Answer:
We have the equation:
(14 N/mm)*X = Y N/cm
So we want to transform 1/mm to 1/cm.
We know that:
10mm = 1cm
1 = 10mm/1cm (we want to have mm on the numerator, so it cancelates with the mm in the denominator)
then the conversion is from 1/mm to 1/cm is:
X = 10mm/cm
then we have:
(14N/mm)*(10mm/cm) = 140 N/cm
Hello,
y= x^3-4x²-3x+18=(x-3)²*(x+2)
y'=3x²-8x-3
y''=6x-8
1) Stationary points
Maximun: x=-1/3 ==>y=18,5185....
Minimum: x=3 ===>y=0 (double root)
2) x=4/3: point of inflection. (y''=0 and change sign)
Answer: The answer is 
Step-by-step explanation: Given that in a small auditorium, 320 peoples can sit. The number of peoples who can sit in the auditorium is represented by 'p'.
Since no more that 320 people can sit in the auditorium, so the number of persons who can sit there lies between 0 and 360.
Therefore, the inequalities are

Combining both of the above inequalities, we get

Thus, the required inequality is
.
Step-by-step explanation:
Below is an attachment containing the solution.
Answer:

Step-by-step explanation:
Since the line we are trying to study is parallel to the one given by the standard equation 5x + 3y = 6, it needs to have the same slope as this given line has. Let's write then this equation in slope-intercept so we can find what the slope is :

Then the slope of our line must also be "-5/3" in order to be parallel to the given line.
Now, since we also know a point (3, -1) through which the new line should go, we use the point-slope form of a line:
