Answer:
See below
Step-by-step explanation:
Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
Line a: -x+2y=3
2y = x + 3
y = (1/2)x + 3
Line b: -6x=3y-1
-3y = 6x - 1
y = -2x + (1/3)
Line c: 4x-8y=5
-8y = -4x + 5
y = (1/2)x - (5/8)
Parallel lines have the same slope (m). Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.
Slopes, m, for the lines are;
The negative inverse of (1/2) is -2.
Lines a and c are parallel (same slope)
Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2
Answer:
F 1/36
Step-by-step explanation:
There are 3+5+10 = 18 markers in the drawer
P (green) = green/total =3/18 = 1/6
P( green,green) = P(green) * P (green)
= 1/6* 1/6 = 1/36
Getting 2 greens in a row with replacement is 1/36
Answer:
Mean= $ 1.96
Mode= No mode
Step-by-step explanation:
Mean is the value obtained by dividing the sum of all the observations by their numbers.
Mean is obtained by dividing the total number of the values with the number of values.
Mean= x1+ x2+ x3 + x4/ 4
Mean = $ 1.5 + $ 2.0 + $ 2.15 + $ 2.20/4= 7.85/4= 1.9625or 1.963 or $ 1.96
Mode is the most frequent occurring value in a data set. But since all the values in the given set occur only once the data does not have any mode .
There is no mode because every value has the same frequency, that is it occurs the same number of times.
Answer:
Option 1 - - log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x
Step-by-step explanation:
Given : Expression
To find : Which expression is equivalent to given expression ?
Solution :
Expression
Applying logarithmic property,
Using property,
i.e. log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x
Therefore, option 1 is correct.