1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masja [62]
2 years ago
6

Often scientists use rate of change equations in their study of population growth for one or more species. In this problem we st

udy systems of rate of change equations designed to inform us about the future populations for two species that are either competitive (that is both species are harmed by interaction) or cooperative (that is both species benefit from interaction. Which system of rate of change equations below describes a situation where the two species compete and which system describes cooperative species? Explain your reasoning.
a. dx/dt= -5x + 2xy
b. dx/dt= 4x-2xy
c. dy/dt= -4y + 3xy
d. dy/dt= 2y-xy
Mathematics
1 answer:
Elza [17]2 years ago
6 0

Answer:

a: cooperative.

b: competitive.

c: cooperative.

d: competitive.

Step-by-step explanation:

The rate of change:

dx/dt

gives information about how the quantity x changes as a function of time.

If dx/dt > 0, the population x increases as the time passes.

if dx/dt < 0, the population x decreases as the time passes.

Now, let's analyze the options:

a) dx/dt= -5x + 2xy

in this case, x represents one population and y represents the other population. Where x and y should only be positive numbers because we can not have a negative population.

Notice that in this case, if y increases, then dx/dt increases.

Then we have cooperative species because the population y helps the growth of population x.

b) dx/dt = 4*x - 2*x*y

Similar to the previous case, but now as the value of y increases, the value of dx/dt decreases, then we have competitive species.

c) dy/dy = -4*y + 3*x*y

Notice that now we have the rate of change of y, in the right side, we can see that as x increases, also the rate of change dy/dt.

Then the population x helps to increase the population y, which means that the species are cooperative.

d) dy/dt = 2*y - x*y

Now as x increases, the value of dy/dt decreases, then these species are competitive.

You might be interested in
Use the graph that shows the solution to
Luda [366]

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

f(x) = \dfrac{1 + 2\cdot x}{x}

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

\dfrac{1 + 2\cdot x}{x} = 2 + x

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

6 0
2 years ago
An overtime rate that is two times the hourly rate
Aleks04 [339]

Answer

The answer is you multiply and then you divied it by the problem

7 0
3 years ago
Solve each porportion 10/k =8/4 and tell me how you git your answer
Anettt [7]
It is only 1 proportion, and it is 1 problem.

10 8
---- = ---
X 4

1). It is 8x=40
2). Divide both sides
by 8
3). X=5

7 0
3 years ago
If there are 4 trucks for every 5 cars how many trucks and cars are there?
Rom4ik [11]

Answer:

Step-by-step explanation:

^^there are 20 Trucks in total  And 5 cars

8 0
3 years ago
Read 2 more answers
Order of operations what should be done first to evaluate 6+ (-5-7) ÷ 2 -8(3)
Maru [420]

Answer:-24

Step-by-step explanation:

6+(-5-7) ➗ 2-8(3)

6-12 ➗ 2-24

6-6-24

0-24=-24

3 0
3 years ago
Other questions:
  • Mike is pouring a two foot cement sidewalk around the perimeter of his swimming pool. His swimming pool measures 6 feet by 14 fe
    13·2 answers
  • Please help urgent!
    7·2 answers
  • A Pudding recipe calls for 0.355 liter of milk. Nati has 0.5 liter of milk at home. Does she have enough milk for the pudding re
    11·1 answer
  • 21. what are the excluded values of the function? y= 5/6x-72
    7·1 answer
  • Plz help no guessing
    7·1 answer
  • Give the range of these statistics: 27; 32; 74; and 100.
    15·1 answer
  • What is the reciprocal of (13xz)/(31zy)?
    13·2 answers
  • Rewrite the sentence with correct punctuation and capitalization.
    12·1 answer
  • HELP PLS HELP !!!!!!!
    11·1 answer
  • In ABC, AB = 5 feet and BC = 3 feet.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!