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3 years ago

Which of the following is true?(1 point)

Mathematics

1 answer:

MArishka [77]3 years ago

8 0

Pretty sure it’s common to find fossils of soft tissues from dead organisms!

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When graphed, which function has a horizontal asymptote at 4?

galben [10]

Answer:

Correct answer: C. f(x) = 2(3)x + 4

(please note we changed the expression of the function to exponential form which we believe is the correct form of the question)

Step-by-step explanation:

Horizontal Asymptote

The graph of a function is said to have a horizontal asymptote at y=a if one or both the following limits exist

$\lim\limits_{x \rightarrow \infty}f(x)=a$

$\lim\limits_{x \rightarrow -\infty}f(x)=a$

The horizontal asymptotes are horizontal lines to which the function tends when x increases or decreases without limits.

Let's analyze each one of the options provided:

A. f(x) = 2x -4

$\lim\limits_{x \rightarrow \infty}(2x-4)=+\infty$

$\lim\limits_{x \rightarrow -\infty}(2x-4)=-\infty$

No horizontal asymptote

B. f(x) = -3x + 4

$\lim\limits_{x \rightarrow \infty}(-3x+4)=-\infty$

$\lim\limits_{x \rightarrow -\infty}(-3x+4)=\infty$

No horizontal asymptote

C. f(x) = 2\cdot 3^x + 4

$\lim\limits_{x \rightarrow \infty}(2\cdot 3^x + 4)=2\cdot 3^\infty + 4=\infty$

$\lim\limits_{x \rightarrow \infty}(2\cdot 3^x + 4)=2\cdot 3^{-\infty} + 4=0+4=4$

This function has a horizontal asymptote at y=4

D. 3\cdot 2^x -4

$\lim\limits_{x \rightarrow \infty}(3\cdot 2^x - 4)=3\cdot 2^\infty - 4=\infty$

$\lim\limits_{x \rightarrow \infty}(3\cdot 2^x- 4)=3\cdot 2^{-\infty} - 4=0-4=-4$

This function has a horizontal asymptote at y=-4

Correct answer: C.

8 0

3 years ago

Joseph is weaving a ceremonial Native American sash. The sash will be 8 feet long when it is completed. Joseph wants to add a di

Elan Coil [88]

Answer:

20 diamonds

Step-by-step explanation:

It is given that,

Length of the sash when it is completed = 8 feet

Joseph wants to add a diamond shape every 0.4 feet along the sash.

We need to find no of diamonds the sash have when it is completed. It can be calculated by dividing total length by 0.4 feet. As a result,

n = 8/0.4

n = 20

Hence, 20 diamonds the sash will have when it is completed

7 0

3 years ago

If a block of wood measuring 5 cm x 10 cm x 3 cm has a mass of 100 g, could it be birch wood?

Inga [223]

Answer:

It very well could be

Step-by-step explanation:

It could be any type of wood, it doesn't matter weight, volume, or size

5 0

3 years ago

What’s the volume of the sphere

vodka [1.7K]

Answer:

$\pi$ ( $r^{2}$ h)

Step-by-step explanation:

r = radius

h = height

3 0

2 years ago

2.072539 rounded to the nearest hundredth

zalisa [80]

Answer:

2.07

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers