Answer: D
Step-by-step explanation:
Given that Svana wants to solve the equation 1/2x - 1.0675 = 3x - 4145.
This equation is a system of equations which can be solved by using simultaneous equation methods.
But if she uses a graphing program to graph the equations y = 1/2x - 1.0675 and y = 3x - 4.145
The solution of 1/2x - 1.0675 = 3x - 4.145. Will be the point of intersection of the two equation.
Trace the point of intersection to the x - axis and also to the y - axis.
The solution to the system of equations is ( 1.231, - 0.452 )
Answer:
x = 18/5
Step-by-step explanation:
7x + 4 = 2x+ 22
5x = 18
x = 18/5
Answer:
Constructive Proof
Step-by-step explanation:
Let x be a positive integer
x must be equal to sum of all positive integers exceeding it
i.e.
x = x + (x - 1) + ( x - 2) + ......... + 2 + 1
Equivalently,
x = ∑i (where i = 1 to x)
The property finite sum;
∑i (i = 1 to x) = x(x + 1)/2
So,
x = x(x + 1)/2 ------- Multiply both sides by 2
2 * x = 2 * x(x + 1)/2
2x = x(x + 1)
2x = x² + x ------- subtract 2x from both sides
2x - 2x = x² + x - 2x
0 = x² + x - 2x ----- Rearrange
x² + x - 2x = 0
x² - x = 0 ------ Factorise
x(x - 1) = 0
So,
x = 0 or x - 1 = 0
x = 0 or x = 1 + 0
x = 0 or x = 1
But x ≠ 0
So, x = 1
The statement is only true for x = 1
This makes sense because 1 is the only positive integer not exceeding 1
1 = 1
It is a Constructive Proof
A proof is constructive when we find an element for which the statement is true.
Answer:
jdjjdjeo
Step-by-step explanation:
I LOVE TURTLES
Don’t listen to the other person the answer is C.
x+x+x+x would be 4x. x^4 would be 4 times 4 times 4 times 4.
