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3 years ago

According to the graph of the rational function y-

Mathematics

1 answer:

klasskru [66]3 years ago

6 0

Answer:

I think the answer would be I and II.

Step-by-step explanation:

I can't remember what makes an even or odd function. But we know 2 is true because there's no negative, so it can't be decreasing. And I think 3 is false because the bottom becomes (x+1)(x-1), but nothing cancels, so those have to be horizontal asymptotes. So, I think it's I and II.

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What is the slope of the line that passes through the given points? (1 point)

frez [133]

(1/2,3)(2,3/4)
slope = (3/4 - 3) / (2 - 1/2) = (3/4 - 12/4) / (4/2 - 1/2) =
(-9/4) / (3/2) = -9/4 * 2/3 = -18/12 = -3/2

4 0

3 years ago

Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: $P(t)=P_i(1+r)^t$

where $P(t)$ is the population at time "t",

$P_i$ is the initial (starting) population

$(1+r)$ is the common ratio,

and $r$ is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:

$P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\$

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

$1+r=1.155273\\r=1.155273-1=0.155273$

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0

3 years ago

HELPPPPP!!!!!!!!!!!!!!!!!!!

8090 [49]

A trinomial is a polynomial with three terms. It can be determined if it is a difference of two squares when you factor it.

The resulting factor of a trinomial that is a difference of two squares is: a²<span> – b</span>²<span> = (a + b)(a – b) or (a – b)(a + b)</span>

You will notice that the middle term is missing. This means that the middle term zeroes out as a result of having the same number of different signs (+ and -)

5 0

3 years ago

Write an equation in slope-intercept form for the line that passes through (1,9) and (3,5).

kozerog [31]

Answer:

The answer to your question is y = -2x + 11

Step-by-step explanation:

A (1, 9)

B (3, 5)

- Find the slope

$m = \frac{y2 - y1}{x2 - x1}$