we will check each options
option-A:
For solving any equations , we always isolate variables on anyone side
For exp: x+7=1
so, this is TRUE
option-B:
For solving system of equations
For exp:
x-y=1
x+y=3
If we use addition , we could easily solve for x and y
so, this is TRUE
option-C:
We always solve problems using conventional method
we do not guess
so, this is FALSE
option-D:
We often reverse order of operation
For exp:
(x-2)^2-3=0
so, this is TRUE
option-E:
For linear equations , we always get one solution , infinite solutions or no solutions
so, this is FALSE
Answer:
The remainder is 1
Step-by-step explanation:
Given the Fibonacci sequence
F_1 = F_2 = 1, and
F_(n + 2) = F_(n + 1) + F_n
We want to find the remainder when F_(1999) is divided by 5.
Let us write the first 20 numbers of the sequence in (mod 5). They are
F_1 = 1,
F_2 = 1,
F_3 = 2,
F_4 = 3,
F_5 = 5 = 0 (mod 5),
F_6 = 3,
F_7 = 3,
F_8 = 1
F_(9) = 4
F_(10) = 0
F_(11) = 4
F_(12) = 4
F_(13) = 3
F_(14) = 2
F_(15) = 0
F_(16) = 2
F_(17) = 2
F_(18) = 4
F_(19) = 1
F_(20) = 0
We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0
Now, 1999 = 19(mod 20)
The 19th number in the sequence is 1.
So, the remainder is 1.
Answer: The equation is y = -6*x
Step-by-step explanation:
I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:
a = (y₂ - y₁)/(x₂ - x₁)
Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:
a = (6 - 0)/(-1 - 0) = 6/-1 = -6
Then our equation is something like:
y = -6*x + b
To find the value of b we can use the fact that this line passes through the point (0, 0).
This means that when x = 0, y is also equal to zero.
If we replace these values in the equation we get:
0 = -6*0 + b
0 = b
Then our equation is:
y = -6*x
Answer: -2
Explanation: On the image we can see it goes down 4 units and right 2. Giving us the slope 
Simplified that is -2 which is the slope of the line
