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Tema [17]
3 years ago
10

A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 9 pe

ople. The government responds that it is too much of an inconvenience to have this busy road obstructed for three months, so the job must be completed in one month. If the relationship between construction time and crew members is inversely proportional, how many crew members does the construction team need if they are to complete the job in one month
Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

27

Step-by-step explanation:

9 crew members complete a job in 3 months

Number of crew members is inversely proportion to construction time :

Let :

Crew members = m

Construction time = t

m α 1 /t

m = k/t

m = 9 ; t = 3

9 = k /3

k = 27

If t = 1 (one month)

m =?

m = k/t

m = 27 / 1

Hence;

m = 27 * 1

m = 27 workers

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Step-by-step explanation:

One is given the following equation;

x^2-4x-9=29

The problem asks one to find the roots of the equation. The roots of a quadratic equation are the (x-coordinate) of the points where the graph of the equation intersects the x-axis. In essence, the zeros of the equation, these values can be found using the quadratic formula. In order to do this, one has to ensure that one side of the equation is solved for (0) and in standard form. This can be done with inverse operations;

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The quadratic formula uses the coefficients of the quadratic equation to find the zeros this equation is as follows,

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Substitute the coefficients of the given equation in and solve for the roots;

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Simplify,

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Therefore, the following statement can be made;

x=2+\sqrt{21}\\\\x=2-\sqrt{21}

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