Answer:
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Answer:
c = 5
Step-by-step explanation:
We can find a, b, c by filling in values from the table into the equation:
17 = a(2²) +b(2) +c
32 = a(3²) +b(3) +c
53 = a(4²) +b(4) +c
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There are numerous ways to solve 3 linear equations in 3 unknowns. We can use elimination.
Subtracting the first equation from each of the other two, we get ...
15 = 5a +b . . . . . . . . . note that c has been eliminated from the equations
36 = 12a +2b
Subtracting twice the first from the second gives ...
(12a +2b) -2(5a +b) = 36 -2(15)
2a = 6
a = 3
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Now that we have a value for "a", we can "back substitute" into the equations to find "b" and "c".
Substituting this into 15 = ..., we get ...
15 = 5(3) +b
0 = b
And substituting for "a" and "b" in the first original equation gives ...
17 = 4(3) +c
5 = c
The value of c, the constant of the function, is 5.
Well <span>(x, y)→(−x, y) </span>means it's reflected off the y-axis(You can experiment this with random points on a graph)
(x, y)→(x−1, y+2) means that every point is moved to the left by 1 and up by 2, in other words, the triangle is translated left 1 up 2.
Since the only thing that effects congruency is dilation(rotation, translation, and reflection only move the shape, not change it), The new triangle should equal the old one.
Thus we would get the first choice
Answer:
Jun 2, 2018 — 108cm3. Explanation: We are given the volume function: V=s3. The rate of change is found using the first derivative of this function. This is often ...
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Step-by-step explanation:
