MATHEMATICS HIGH SCHOOL

Find all horizontal asymptotes of the following function. f(x)=(x+4)(x²+13x+36)

Answers

Answer 1
Answer:

Answer:

To find the horizontal asymptote of the function,

we need to find the intersection points of the function with the

y-axis.

These points are the solutions of the equation

f(x) = 0.

We decompose the function in the form of the product of two expressions:

f(x) = (x + 4)(x² + 13x + 36)

Now we can set each of the expressions inside the parentheses equal to zero and solve the horizontal equations:

x + 4 = 0 or x² + 13x + 36 = 0

To solve the first equation

, we can factor out

x: x = -4

To solve the second equation, we can use the analysis method or the quadratic formula.

Using the analysis method, we can decompose the expression

x² + 13x + 36 in the following form:

(x + 4)(x + 9) = 0 So the two horizontal equations are equal to

x + 4 = 0 (that is, x = - 4) and x + 9 = 0 (that is, x = -9).

So the horizontal asymptote of the function

f(x) = (x + 4)(x² + 13x + 36) is equal to

x = -4 and x = -9.
Answer 2
Answer:

Final answer:

The horizontal asymptote of the function f(x) = (x+4)(x²+13x+36) is y = x³.

Explanation:

The function given is f(x) = (x+4)(x²+13x+36). To find the horizontal asymptotes, we need to determine the behavior of the function as x approaches positive and negative infinity.

As x approaches positive or negative infinity, the function behaves like the highest power term in the expression. In this case, the highest power term is x³, so the horizontal asymptote is y = x³.

Therefore, the horizontal asymptote of the function is y = x³.

Learn more about Horizontal asymptotes here:

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Green - 8
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Answers

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As per the question statement, we are supposed to find the probability of getting a pink bead out of the storage box containing a sum total of 175 beads.

It is given that there are 25 pink beads in the storage box.

Probability = Favorable outcome / Total value

Probability = 25/175

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  • Probability: The chances of happening or not happening of any event.

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If the theoretical probability of a event occurring is 5/7 what is the theoretical probability of the event not occurring

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James needs 50 tons of dirt for a large construction project. He already has 3 tons of dirt at the construction site. Each dump truck can transport 8 tons of dirt. How many trips does the dump truck need to take to reach 50 tons of dirt?A.
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Answers

If he already has 3 tons of dirt at the site, He needs 50-3=47 tons to be carried by the truck
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Answers

Answer:

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Step-by-step explanation:

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