Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
The function 'g(x)' is given as:
Now, the function 'f(x)' is given as:
So, the function 'f(x)' is a transformation of 'g(x)'.
In order to find f(x), we replace 'x' by 
in the 'g(x)' function equation. This gives,
Using the identity 
, we get:
Hence the function f(x) is given as:
Answer:
a(7) = 21
Step-by-step explanation:
Using the recursive formula and a(1) = 0, a(2) = 1 , then
a(3) = a(2) + 2a(1) = 1 + 2(0) = 1 + 0 = 1
a(4) = a(3) + 2a(2) = 1 + 2(1) = 1 + 2 = 3
a(5) = a(4) + 2a(3) = 3 + 2(1) = 3 + 2 = 5
a(6) = a(5) + 2a(4) = 5 + 2(3) = 5 + 6 = 11
a(7) = a(6) + 2a(5) = 11 + 2(5) = 11 + 10 = 21
Answer:
<A=42°
Step-by-step explanation:
If the exterior of angle C is 126, the interior is 54.
The sum of the other two angles must be 126. (Exterior Angle Theorem)
If B is twice A, we divide 126 into thirds. This is 42.
So A is 42, B is 84, and C is 54.
Answer: x - 3y = -2
x = -2 + 3y
x - 3y = 16
x = 16 + 3y
