Answer: 5x+12=3x+18
Step-by-step explanation: let x = hours worked
Penny earns $5/hour + $12 fee so 5x+12
Charlene earns $3/hour + $18 fee so 3x+18
They are going to earn the same thing so 5x+12=3x+18
Because "circular-type" functions can be more easily described by the periodic functions

and

, which are deeply involved in the behavior of "circular-type" functions. Also, using a polar coordinate plane allows you to draw graphs of equations that typically aren't functions.
For example, the unit circle requires two equations to be graphed to fully represent the circle in the rectangular coordinate plane.

On the other hand, in polar coordinates, substituting

and

reduces this to a constant function,

(since by definition,

)
Red: (5 x 1,350)/9 = 750
Blue: (3 x 1,350)/9 = 450
White: (1 x 1,350)/9 = 150
Answer:
Step-by-step explanation:
Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.
ax – c = bx + d
Step 1: subtract bx from both sides
ax – c = bx + d
ax-bx = d+c
Step 2: Factor out x in the left hand side of the resulting expression
x(a-b) = d+c
Step 3: Divide both sides by the coefficient of i.e (a-b)


Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b
Answer:
The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.
Step-by-step explanation:
I hope I have your equations correct:
Member:
y = 1/10x + 60
Non-Member:
y = 1/5x