The following function is continuous at all points in the domain of real numbers. What is the value of n? f(x)= 2x+2, if x > n
4x, if x n
A. -1
B. 0
C. 1/2
D.1

Step-by-step explanation:

To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.

Let's solve the following expression , where and . So,

Which means , that is, if the n is greater than 1, then the function is defined by , if the n is least or equal than 1, then the functioni is defined by

Therefore, the right answer is D.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116