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<span> A rumor spreads among a population of [unknown number] people at a rate proportional to the product of the number of people who have heard the rumor and the number of people who have not heard the rumor.
If [variable] p denotes the number of people who have heard the rumor, the differential equations could be used to model the situation with respect to time (t), where as (k) is a positive constant.
</span>As stated : "a rumor is changing at a rate ".
=
"is proportional "
"product of number of people who heard rumor and who haven't"
<span>Since n is the total population the correct answer is (b). </span>
If [variable] p denotes the number of people who have heard the rumor, the differential equations could be used to model the situation with respect to time (t), where as (k) is a positive constant.
</span>As stated : "a rumor is changing at a rate ".
=
"is proportional "
"product of number of people who heard rumor and who haven't"
<span>Since n is the total population the correct answer is (b). </span>
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Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: .
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.