Answer:
x < -22
-22
Step-by-step explanation:
Let the number be x, to make an inequality.
3x + 4 < -62
Subtract 4 on both sides.
3x < -66
Divide both sides by 3.
x < -22
So the number is -22.
Answer:
(dP/dt) = 0.00078P (2000 - P)
Step-by-step explanation:
A logistic differential equation is given as
(dy/dx) = ay(b - y)
where a and b are constants.
So, for this question,
(dP/dt) = aP(b - P)
b is the total possible value that P can attain and for this question, b = 2000 (the total number of people at the party)
Taking the time at 9pm to be t = 0,
At t = 0,
P(0) = 400 and (dP/dt) = 500 at t = 0
Inserting these into the differential equation
(dP/dt) = aP(b - P)
500 = 400a(2000 - 400)
400a = (500/1600)
400a = 0.3125
a = (0.3125/400)
a = 0.00078125
(dP/dt) = aP(b - P)
Inserting the constants
(dP/dt) = 0.00078125P (2000 - P)
Hope this Helps!!!
Answer:
9
Step-by-step explanation:
3x-16=2x-7. Add 16 to both sides to get 3x=2x+9. Then subtract 2x on both sides to get x=9
28.87 and .122
Hope this helps
Answer:
f(x)⁻¹ = -5/3x - 5
Step-by-step explanation:
y = -3/5x - 3
x = -3/5y - 3
x + 3 = -3/5y
(x + 3)(-5/3) = y
-5/3x - 5 = y