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vampirchik [111]

2 years ago

14

Find the solution to the system of equations graphed here.

2 answers:

svp [43]2 years ago

4 0

This can be solved by finding their point of intersection on the graph, which is at point (1,3).

polet [3.4K]2 years ago

3 0

There is no picture, but you would substitute the first number for the x and the second for the y

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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

2 years ago

Last year ,Chelsea made 32 one cup servings of soup for a school party. This year she will make two times the amount of soup tha

Snezhnost [94]

If Chelsea made twice the amount of soup then she made 64. When converted into cups to gallons it will be 4 gallons.

7 0

2 years ago

6x squared plus 2x minus 20 equals 0

andre [41]

Answer:

x=2 or 5/3

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

3 0

2 years ago

Read 2 more answers

Find the percent of increase from 80 to 90 and choose the appropriate result.

Feliz [49]

Answer:

12.5%

Step-by-step explanation:

% increase = (new value - initial value)/initial value x 100

= (90-80)/80 x 100

=10/80 x 100

= 12.5%

3 0

2 years ago

I need a lot of help with this problem lol. I need help finding the mean, median, mode, and range for the numbers .06, 1.10, .75

son4ous [18]

Answer:

mean = 0.76

median = 0.75

range = 1.79

Step-by-step explanation:

mean = sum/no of items

for media they need to be sorted: 0.05,0.06,0.75,1.10,1.84

median is the middle item, so 0.75

range = largest item - smallest item = 1.84 - 0.05 = 1.79

3 0

2 years ago