your friend claims that it is possible to draw a parabola through any two points with different x coordinates. Is your friend correct? explain your answer

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  yes

Step-by-step explanation:

In general, a (vertical) parabola can be drawn through any 3 non-collinear points having different x-coordinates. For any given pair of points, there are an infinite number of points that are non-collinear with them.

An infinite number of parabolas can be drawn through two points. Your friend is correct.

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get