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: -18v+9w+15
Step-by-step explanation:
1. -3(6v)-3(-3w)-3(-5)
2.-18v+9w+15
875 x 12 = 10500ft squared
950 x 6 = 5700ft squared
10500 + 5700 = 16200
the total floor area is 16200 squared feet
Answer:
1-6 2-12 3-18 4-24. 10-16 20-32 30-48
Step-by-step explanation:
