Answer:
The first choice is the one you want
Step-by-step explanation:
First thing you need to know about this greatest integer graph is that it is aptly called a step graph. It literally looks like stair steps on your calculator: short horizontal lines that are not connected vertically. Really cool graph.
Second thing you need to know is about transformations of functions. ANY side-to-side movement in ANY function will be in a set of parenthesis (or absolute value symbols, or under a radical sign, or inside the greatest integer brackets, etc.) and ANY up or down movement will be either added or subtracted. Added means you move the function up from its starting position, subtracting means you move the function down from its starting position. Since we have no numbers inside the greatest integer brackets, there is no side-to-side movement. Since there is a "-2" after the brackets, we are moving the whole function down.
If you do not know how to graph these without a calculator and you have no idea what this graph looks like, I recommend going to your calculator to see it. First, call up your "y = " window. Next, hit 2nd-->0 (catalog), then hit the x^2 button (this will take you to the letter I in the catalog). Scroll down til you see "int( " and hit that button. It will take you back to the "y = " window. Enter an x after that set of parenthesis and then close it, then hit " - 2 " and then "graph". Your steps should begin to appear. Notice that the horizontal line between x = 0 and x = 1 is at y = -2. The parent graph has this line between x = 0 and x = 1 on y = 0. The -2 in ours moved the graph down from y = 0 to y = -2
Summing up, the first choice is the one you want as your answer.
1) |x| is the absolute value function. Its vertex is at (0,0).
2) |x-1| has the same graph as does y = |x|, except that the vertex is shifted 1 unit to the left.
3) -3|x-1| has the same graph as the previous result, except that we must reflect the previous graph in the x-axis.
4) Replace the solid lines you used in this graph with dashed ones.
5) Shade the area beneath y = -3|x-1|
In summary:
the desired graph is the shaded area below the inverted v-shaped graph of
y = -3|x-1|. Its vertex is at (-1,0).
10 of them fail so 10 of them get 0 and no points to there GPA
Answer: 40000
Step-by-step explanation:
The formula to find the sample size is given by :-
, where p is the prior estimate of the population proportion.
Here we can see that the sample size is inversely proportion withe square of margin of error.
i.e. 
By the equation inverse variation, we have
Given : 
Then, we have
Hence, the sample size will now have to be 4000.
Answer:
(-2,4)
Step-by-step explanation:
There are multiple answers for this, basically anything with an x-value of: -4, -2, 0, 2, or 4
So, you could have (2,4) , (-4,3) , (0,17), (2, -5), etc.
This is because, to be a function, each x-value can only have one corresponding y-value. Thus, by giving the x-values (in this case, again, -4,-2,0,2, or 4) another y-value, the relation will not be a function.
Easy answer: An x-value can only have one y-value
