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vampirchik [111]
3 years ago
5

The function p(x) is an odd degree polynomial with a negative leading coefficient. If q(x) = x3 + 5x2 - 9x - 45, which statement

is true? A. As x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity. B. As x approaches negative infinity, p(x) and q(x) approach positive infinity. C. As x approaches negative infinity, p(x) and q(x) approach negative infinity. D. As x approaches negative infinity, p(x) approaches negative infinity and q(x) approaches positive infinity.
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Answer:

As x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity.

Step-by-step explanation:

The order of the polynomial and the sign of the leading coefficient will let us find the correct answer easily,

If you get a negative number (such as negative infinity) and you take it to an odd power, (for example 3), you will still get a negative number.

As q(x) has a positive leading coefficient, this means that as x approaches negative infinity, q(x)  will approach too negative infinity.

Since p(x) has an odd degree, but negative leading coefficient,

(-)*(-) = +

And this means that p(x) approaches positive infinity

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Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .

<h3>What year will 67% of babies be born to unmarried parents?</h3><h3 />

In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.

If the trend continues, the number of years till 67% of children born out of wedlock will be:

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= 65 years

The year will be:

= 1990 + 65

= 2055

The first part of the question is:

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.

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3 years ago
50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there are currently 2400 black rhinos in the world t
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Answer:

C

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So, we started out with 2,400 black rhinos.

And we know that they are declining at a rate of 10% per year.

In other words, each subsequent year will only have <em>90%</em> of the previous year's rhinos.

Therefore, our function is:

f(x)=2400(.9)^x

We can do some elimination first.

First, the starting point or y-intercept <em>must </em>be 2400 since that's the number of rhinos we started out with.

Therefore, we can eliminate A and D.

From the remaining choices B or C, we can technically also eliminate B. This is because from our function, we know it's exponential decay, and exponential decay is <em>not</em> a straight line.

However, to double check, let's check the population after 10 years using our function. So:

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Use a calculator:

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So, after 10 years, the population should be around 840.

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Answer:

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