Complete question is;
Cineplex operates two movie theaters in a city. The profit from one theater can be represented by the example t³ - t² + 2t - 100 where t is the number of the tickets sold. The profits from the second theater can be represented by the expression t² - 2t - 300.
Which statements are true about the expression representing Cineplex's total profits in that city?
A) The total profit expression is a polynomial
B) The total profit expression has a constant term
C) The total profit expression is quadratic
D) The total profit expression is a binomial.
E) The total profit expression has four terms
Answer:
A) The total profit expression is a polynomial
B) The total profit expression has a constant term
D) The total profit expression is a binomial
Step-by-step explanation:
Profit from the first theater is;
t³ - t² + 2t - 100
While profit from second theater is; t² - 2t - 300
It means total profit is;
t³ - t² + 2t - 100 + t² - 2t - 300
This gives;
t³ - 400
Now, this is a polynomial as the highest degree is 3. So option A is correct.
Total profit equation has a constant term which is "t". Thus, option B is correct.
Total profit equation is not quadratic as the highest degree is 3. Thus, option C is wrong.
Total profit equation is Binomial because it has just 2 terms. Option D is correct.
Option E is wrong because Total profit equation doesn't have four terms.
