14 | 7 | 21
6 | 3 | 9
20 |10| 30
i hope you understand how im trying to put i
Answer:
3
Step-by-step explanation:
its so easy all you have to do is 12-9=3
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = 
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have

When t = 0, A(0) = 0 (since the forest floor is initially clear)


So, D = R - A =

when t = 0(at initial time), the initial value of D =

Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
- we add 1 each time
- we subtract 3 each time

Let's try the next one:
- we add 1 each time
- we add 5 each time

Let's try the third one:
- x values: -1, 0, 1, 2
- - we add 1 each time
- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
- we add 1 each time
- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!