Answer:
Step-by-step explanation:
We need to write expression of the attendance in terms of the price of the tickets. We can determine the percentage increase of the attendance by decreasing the tickets price. We can have two points:
(11,29000) and (9,34000)
We have calculate the slope:
Substitute point into:
The equation is:
where x is the ticket price and y is the attendance.
To solve this problem you must apply the proccedure shown below:
1. You have that the ratio of the measures of the three angles is
2. The sum of the interior angle of a triangle is
3. Let's say that the measure of each angle is multiplied by the ratio. Therefore, you can write the following equation and solve for
:
4. Therefore, the measure of each angle is:
The answer is:
Answer:
= (x -1)(x + 1)(x - 4)(x + 4)
Step-by-step explanation:
At first, let us find the first two factors of
∵ The sign of the last term is positive
∴ The middle signs of the two factors are the same
∵ The sign of the middle term is negative
∴ The middle signs of the two factors are negative
∵ = x² × x² ⇒ first terms of the two factors
∵ 16 = -1 × -16 ⇒ second terms of the two factors
∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term
∴ (x² - 1) and (x² - 16) are the factors of
Now let us factorize each factor
→ The factors of the binomial a² - b² (difference of two squares) are
(a - b) and (a + b)
∵ x² - 1 is the difference of two squares
∴ Its factors are (x - 1) and (x + 1)
∵ x² - 16 is the difference of two squares
∴ Its factors are (x - 4) and (x + 4)
∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)
∵ (x² - 1) and (x² - 16) are the factors of
∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of
∴ = (x -1)(x + 1)(x - 4)(x + 4)