a) (f+g)(x) = f(x) + g(x) = -4x + 5x = x
b) -9(x) = -9x? I have no idea what this means.
c) (f o g)(x) = (f(g(x)) = f(5x) = -4 (5x) = -20x
Answer:
C(t) = I/F [1 - e^(-Ft/V) ] + C₀e^(-Ft/V)
as t = 0 ; C(t) = 1/F
Explanation:
dC/dt) = (-F/V)*C+(I/V)
To make it easier to solve, let
Constants: I, V,F
Variables: C, t
workings and solution can be viewed below
All 3 of her children will receive 133,333.3333
Answer:
x = 8, A = 182 units²
Step-by-step explanation:
The perimeter P of a rectangle is calculated as
P = 2l + 2b ( l is the length and b the breadth )
Given P = 66, then
2(7) + 2(3x + 2) = 66 ← distribute and simplify left side
14 + 6x + 4 = 66
6x + 18 = 66 ( subtract 18 from both sides )
6x = 48 ( divide both sides by 6 )
x = 8
Then
3x + 2 = 3(8) + 2 = 24 + 2 = 26, so
A = 7 × 26 = 182 units²
Answer:
Step-by-step explanation:
Jackie's annual net income is $38,640. This is the income after all other annual expenses has been deducted. This means that his annual expenses of $260 has been deducted already. There are 12 months in a year. This means that her monthly income would be 38640/12 = $3220
Each month, Jackie budgets $1640 for fixed expenses, $1320 for living expenses. Her total expenses for each month will be 1320 + 1640 = 2960. The statement best describes her monthly budget will be her monthly income - her monthly expenses. It becomes 3220 - 2960 = $260
Therefore, It shows a surplus of $260.
