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Nuetrik [128]
3 years ago
5

What is this I need help

Mathematics
2 answers:
lora16 [44]3 years ago
6 0

Answer:

2y-7(y+8)=1-5y ///// y=B

Step-by-step explanation:

the sides are unequal, therefore, y cannot be found

Setler79 [48]3 years ago
4 0

Answer:

B. No solution

Step-by-step explanation:

2y-7\left(y+8\right)=1-5y\\\\\mathrm{Expand}\:-7\left(y+8\right):\quad -7y-56\\2y-7y-56=1-5y\\\\\mathrm{Add\:similar\:elements:}\:2y-7y=-5y\\-5y-56=1-5y\\\\\mathrm{Add\:}56\mathrm{\:to\:both\:sides}\\-5y-56+56=1-5y+56\\\\Simplify\\-5y=-5y+57\\\\\mathrm{Add\:}5y\mathrm{\:to\:both\:sides}\\-5y+5y=-5y+57+5y\\\\Simplify\\0=57

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When graphed, which function has a horizontal asymptote at 4?
galben [10]

Answer:

<em>Correct answer: C. f(x) = 2(3)x + 4</em>

<u><em>(please note we changed the expression of the function to exponential form which we believe is the correct form of the question)</em></u>

Step-by-step explanation:

<u>Horizontal Asymptote</u>

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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