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3 years ago

What is the constant of proportionality represented in the graph? A) 0 B) 1/4 C) 10 D) 4

Mathematics

2 answers:

NISA [10]3 years ago

8 0

Answer:

Step-by-step explanation:

For every 1 you go over you go up 4

Aloiza [94]3 years ago

6 0

Answer:

D)4

Step-by-step explanation:

rise over run

rise=8 run=2

8/2

=4/1

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1930 to the nearest 1000

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2000, since it’s above 1500

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Translate this sentence into an equation

Yuki888 [10]

I'm pretty sure the answer is d • 3 = 48

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3 years ago

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.

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3 years ago

You buy items totaling $52.25 with a 6% sales tax. You give the clerk three $20.00 bills. Figure the following amounts:

schepotkina [342]

A- 3.13
B- 55.38
C- 4.62

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2 years ago

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An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of

Liula [17]

Answer:

65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

(4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

d² = 12² +7² = 144 +49 = 193

d = √193 ≈ 13.892

Then the total length of all strings is ...

L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

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