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Answer:
Therefore his average speed for the entire trip is 8 mph.
Step-by-step explanation:
Given, In 50 minutes Luis traveled uphill to gift store at 6 mph.
6 mph means in 1 h= 60 minutes Luis can covered 6 mile.
In 1 minutes Luis can covered 
mile.
In 50 minutes Luis can covered 
mile
= 5 mile
Again when he come back at home, the speed was 12 mph.
12 mph means in 1 h= 60 minutes Luis can covered 12 mile.
Therefore he traveled 12 mile in 60 minutes
He traveled 1 mile in 
minutes.
He traveled 5 mile in 
minutes
= 25 minutes.
Total distance for the entire trip is =(5+5) mile=10 mile
Total time for the entire trip is = (50+25) minutes = 75 minutes
m/min
mph
= 8 mph
Therefore his average speed for the entire trip is 8 mph.
1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
Answer:
A' is (1,1) B is (4,1) C is (1,-1)
Step-by-step explanation:
Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).
FVAD=515[((1+0.18/12)^(12*2)-1)/(0.18/12)]*(1+0.18/12)
FVAD=14967.46
