The correct answer is 10.
In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).
g(x) = (3x - 1)/2
g(7) = (3(7) - 1)/ 2
g(7) = (21 - 1)/2
g(7) = 20/2
g(f(3)) = 10
Answer:
Step-by-step explanation:
Values less than 5 on a die are 1, 2, 3, 4 ← 4 values out of a possible 6
P( < 5) = 
= in simplest form
Answer:
900°
Step-by-step explanation:
interior angles of a polygon = (n−2)×180°, where n is number of sides
for heptagon it is: (7-2)×180°= 900°
Answer:
The final balance is $1,193.46.
The total compound interest is $393.46.
Step-by-step explanation:
The final balance is $1,820.62.
The total compound interest is $520.62.
The compound interest on initial balance is $393.46.
The compound interest on additional deposits is $127.16.
The final balance of initial money is $1,193.46.
The final balance of additional deposit is $627.16.
The sum of the additional deposits is $500.
The total principal (initial balance plus total additional deposits) is $1,300.
Balances
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Answer:
Multiply each equation by the coefficient of y in the other one.
Step-by-step explanation:
(1) 6x + 5y = 2
(2) 4x + 2y = 8
Multiply each equation by the coefficient of y in the other one.
Multiply (1) by 2 and (2) by 5.
(3) 12x + 10y = 4
(4) 20 x + 10y = 40 Subtract (3) from (2)
8x = 36 Solve for x
x = 9/2
