Group up the like terms and combine them
2x^2 and -7x^2 add up to -5x^2
6x and 2x add up to 8x
1 and -3 add up to -2
We end up with -5x^2 + 8x - 2
<h3>Answer: Choice B</h3>
Answer:
43.3 cupcakes
Step-by-step explanation:
If shamans has 3&1/3 cups of flour to make cupcakes. If she needs 1/13 cup of flour to make one cupcake how many full cupcakes can she make
From the above question
1/ 13 cup = 1 cup cake
3 1/3 cups = x
Cross Multiply
1 /13 × X = 3 1/3 × 1
x = 10/3 ÷ 1 /13
x = 10/3 × 13/1
x = 130/3
x = 43.333333333 cupcakes
Answer:
D
Step-by-step explanation:
median because it indicates the expected range of gas prices
Answer:
a) dx/dt = kx*(M - h/k - x)
Step-by-step explanation:
Given:
- The harvest differential Equation is:
dx/dt = kx*(M-x)
Suppose that we modify our harvesting. That is we will only harvest an amount proportional to current population.In other words we harvest hx per unit of time for some h > 0
Find:
a) Construct the differential equation.
b) Show that if kM > h, then the equation is still logistic.
c) What happens when kM < h?
Solution:
- The logistic equation with harvesting that is proportional to population is:
dx/dt = kx*(M-x) hx
It can be simplified to:
dx/dt = kx*(M - h/k - x)
- If kM > h, then we can introduce M_n=M -h/k >0, so that:
dx/dt = kx*(M_n - x)
Hence, This equation is logistic because M_n >0
- If kM < h, then M_n <0. There are two critical points x= 0 and x = M_n < 0. Since, kx*(M_n - x) < 0 for all x<0 then the population will tend to zero for all initial conditions
