Find the midpoint of line PQ.

Can anyone tell me how you could describe this answer to the equation?

DanielleElmas [232]

The end behavior of the given polynomial is that as x → -∞ or x → ∞, then, f(x) → 5

<h3>What is the end behavior of the Polynomial?</h3>

We are given the polynomial;

f(x) = 5x/(x - 25)

Now, we want to find the limits as x → ±∞. Let us rearrange the given polynomial to get; f(x) = 5/(1 - (25/x))

Thus, applying limits we have;'

lim x → ±∞ [5/(1 - (25/x))]

From algebraic limit laws we know that;

If f(x) = k, then;

lim x → +∞ [f(x)] = k

Also, lim x → -∞ [f(x)] = k

Thus, applying limits at infinity to our polynomial gives;

lim x → ±∞ [5/(1 - (25/x))] = 5/(1 - 0) = 5

This is because lim x → ∞ for 1/x is 0.

Thus, f(x) has horizontal asymptotes at y = 5

Thus, we conclude that the end behavior is that as x → -∞ or x → ∞, then, f(x) → 5

Read more about Polynomial End behavior at; brainly.com/question/20347699

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8 0

1 year ago

Please help i don’t understand this

avanturin [10]

Answer:

Step-by-step explanation:

The solution is in the attached file

3 0

2 years ago

Use the side-splitter theorem to solve for x in the triangle below.

fiasKO [112]

Answer:

$x = 7$

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

$\frac{x}{21} = \frac{8}{24}$

Solve for x

$\frac{x}{21} = \frac{1}{3}$

Multiply both sides by 21

$\frac{x}{21}*21 = \frac{1}{3}*21$

$x = \frac{21}{3}$

$x = 7$

8 0

3 years ago

Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for th

boyakko [2]

12x is the correct answer

3 0

3 years ago

Read 2 more answers

The San Andreas fault separates the pacific plates from the North America plate. The pacific plate moved northward relative to t

lesantik [10]

Answer:

The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years

Step-by-step explanation:

The given parameters are;

The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year

The distance between current LA and San Francisco = 470 km

From the formula for speed, s, we have

Speed = Distance/Time

Therefore, Time, t = Distance/Speed

The time, t it will take LA and San Francisco to be next to each other is given as follows;

t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)

t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years

Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.

6 0

3 years ago