1) True that line x = 0 is perpedicular to y = -3. Because x = 0 is parallel to the y-axis and y = -3 is parallel to the x-axis.
2) True that all the lines that are parallel to the y-axis are vertucal lines (the y-axis is vertical)
3) False that all lines perpendicular to the x-axis have a slope o 0. Their slope trends to infinity.
4) False that the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. The right equation is y = - 6
5) True thath the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1
Use easy numbers if you get confused on problems like these.
I'm going to use 12 instead of c.
Since you have 12 pieces of candy and 6 friends, each friend would get 2 pieces, because 12/6=2.
Now, substitute c for 12, and you get c/6.
Hope this helps!
Answer:
6.5 hours
Step-by-step explanation:
He pays a flat fee of $65 and a rate of $40 per hour, we can set up the equation:
Answer:
[-4,0) ∪ [2, ∞)
Step-by-step explanation:
For piecewise function domain and range, we need to understand the difference between "(" and "[" or ")" and "]"
- The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
- The brackets ( "[" and "]" ) are use for "closed circles" in the graph.
Range is the set of y-values for which the function is defined.
Now,
The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be
[2, ∞) (infinity is always with parenthesis)
Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:
[-4,0)
This is the range, 2nd answer choice is correct.
[-4,0) ∪ [2, ∞)
Solution
The table below is the required sample space of the to fair die
From the above table
The sample space contain 36 outcomes
Event A: The sum is greater than 9
we will look at the table and count all the elements that are greater than 9
There are 6 elements (they are 10, 10, 10, 11, 11, 12 from the table)
The probability for event A will be
P(A) = 1/6
Event B: The sum is an even number.
We will look at the table and count the number of elements that are even
There are 18 elements (notice that there are 3 even number on each of the 6 rows of the table)
The probability for event B will be
p(B) = 1/2
