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3 years ago

A company's profit is described by the equation P(x)=-5x^2+300x+15,000

Mathematics

2 answers:

qaws [65]3 years ago

4 0

When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500

Novay_Z [31]3 years ago

3 0

P(x)=-5x^2+300x+15,000 is the equation of a parabola and represents profit. Its graph opens down. Our job is to find the x-coordinate of the vertex (which is the x-coord of the maximum profit) and then the corresponding y-value.

The formula x = -b / (2a) will produce that x-coordinate:

-(300)
x = ------------ = 30
2(-5)

When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500 (answer)

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corrected question:A jar contains two blue and five green marbles. A marble is drawn at random and then replaced. A second marble drawn at random. For each of the following, find the probability that: a) both marbles are blue b) both marbles are the same color c)the marbles are different in color

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Step-by-step explanation:

The probability was done with replacement.

Probaility of an event happening $=\frac{number of required outcomes}{number of possible outcomes}$

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(b)probability that both marbles are the same color =pr(first is blue)*pr(second is blue) + Pr(first is green)*Pr(second is green)

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(c)Probability that the marbles are different in colors=pr(first is blue)*pr(second is green) + Pr(first is green)*Pr(second is blue)

$=\frac{2}{7}*\frac{5}{7}+ \frac{5}{7}*\frac{2}{7}$

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