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zhannawk [14.2K]
2 years ago
8

Which of the following rational functions is graphed below A.f(x)=1/x-4 B. F(x)=1/4x

Mathematics
1 answer:
dsp732 years ago
8 0

Considering it's vertical asymptote, the rational function graphed below is given by:

A. F(x) = \frac{1}{x - 4}.

<h3>What are the vertical asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

In this graph, there is a vertical asymptote at x = 4, that is, x - 4 is a term of the denominator, hence the function is given by:

A. F(x) = \frac{1}{x - 4}.

More can be learned about vertical asymptotes at brainly.com/question/16948935

#SPJ1

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You made 1⁄2 quart of lemonade. How many 1⁄4 quart-sized glasses will you be able to fill with lemonade
KatRina [158]

Answer:

Hey! I believe this is your answer:

4 glasses

Hope this helped!

Step-by-step explanation:

4 0
2 years ago
Which of the statements are true about the function f given by f(x) = 100-e? Select all that apply.
tatiyna

From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

<h3>What is the explanation for the above function?</h3>

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * e^{-x}

Assuming x = -2, we'd have:

100 * 2.7182^{-2}

= 271.82^{-2}

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

Learn more about functions at:

brainly.com/question/25638609

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6 0
2 years ago
Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample
hichkok12 [17]

Answer:

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is  given by

$ MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } ) $

Where n is the sample size, s is the sample standard deviation and z_{\alpha/2} is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Therefore, the margin of error is 0.776.

3 0
3 years ago
A pumpkin is thrown out of a window that is 4 feet high with an upward velocity of 14. When will the pumpkin hit
Gnom [1K]

Answer:

Step-by-step explanation:

Given

Height H = 4 feet

Velocity = 14ft/s

Required

Time the pumpkin will hit the ground

Using the equation of mottion

H = ut + 1/2gt²

4 = 14t + 1/2(9.8)t²

4 = 14t + 4.9t²

4.9t²+14t-4 = 0

t = -14±√196+16(4.9)/2(4.9)

t = -14±√196+78.4/2(4.9)

t = -14±16.57/9.8

t = -14+16.57/9.8

t = 2.57/9.8

t = 0.2seconds

7 0
3 years ago
Liam is deciding which of two gyms to join. Each gym charges a monthly rate plus one-time membership fee. Liam correctly wrote a
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Liam can conclude that the cost of the memberships for both gyms are equal.
8 0
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