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2 years ago

Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

Mathematics

1 answer:

pochemuha2 years ago

5 0

Answer:y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation: does this help??

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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

Is my answer correct? // tell me if i'm wrong with details!!

Anna11 [10]

Answer:

Step-by-step explanation:

This is vertical reflection, because reflections are made across vertical lines.

5 0

3 years ago

F(x)= 2x^3- x^2 +x+ 1 is divided by 2x +1.

ololo11 [35]

Answer:

Step-by-step explanation:

x^2

--------------------------------------------------

2x + 1 / 2x^3 - x^2 + x + 1

2x^3 + x^2

-----------------------

0 + x + 1

x + 1

The quotient is x^2 + ------------

2x + 1

8 0

2 years ago

If the original point A (3,5) is rotated 180 degrees what will the image point be

Grace [21]

Answer:

5,3 I think or 5,4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve an equation x/17= -4

Rainbow [258]

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

6 0

2 years ago