Answer:
We conclude that:
Step-by-step explanation:
Given
The product of 6g² and -2g³ can be determined by multiplying each other such as:
Apply the rule: a(-b) = -ab
Apply exponent rule: 
Therefore, we conclude that:
Y - 3 = X + 2 ...............….... (1)
2X - 1 = Y ........................... (2)
From (2),
2X - 1 = Y
Y = 2X - 1
Sub (2) into (1),
(2X-1) - 3 = X + 2
2X - 1 - 3 = X + 2
2X - X = 2 + 1 + 3
X = 6
Sub x=6 into (1),
Y = 2(6) - 1
Y = 12 - 1
Y = 11
Answer:
5 months
Step-by-step explanation:
One cellphone provider charges AED10 per month plus an activation fee of AED20.
If I used the services of this cellphone provider for x months, total charges for the services,
y = 10x + 20 --------(1)
Similarly, charges for the second cellphone provider for x months of uses will be,
y = 11x + 15 -------(2)
Input-output table for equation (1)
x 1 2 3 4 5
y 30 40 50 60 70
Input output table for equation (2)
x 1 2 3 4 5
y 26 37 48 59 70
From these tables, we find (5, 70) is a common point for both.
It reveals that after the uses of 5 months charges for both the cellphone providers will be same (y = $70)
The sum of the first natural numbers is 20100
103^2-102^2
The property that applies here is a^2-b^2 = (a+b)(a-b)
so the answer is 103^2-102^2=(102+103)*(103-102)= numerically it is 205( as 103+102 = 205 and 103-102 = 1.....so 205*1 = 205)
The thing is that usually the factorization ends at (102+103)(102-103) ......
