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sergey [27]
2 years ago
12

A farm has 8 cows, 28 chickens, 4 pigs, and 12 goats. which ratio is the

Mathematics
1 answer:
QveST [7]2 years ago
3 0

Answer:

C

Step-by-step explanation:

ratio of pigs to chickens = 4/28, which simplifies to 1/12

ratio of goats to chickens = 12/28, which simplifies to 3/7

ratio of cows to goats = 8/12, which simplifies to 2/3

ratio of pigs to cows = 4/8, which simplifies to 1/2

since 2/3 is the largest, the answer is C

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1/5k + 15 factor out the coefficient!
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What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?
posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\

Since\  \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0

5 0
2 years ago
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