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Allushta [10]
3 years ago
9

. What is the equation for the asymptote of the function f(x)=2^x?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0
The functin f(x) = 2^x is an exponential function.

It does not have vertical asymptotes because the function is defined for all the real  values.

To find the horizontal asymptotes calculate the limits when the function grows positively and negatively.

The limif of 2^x when x goes to + infinity is infinity so there is not asymptote to this side.

The limit of 2^x when x goes to - infinity is 0, so y = 0 is an asymptote.

Answer: the equation for the asymptote is y = 0.
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Step-by-step explanation:

square root congruency theorem

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3 years ago
Solve using a system of two equations in two unknowns.
vladimir1956 [14]

Hello!

To solve this, first write two equations. We are given two facts about the situation, so we can write the equations accordingly.

Say the length of the rectangle is l, and the width is w.

<u>The length of a rectangle is 9 inches more than twice its width:</u> 2w + 9 = l, as you're adding 9 to two times the width.

<u>The perimeter of the rectangle is 48 inches:</u> The equation for perimeter is 2l + 2w, so we can just use that in this case to make the equation - 2l + 2w = 48

Now, set up the system of equations.

\left \{ {{2w + 9 = l} \atop {2l + 2w = 48}} \right.

Now, we can already use substitution to solve. We get from one of the equations that l = 2w + 9, so we can substitute 2w + 9 for l in the other equation, and then solve for w.

2l + 2w = 48

2 (2w + 9) + 2w = 48

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w = 5

We know one of our variables now. Now, all that's left to do is substitute 5 for w in one of the original equations to solve for l.

2w + 9 = l

2 (5) + 9 = l

10 + 9 = l

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4 0
3 years ago
Which of the following statements are true? Please help
Serhud [2]

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B and C

Step-by-step explanation:

- The answer in the attached file

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ludmilkaskok [199]

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Kelly can type 120 words in 3 minutes. at that ate, how many words can she type in 5 minutes?
madam [21]
\frac{120\ \text{words}}{3\ \text{minutes}} = \frac{40\ \text{words}}{1\ \text{minute}}

\frac{40\ \text{words}}{1\ \text{minute}} \times \frac{5}{5} = \frac{200\ \text{words}}{5\ \text{minutes}}

Kelly can type 200 words in five minutes.
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3 years ago
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