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Leviafan [203]
3 years ago
13

THIS IS THE FOURTH TIME I HAVE POSTED THIS QUESTION. I HAVE BEEN STUCK ON THIS SAME QUESTION FOR AN HOUR

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0
So the culture banner size has length x, width x (since it is square)
The sports banner has length x+12, width x.

The area of the sports banner is length x width = x(x+12) = x²+12x.

Now, lets look at the tiles.

- The monomial, x, a factor of the expression is the width of the sports banner.

- The binomial (x+12) is the length of the spots banner (this is given!)

- The second degree term of the expression x²+12 is x², the area of the culture banner

- The first degree term of the expression x²+12x is 12x, it represents the increase in area, since the area went from x² to x²+12x

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Answer:

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Step-by-step explanation:

Given function:

f(x)=\dfrac{4x-7}{8x+8}

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at  y=\dfrac{a}{b}  (where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator).  This is the end behavior.

\textsf{Horizontal asymptote}:y=\dfrac{4}{8}=\dfrac{1}{2}

This is because as x \rightarrow \infty the -7 of the numerator and the +8 of the denominator become negligible.  Therefore, we are left with:

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\textsf{As }\:x \rightarrow - \infty, f(x) \rightarrow 0.5

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