Suppose the points (1.6) (-2,21), and (4,45) are on a parabola with equation y = ax^2 +bx+c. (a) plug each of the points into this equation to get a system of three equations (one for each point) in three unknowns (a, b,c). (b) use matlab to solve this system and obtain the equation of the parabola, (c) describe how this method would work (or not) if you only had two points that were to be on a parabola. (d) describe how this method would work (or not) if you had four points that were to be on a parabola.

answer: slight chance that it will happen

step-by-step explanation:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

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