Answer:
c=3
Step-by-step explanation:
4c+12-2c=5c-3 1. combine like terms
2c+12=5c-3 2. -5c on both sides
-3c+12=3 3. -12 on both sides
-3c=-9 4. /-3 on both sides
c=3
Answer: v=-81.92
Step-by-step explanation:

Multiply both parts of the equation by 8:

Answer:
8
Step-by-step explanation:
Answer:
f(x) = 4 - x
Step-by-step explanation:
'f(x) = blah-blah' is the same as saying 'y = blah-blah', except it is also telling you that the x-y relationship is a function.
I notice that for each case, x + y = 4, so y = 4 - x
Or in 'function' terminology, f(x) = 4 - x
Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4