Answer:
x₁ = 0
x₂ = 6
Step-by-step explanation:
9x² - 54x = 0
9x(x - 6) = 0
x(x - 6) = 0
x = 0
x - 6 = 0 → x = 6
Hope this helps! :)
Answer:
b
Step-by-step explanation:
The point lies directly on the regression line.
Answer:

Step-by-step explanation:
The question is to find the equation of the line going through the points (3,-1) and has a slope of -1.
First, the equation of a line is given as:
Equation = y = mx + b
Where
m is the slope
b is the y-intercept (y-axis cutting point)
We know the slope, so the equation becomes:
y = mx + b
y = -1x + b
y = -x + b
Now the point given is in the form (x,y), so
x = 3
y = -1
We substitute and find b:
y = -x + b
-1 = -3 + b
-1 + 3 = b
b = 2
Final Equation:
y = -x + 2
This can be calculated easily.
As any two digit number can be written in the following form:
N= 10x +y
If we reverse the number now, it would become:
N' = 10y + x
So if we subtract one from the other, we should obtain 18 ( as mentioned in the question ).
N-N'= 18
=> x-y = 2
Thus, any number whose digits differ by two would be an aswer to the question.
The only numbers which satisfy this are : 13,24,35,46,57,68,79
But this would not be true for any 3 or more digit number.