Answer:
y=5x
Step-by-step explanation:
The table is given as:
x | y
2 | 10
4 | 20
6 | 30
8 | 40
A proportional relation satisfy the relation: 
We can substitute any x value with the corresponding y-value and solve for k.
When x=2,y=10
This implies that:

Divide both sides by 2 to get:

Hence the equation is 
Answer:
P(x) =
+ 304x - 8510
x = 37 smallest B.E.P
Step-by-step explanation:
P = R - E
P =
+ 317 x
E = 13x + 8510
P =
+ 317 x - 13x - 8510
P(x) =
+ 304x - 8510
B.E.P.(X) where R=E
+ 304 x - 8510 = 0
2(x-37)(x-115)
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the following Half-Angle Identities: tan (A/2) = (sinA)/(1 + cosA)
cot (A/2) = (sinA)/(1 - cosA)
Use the Pythagorean Identity: cos²A + sin²B = 1
Use Unit Circle to evaluate: cos 45° = sin 45° = 
<u>Proof LHS → RHS</u>
Given: 
Rewrite Fraction: 
Half-Angle Identity: 
Substitute: 
Simplify: 




= 2
LHS = RHS: 2 = 2 