sixteen men working 9 hrs a day can complete a pice of work in 14 days .How many more men working 7 hrs a day would complete the same job in 12 days ?

8 more men are needed to complete the job

Step-by-step explanation:

Proportions

This problem can be solved by step-by-step reasoning applying proportions:

The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.

The same reasoning applies here, fewer men=more days.

Now for the second condition. Increase the hours/day:

More hours/day=less days to complete the job

We know this last time is 12 days, thus:

Solving for x:

24 men are needed now, this is an increase of 24-16=8 more men

8 more men are needed to complete the job

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2