The values of (x, y) are (-5, 1), if the equations and are solved by elimination method.
Step-by-step explanation:
The given is,
................................(1)
.....................................(2)
Step:1
Equation (2) is multiplied by -1 ( Eqn (2) × -1 )
..................................(3)
Step:2
Substrate the equation (1) and equation (3),
( - )
After the Subtraction equation becomes,
Step:3
By using y value find value of x,
Step:4
Check for solution,
Both sides are equal so answer is corrected
Result:
The values of (x, y) are (-5, 1), if the equations and are solved by elimination method.
Answer:
Step-by-step explanation:
Its D
Answer: Hello there!
We know that the culture has 2000 bacteria initially (at t = 0 min), and it doubles when t = 40min, again at t = 80 min, and so on
And the rate of grouth is proportional to the population, then we can obtain an expression of the form:
P(t) = 2000*k(t) where k(t) is the factor that defines the growth of the population:
we know that:
p(0) = 2000*k(0) = 2000
p(40) = 2000*k(40) = 2000*2 = 4000
p(80) = 2000*k(80) = 2000*2*2 = 8000
etc
then we can see that k(t) = 2^(t/40)
where k(0) = 1, k(40) = 2, k(80) = 2*2, etc
then the function that models the population of the culture is:
p(t) = 2000*2^(t/40)
where t is in minutes.