Factor. x^2−4x+4 (x+4)^2 (x−4)^2 (x+2)^2 (x−2)^2

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

slamgirl [31]

Answer:

Vertical asymptote:x=-4

Horizontal asymptote: y=2

Step-by-step explanation:

The given rational function is

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

To find the vertical asymptote we equate the denominator to zero and solve for x.

x+4=0

The equation of the vertical asymptote is

x=-4

To find the horizontal asymptote we take limit to infinity. Or simply express the coefficient of x in the numerator over the coefficient of x in the denominator since this is a proper rational function.

The horizontal asymptote has equation

$y=\frac{2}{1} =2$

7 0

4 years ago

A linear function contains the following points.

nydimaria [60]

Find the slope first using m=y2-y1/x2-x1
-4-4/0-4 =2

The y intercept is when x=0.
One of the given points is (0,-4)
The y intercept is y=-4

4 0

3 years ago

What is 879 times 8 as a sum and estimated

Flauer [41]

Its 7,032 the estimated product is 7,000

-hope that helped

6 0

4 years ago

During the national day celebrations.Asha decorates her balcony with serial lights of red,green and white colours.The red light

expeople1 [14]

If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

Solution:

Given that the red light blinks at intervals of 4 seconds, the green at 5 seconds and the white at 6 seconds.

If all three colored lights blink together at 8:49 pm,

We have to find when will they blink together again?

First let us know, at what intervals they all together blink.

For that we have to find the lcm of 4, 5, 6.

L.C.M (4, 5, 6) = 2 x L.C.M(2, 5, 3)

As 2,3,5 are primes, we can’t take common further, so multiply all

= 2 x 2 x 5 x 3

= 4 x 15 = 60

So, after every 60 seconds = 1 minute they will blink.

Then, after 8 : 49 pm, they will blink at 8 : 49 + 1 = 8 : 50 pm.

Hence, they all blink at 8 : 50 pm.

6 0

3 years ago

The product of three-fourths and a number is 18. What is the number?

GuDViN [60]

Answer:

13 and one and half

Step-by-step explanation:

product means times/x

3/4 x 18 =13 1/2

8 0

3 years ago