6x² + 11x - 35 = (3x - 5)(2x + 7)
=> (3x - 5)(2x + 7)/(3x - 5)
i.e. 2x + 7...........as the 3x - 5 term cancels.
To answer this item, we use dimensional analysis and conversion factor, 1 revolution is equal to 2π rad. Using the concept and the given,
n = (14.2 revolutions / 8 seconds)(2π rad/1 rev)
n = 11.15 rad/s
Thus, the angular velocity is equal to 11.15 rad/s.
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:

You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:

2. Substitute it into the first equation and solve for "m":

3. Substitute the value of "m" into
and evaluate, in order to find the value of "o". This is:

Divide the actual building's measurements by the replica's measurements.

The measurements of the actual building are divided by
20 not 12.
The crew member's calculation is
incorrect.