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Marianna [84]
3 years ago
11

4X-y=6 3X+2y=21 Commomn core

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0
Assuming you need to find the solution, it's x=3 and y=6
I used elimination

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Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t
WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.  

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}

Seperate the differential equation and solve for the constant C.

\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2}  }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}

You have 100 rodents when:

100=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{100} \\\\2t=98\\\\t=49\ months

You have 1000 rodents when:

1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months

7 0
2 years ago
Y-4 = -2(-3+3) <br> What is y?
Helga [31]

Answer:

y=4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can someone please answer this
Roman55 [17]

Answer:

your answer is 3 this is a simple equation type this into to brainly next time it will give you the answer

3 0
2 years ago
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FIRST GETS BRAINIEST Write a story problem in which you would have to multiply 5 × (-1/3)
AveGali [126]

Answer:

5 students from Westville Elementary school re on a field trip. They come to a hot dog stand and no one has money. One student's parents has a tab at the hot dog stand. So the student, along with the four others, decide to order food and put it on the tab. Each hot dog is 1/3 of a dollar. They would like to know how much they are in debt.

5 times the negative (-1/3) for each hot dog.

-1 and 2/3 dollars

Glad I was able to help!!

4 0
3 years ago
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PLEASE HELP ME!!!!!
Irina18 [472]

Answer:

f(6) = 1

Step-by-step explanation:

Function:

f(x) = -2/3x + 5

f(6) = -2/3(6) + 5

f(6) = -4 + 5

f(6) = 1

4 0
3 years ago
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