8r-5q=3, solve for q
2 answers:
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Answer:
(a) F(A, B, C) = AB'C' + A'BC' + A'B'C
(b) F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)
Step-by-step explanation:
(a) If F(A, B, C) = 1 iff exactly one of the coins is heads, then either
A is heads and the others are tails (AB'C')
B is heads and the others are tails (A'BC')
C is heads and the others are tails (A'B'C)
Hence, as a minterm expansion,
F(A, B, C) = AB'C' + A'BC' + A'B'C
(b) To get the corresponding maxterm expansion, we convert to binary.
The maxterm is the product of the complements.
Expanding,
F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)
Answer:
Option A
Step-by-step explanation:
From the graph given in the picture,
Function 1
Rate of change = Slope of the line
Slope of a line passing through two points and
is,
Slope =
Therefore, slope of the given line which is passing through (1, 2) and (-1, -2)will be,
Rate of change = = 2
Function 2
Equation of the line is,
y =
By comparing this equation with slope-intercept form of the equation,
y = mx + b
Here m = rate of change Or slope of the linear function
Rate of change of function 2 =
Therefore, rate of change of function 1 is higher than function 2.
Option A will be the answer.