Answer:
(x - 9)(x + 3)
Step-by-step explanation:
Given
x² - 6x - 27
Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)
The factors are - 9 and + 3, since
- 9 × 3 = - 27 and - 9 + 3 = - 6, thus
x² - 6x - 27 = (x - 9)(x + 3)
Answer:
The third one
Step-by-step explanation:
Answer:
The correct answer is p = K × x × (m - p) , where K is the constant of proportionality and x is the current population of the habitat.
Step-by-step explanation:
A habitat of prairie dogs can support m dogs at most.
Let us consider the current population of the habitat be x.
Given the condition that the habitat's population, p, grows proportionally to the product of the current population (x) and the difference between m and p.
Thus the proportional equation would look like:
p ∝ x × (m - p)
⇒ p = K × x × (m - p) , where K is the constant of proportionality.
Thus the equation describing the above mentioned relationship is given by the above equation.