Ben's Bicycle Helmets makes bicycle helmets at a cost of 3000+ 12x dollars per month to produce x helmets. They sell the helmets for $21 each. 1. Determine the cost to produce 500 helmets. 2. Write an expression to represent the revenue received by selling helmets. 3. Determine the revenue for selling 500 helmets. 4. Write an equation that can be used to determine the break-even point, the point where the revenue costs. 5. Identify the break-even point. 6. Will Ben's Bicycle Helmets earn a profit by selling 500 helmets a month? Justify your response

#1

The cost to produce 500 helmets:

#5

The break-even point is the price when profit is zero:

#6

There will be a profit as the selling price is greater than the break even point:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!