Let C(x) be the statement "x has a cat," let D(x) be the statement "x has a dog," and let F(x) be the statement "x has a ferret.
" Express each of these statements in terms of C(x), D(x), F(x), quantifiers, and logical connectives. Let the domain consist of all students in your class.
1 answer:
Answer:
See attached for answer and explanation
Explanation:
Note: the question is incomplete, consider the statements below as the statements to be expressed in terms of C(x), D(x), F(x), quantifiers, and logical connectives.
(a) A student in your class has a cat, a dog, and a ferret.
(b) All students in your class have a cat, a dog, or a ferret.
(c) Some student in your class has a cat and a ferret, but not a dog.
(d) No student in your class has a cat, a dog, and a ferret.
(e) For each of the three animals, cats, dogs, and ferrets, there is a student in your class who has this animal as a pet.
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Answer:
The equation of the line is y = -4·x + 16
10 points on the line include;
(0, 16), (1, 12), (2, 8), (3, 4), (4, 0), (5, -4), (6, -8), (7, 12), (8, -16), (9, -20), and (10, -24)
Explanation:
The given points through which the line passes are;
(4, 0) and (3, 4)
The slope, 'm', of the line is given as follows;
Therefore, the slope of the line is (4 - 0)/(3 - 4) = -4
In point and slope form we can get;
The equation of the line in point and slope form is therefore;
y = -4·(x - 4) = -4·x + 16
The equation of the line in slope and intercept form is
y = -4·x + 16
10 points on the line are obtained using the equation of the line and the desired x-values input into cells on MS Excel and presented here as follows;
(0, 16), (1, 12), (2, 8), (3, 4), (4, 0), (5, -4), (6, -8), (7, 12), (8, -16), (9, -20), and (10, -24)
