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3 years ago

11

There are 208 buses in the cities bus fleet 1/8 of the buses are reserved for special trips of the remaining ones half start the

ir routes at 5:30 AM and the other half start the route at 6 AM how many buses start at 5:30 am

1 answer:

aliina [53]3 years ago

4 0

1/8 of 208 is 26. so 208-26 equals 182. then we divide by two because its half at 5:30. 182/2 equals 91. 91 buses at 5:30

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Step-by-step explanation:

We know that:

$4p\left(y-k\right)=\left(x-h\right)^2$ is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

$x^2\:+\:10x\:+\:6y\:=\:47$

Rewriting the equation in the standard form

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

where

vertex (h, k) = (-5, 12)

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