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
You need to work inside out.
simplifies to
.
Now you need to cube that.
Therefore the solution is
.
Answer:
11.21
Step-by-step explanation:
5.9*1.9
1,1x + 1,2x - 5,4x = - 10
- 3,1x = - 10
x = - 10 : (- 3,1)
x = - 10 : (- 3 1/10)
x = 10 : 31/10
x = 10 * 10/31
x = 100/31
x = 3 7/31
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Answer: 49.0 square meters
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Explanation:
We'll first need to find the radius of the rug using the circumference.
C = 2*pi*r
r = C/(2pi)
r = (24.8)/(2*3.14)
r = 3.949045 which is approximate.
Now we can find the area
A = pi*r^2
A = 3.14*(3.949045)^2
A = 48.968163 this is also approximate
Rounding to the nearest tenth gets to 49.0
