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Effectus [21]
3 years ago
12

Factor completely 2n^2+3n-9

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0
The answer is
(2n-3)(n+3)

i hope this helps :)
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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
3 years ago
What is the difference-6-(11)
Lana71 [14]

Answer:

-17

Step-by-step explanation:

So you take -6 and subtract another 11, that gives you negative 17.

Hope This Helps! If it doesn’t let me know and I can explain it more in depth.

7 0
3 years ago
Read 2 more answers
My grade is a 77%, if i get a 0% on a paper worth 30% of my grade, what will my grade be now??
blsea [12.9K]
Grade=Paper+Other
Grade=(Grade_{paper}\times Value_{paper})+(Grade_{other}\times Value_{other})
Grade=(0 \times 30\%)+(77\% \times (1-30\%))
Grade=(0 \times 30\%)+(77\% \times 70\%)
Grade=0+53.9\%
Grade=53.9\%
6 0
3 years ago
Which fraction has a value that's equal to 7/8
S_A_V [24]
There's a bunch of them like if you simplify you could get 3/4.I'll give you some more.

Examples:14/16 21/24 28/32 and 35/40.

My brain was getting tired to think...but there's more.

Hope this helps :D
7 0
3 years ago
Find the dicontinuities of the function.
elena-s [515]

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

f(x)=\frac{x^2+12x+27}{x^2+4x+3} because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)} and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

5 0
3 years ago
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