Reforming the input:
Changes made to your input should not affect the solution:
(1): "0.2" was replaced by "(2/10)".
STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
2 1 1
((((—•y)+(—•x))-(—•y))-6)+-2
5 5 5
STEP
2
:
1
Simplify —
5
Equation at the end of step
2
:
2 1 y
((((—•y)+(—•x))-—)-6)+-2
5 5 5
STEP
3
:
2
Simplify —
5
Equation at the end of step
3
:
2 x y
((((— • y) + —) - —) - 6) + -2
5 5 5
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2y + x 2y + x
—————— = ——————
5 5
Equation at the end of step
4
:
(2y + x) y
((———————— - —) - 6) + -2
5 5
STEP
5
:
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(2y+x) - (y) y + x
———————————— = —————
5 5
Equation at the end of step
5
:
(y + x)
(——————— - 6) + -2
5
STEP
6
:
Rewriting the whole as an Equivalent Fraction :
6.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
6 6 • 5
6 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(y+x) - (6 • 5) y + x - 30
——————————————— = ——————————
5 5
Equation at the end of step
6
:
(y + x - 30)
———————————— + -2
5
STEP
7
:
Rewriting the whole as an Equivalent Fraction :
7.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
-2 -2 • 5
-2 = —— = ——————
1 5
Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
(y+x-30) + -2 • 5 y + x - 40
————————————————— = ——————————
5 5
Final result :
y + x - 40
——————————
5
Answer:
Step-by-step explanation:
Start by finding the slope of the given line.
Slope of given line
A perpendicular bisector cuts through the line at its midpoint perpendicularly.
The product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
, where c is the y-intercept.
To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.
Midpoint of given line
= (0, 2)
When x= 0, y= 2,
2= ⅔(0) +c
2= 0 +c
c= 2
Thus, the equation of the perpendicular bisector is .
Answer:
C) independent variable = age
dependent variable = reaction time in milliseconds
Step-by-step explanation:
The linear regression statistical test is best used for research experiment where there is a single dependent and one independent variable whjre both variables are numeric. In the given options above, the city of residence, gender, college major and political affiliation are all possible categorical variables and age, salary, miles driven and reaction time are all numerical variables. Hence, the best situation in which to use linear regression is a test where both the independent and dependent variables are either age, salary, reaction time or miles driven.
Answer:
first three terms are
-1, -1/2 & 0
Step-by-step explanation:
here,
a=-1
and d=1/2
so
t1 = -1
t2 = a+(n-1)d= -1 +(2-1)*(1/2)=-1/2
t3= a+(n-1)d= -1 +(3-1)*(1/2) =0
"-3f(x) means ""the function of x"" and is another way of writing y when the variable x is an independent variable. To get f(x) on one side of the equation, do the following:9x + 3y - 9x = 12 - 9x3y = 12 - 9x3y / 3 = (12 - 9x) / 3y = 12/3 - 9x/3y = 4 - 3xy = f(x) = -3x + 4"
