If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.
Out of these, Bloopin and Rudy are together in 4!=24 times. Similarly Rudy and Bloopin will be together 4!=24 times. So the number of ways they are not together is 120-24-24=72 ways.
The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.
<h3>How to Find the Graph of a Linear Inequality?</h3>
The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.
On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.
Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.
Graph A has a slope of -1/3 and the shaded part is above the boundary line.
Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.
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Answer:
See below
Step-by-step explanation:
Domain: set of x values
Range: set of y values
Function: no two x values are the same
Line 1:
Domain: {3, 4, 5}
Range: {1, 2, 3, 4}
Function: no since there are two points with x-coordinate 3
Line 2:
Domain: {-1, -2, 1, 2}
Range: {1, 3}
Function: yes since all x-coordinates are different
Line 3:
Domain: {-2, -1, 0, 1, 2}
Range: {0, 1, 4}
Function: yes since all x-coordinates are different
Answer:
25 times
Explanation:
Blue Marvels: 3
Red Marvels: 5
Total Marvels: 5 + 3 = 8 marvels
Probability: favorable outcomes/total outcomes
Probability - red marble = 5/8
After Doing 40 times:
= 5/8 × 40
= 25
Using a Graph we can determine the greatest area the rectangle can have using the midpoint between the two w-intercepts.