g(x) is a piecewise function in such a way that it changes how it's defined based on what x happens to be. There are three cases
Case A: g(x) = x-1 but only if 
(x is between -2 and -1; including -2 but excluding -1)
Case B: g(x) = 2x+3 but only when 
(x is between -1 and 3; including -1 but excluding 3)
Case C: g(x) = 6-x but only when 
The input is x = 3 since we want to find the value of g(3). So we look at the 3 cases above (A,B,C) and determine that we use case C. Why? Because x = 3 makes true. Put another way, x = 3 is in the interval [3, infinty). So we'll use g(x) = 6-x to find that...
g(x) = 6-x
g(3) = 6-3
g(3) = 3
Answer: 3
Answer:
$359.42
Step-by-step explanation:
The difference in the investment values can be computed by making use of the formulas for the account balance in each case.
compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually
simple interst: A = P(1 +rt) . . . . simple interest at rate r
__
The account earning simple interest will have a balance of ...
A = $8000(1 +0.12×3) = $10,880
The account earning compound interest will have a balance of ...
A = $8000(1 +0.12)^3 ≈ $11,239.42
The difference between the two investments is ...
$11,239.42 -10,880 = $359.42
Answer:
Length = 10 & width = 3
Step-by-step explanation:
Perimeter = Length + Length + Width + Width
26 = 2Length + 2 Width
26 = 2 ( Length + Width )
13 = Length + width
13 - Length = Width EQUATION 1
Area = Length X Width
30 = Length X ( 13 - Length )
30 = 13Length - Length ^2
Length ^2 - 13Length + 30 = 0
( Length - 3 )( Length - 10 )
Length = 3 or Length = 10
Therefore Length = 10
From equation 1
13 - Length = Width
13 - 10 = width
width = 3
Answer:
=0.4
Step-by-step explanation:
1/3= 0.33
5/6=0.83
Then: 0.33/0.83 = 0.4
You can also do 6/15 which results from (1*6)=6 and (3*5)=15
