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Rzqust [24]
3 years ago
13

Determine the equations of the vertical and horizontal asymptotes, if any, for f(x)=2x/x+4

Mathematics
1 answer:
lesya [120]3 years ago
5 0

ANSWER

Vertical asymptote: x=-4

Horizontal asymptote: y=2

EXPLANATION

The given equation is

f(x) =  \frac{2x}{x + 4}

The vertical asymptote is determined by equating the denominator to zero and solve for x.

x + 4 = 0

The equation of the vertical asymptote is

x =  - 4

The numerator has the same degree as the denominator.

The equation of the horizontal asymptote is the coefficient of the leading term in the numerator expressed over the coefficient of the leading term in the denominator.

y =  \frac{2}{1}

y=2

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The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.
podryga [215]

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

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3 years ago
Bismuth-214 has a half-life (50%) of approximately 20 minutes. Find the amount of Bismuth-214 left
ivolga24 [154]
La verdad no se la respuesta perdón
8 0
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PLEASE HELP !!! The height of a rectangle is twice the width and the area is 32. Find the dimensions.
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Answer:

The rectangle has a width of 4 and a height of 8

Step-by-step explanation:

Let the height of the rectangle be H and the width be W.

We know the height of the rectangle is twice the width, so:

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The area of a rectangle, A, is given by A = W * H, so in this case:

32 = W * 2W

32 = 2W²

W² = 16

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Knowing that the width is 4, the height must be 8. This gives us an area of 32.

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Answer:

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Moving 1 space to the left = Times 10

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