Use the tables below to find (p − q)(2).
A 2-column table has 3 rows. The first column is labeled x with entries 4, 2, negative 3. The second column is labeled p (x) with entries negative 1, 3, 2. A 2-column table has 3 rows. The first column is labeled x with entries 4, 2, negative 3. The second column is labeled q (x) with entries 1, negative 2, 5.
(p – q)(2) =
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Given : tables for x . p(x) and x , q(x)
To Find : (p – q)(2)
Solution:
x p(x)
4 -1
2 3
-3 2
x q(x)
4 1
2 -2
-3 5
(p – q)(2) = p(2) - q(2)
p(2) = 3
q(2) = - 2
=> p(2) - q(2) = 3 - (-2)
=> p(2) - q(2) = 5
Hence (p – q)(2) = 5
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