Answer:
I think it's A
Step-by-step explanation:
 
        
             
        
        
        
comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

so substituting the value of m in to the equation

=

as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them 
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0 
therefore the equation for the line is x-2y -5=0
 
        
             
        
        
        
ANSWER: The statistical procedure that should be performed is REGRESSION. 
Step-by-step explanation: Regression is a statistical procedure that is used to estimate the relationship between an independent variable and a dependent variable using their mean values. 
The independent variable in this case is the hours each student spend in studying, while the dependent variable is the students grade. 
Since the researcher wants to determine if the hours a student spend in studying maths and science has any significant effect on their grades. The researcher should use regression, because it will show if the two variables are related and how it relates, by showing how far the points are from the trend lines of the graph.
 
        
             
        
        
        
Let the colored pencil amount be p.
Then this is the equation:
12p+p=78
Simplifying, we can see that
13p=78
Divide both sides by 13 to get
p=6
Since there are 12 times as many markers as colored pencils, there are 72 markers.
        
             
        
        
        
Answer:
you would first make them improper fractions 
58/8 - 106/16
then you would time 58/8 by 2/2 to get like denominators 
116/16 - 106/16= 10/16= 5/8 
So your answer is 5/8
Step-by-step explanation: