Answer:
option c, x = 3
Step-by-step explanation:
Given:
- f(x) =

Since both equal f(x) they must be equivalent as well,

Apply exponent rule, 3 x 3 x 3 = 27
hence x = 3
Step 1
distribute the -3
-3(y-5)=24
-3y+15=24
step 2
subtract 15 from both sides
-3y =9
Step 3
divide -3 on both sides
y=-3
Hope this helps good luck have fun
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Sum & Difference Identity: cos (A + B) = cos A · cos B - sin A · sin B
Recall the following from Unit Circle: cos (π/2) = 0, sin (π/2) = 1
cos (π) = -1, sin (π) = 0
Use the Quotient Identity: 
<u>Proof LHS → RHS:</u>




Quotient: tan x
LHS = RHS 
This can be mathematically expressed to
250 + X = 1075
where X represents the parts you produce before the shift ends
Transpose 250 to the other side by subtracting each side by 250
Thus, it goes like this
X = 1075 - 250
X = 825
You produced 825 parts in the middle of the shift.