Let's factorise it :

![\: {\qquad \dashrightarrow \sf {x}^{3} (x + 3) + [-5(x + 3)] }](https://tex.z-dn.net/?f=%5C%3A%20%7B%5Cqquad%20%20%5Cdashrightarrow%20%5Csf%20%20%20%20%7Bx%7D%5E%7B3%7D%20%28x%20%2B%203%29%20%2B%20%5B-5%28x%20%2B%203%29%5D%20%20%7D)
Using Distributive property we get :



⠀
Therefore,

For this case we have the following quadratic functions:
Revenue: 
Cost: 
Then, we observe that the profit is given by the following mathematical relationship:

Substituting values we have:

Making the corresponding calculations we have:

Answer:
An expression that represents the profit is:

The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
<h3>
What is probability distribution?</h3>
Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.
- Probability distribution score: 1, 2, 3, 4,
- x probability: p(x) 0.06, 0.20, 0.48, 0.26
In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.
Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
Learn more about the probability distribution here;
brainly.com/question/26615262
As, Opposite side of Special trapezoid is equal.So, it will be a Parallelogram.
ab=c d= 19 units
Height of Trapezoid = 14 units
Area of Trapezoid = 
So, Area of Trapezoid = 266 square units
You, can use the formula for finding the area of parallelogram,which is = Base on which perpendicular is drawn × Length of Altitude
= 19 × 14
= 266 square units