Answer:
(y-3) = 2(x-1)
Step-by-step explanation:
Point slope form is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
(y-3) = 2(x-1)
Answer:
9d^2/(2d + 4).
Step-by-step explanation:
18d^2 / (4d + 8)
First factorise the denominator:
= 18d^2 / 4(d + 2)
The GCF of 18 and 4 is 2 so this simplifies to:
9d^2/2(d + 2)
= 9d^2/(2d+ 4).
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.
Answer:
$7.50
Step-by-step explanation:
$42 × 3 = $126
$27 × 5 = $135
$126 + $135 = $261
$275 - $261 = $14
$14 - $6.50 = $7.50