Which EST graph correctly represents the information on the table

Mathematics

1 answer:

garik1379 [7]3 years ago

3 0

Answer:

the first one

Step-by-step explanation:

A graph showing the Earliest Start Times (EST) for project tasks is computed left to right based on the predecessor task durations. For dependent tasks, the earliest start time will be the latest of the finish times of predecessor tasks.

The first graph appears to appropriately represent the table values, using edges to represent task duration, and bubble numbers to represent start times.

The second graph does not appropriately account for duration of predecessor tasks.

The third graph seems to incorrectly compute task completion times (even if you assume that the edge/bubble number swap is acceptable).

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Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

$f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.$