Remark
We have to assume that there are only 3 consecutive integers.
Givens
Let the smallest integer = x
Let the middle integer = x + 1
Let the largest integer = x + 2
Formulas
4(x + 2)^2 - 3x^2 = 41+ 2*(x + 1)^2 Expand the brackets.
Solution
4(x^2 + 4x + 4) - 3x^2 = 41 + 2(x^2 + 2x + 1) Remove the brackets.
4x^2 + 16x + 16 - 3x^2 = 41 + 2x^2 + 4x + 2 Collect like terms on both sides
x^2 + 16x + 16 =2x^2 + 4x + 43 Subtract the left side from the right
0 = 2x^2 - x^2 - 16x + 4x - 16 + 43 Collect like terms.
0 = x^2 - 12x + 27 This factors
(x - 3) * (x - 9) = 0
x - 3 = 0
x = 3 or
x - 9 = 0
x = 9
Therefore numbers can be 3,4,5 or 9,10,11
We need to check both.
First group check.
Group One
4*5^2 - 3*3^2 = 41 + 2*4^2
4*25 - 3*9 = 41 + 2*16
100 - 27 = 41 + 32
73 = 73
Group one is correct.
Group Two
4*11^2 - 3*9^2 = 41 + 2*10^2
484 - 243 = 41 + 200
241 = 241 and the second group checks as well. So thee are two sets of answers.
3,4,5 and 9,10,11 <<<<<< Answer.
Note: You should put this in math.
Answer:
Natural resources
Technological development
Economic policies
Infrastructural Development
Labor
Explanation:
Economic activities can be described in terms of its growth or decline, the level of economic activities depends on factors which include ;
Natural resources : This refers to a nation's natural endowment, natural resources may include, minerals such as gold, silver, diamond, oil and so on. A country with wealth of natural resources will have theae products ready for export, and hence make food revenue from them.
Technological advancement : Many developed countries in the word today could trace their huge success to how they have leveraged technology in accomplishment of task, infomation gathering and their day to day living. Making them achieve more in less time.
Economic policies : Laws binding the economic processes are alos at the forefront of determining how a nation will trade, ehwae policies if favorable will accelerate economic activities but if otherwise may lead to decline.
Infrastructural Development : Such as good transportation scheme including roads, rail and flight travels enables the movement of proe and goods from one place to the other , energy is required to power plants and ultimately the effectiveness of economic transactions.
Labor : The working population or labor force, skilled and unskilled are required to drive economic activities as they wo be required to carryout or perform one function or the other.
