lands

A woman has to row a distance L

L = √ (4)² + (x)²

and the part to get to the town (which she has to walk)

d = ( 7 - x)

But we are required to give time as a function of x

distance = speed * time ⇒ t = distance / speed

Therefore

t(x) = [ √ (4)² + (x)²]/ 4 + ( 7 - x ) / 5

t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

Taking derivatives both sides of the equation

t¨(x) = ( 2x)*4 / 16√ (4)² + (x)²] - 5/25

t¨(x) = x/ 2√ (4)² + (x)²] - 1/5

t¨(x) = 0 x/ 2√ (4)² + (x)²] - 1/5 = 0

[ 5 x - 2√ (4)² + (x)²] = 0 ⇒ 5x = 2√ (4)² + (x)²] or

25 x² = 4 ( 4 + x²)

25 x² = 16 + 8x²

17x² = 16

x² = 16/17

x² = 0,941

x = 0,97 miles

And the distance walking to get to town

d = 7 - x d = 7 - 0,97

d = 6,03 miles

The least travel time is t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

t (min) = √ 16 + 0,94) /4 + 1,4 - 0,97/5

t (min) = 1,03 + 1,4 - 0,194

t (min) = 1,24 hours

7 0

2 years ago

A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire

anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So, 16 inches = $\frac{1}{12}$ ×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × $\pi$ × radius

where $\pi$ = 3.14

or, circumference = 2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed = circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0

2 years ago

Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you k

Margarita [4]

Answer:

No

Step-by-step explanation:

Because, the Pythagorean Inequality Theorem states that the two smallest angles should add up to be more than the third angle.

4+6=10

11 is bigger than 10, still.

Therefore, no the triangle is not possible.

3 0

2 years ago

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