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natulia [17]
2 years ago
10

Lewis designs a game in which players work together to run a food truck business. During one game, the business loses $260. The

four players share the loss equally. Write and solve an equation to represent the change in profit for each player.
Mathematics
1 answer:
Ronch [10]2 years ago
3 0

Answer:

They each lost 65 dollars.

Step-by-step explanation:

Well they lost 260 dollars in total. 260/4 is 65. That means they now have however much money they had before -65.

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Answer:

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Step-by-step explanation:

Given

dx^2 + cx + p = 0

Let the roots be \alpha and \beta

So:

\alpha = 2\beta

Required

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dx^2 + cx + p = 0

Divide through by d

\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0

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A quadratic equation has the form:

x^2 - (\alpha + \beta)x + \alpha \beta = 0

So:

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So, we have:

\frac{c}{d} = -3\beta -- (1)

and

\frac{p}{d} = \beta^2 -- (2)

Make \beta the subject in (1)

\frac{c}{d} = -3\beta

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Substitute \beta = -\frac{c}{3d} in (2)

\frac{p}{d} = (-\frac{c}{3d})^2

\frac{p}{d} = \frac{c^2}{9d^2}

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p = \frac{c^2}{9d}

Cross Multiply

9dp = c^2

or

c^2 = 9dp

Hence, the relationship between d, c and p is: c^2 = 9dp

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