Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
Answer:
A) -3 and -10
B) -3x-10x (I’m not sure what they mean by this step. Maybe what I put for the first part of C?)
C) (5x²-3x)+(-10x+6)
(5x-3)(x-2)
Step-by-step explanation:
A) -3 and -10
B) -3x-10x (I’m not sure what they mean by this step. Maybe what I put for the first part of C?)
C) (5x²-3x)+(-10x+6)
(5x-3)(x-2)
Answer:
x = 0, x = -4, and x = 6
Step-by-step explanation:
To find the zeros of this polynomial, we can begin by factoring out a common factor of each term. 'x' is a common factor. We can distribute this variable out, giving us:
f(x) = x(x²- 2x- 24)
Now, factor the polynomial inside of the parenthesis into its simplest form. Factors of -24 that add up to -2 are -4 and 6.
f(x) = x( x + 4) (x - 6)
From this, we can derive the zeros x = 0, x = -4 and x = 6.
Answer:
yes they are congruent because they have the same size and shape
Step-by-step explanation:
Answer:
it's b
Step-by-step explanation:
i got it right on edge
