Discrete structures let s(x, y) mean that x and y are siblings, p(x, y) mean that x is a parent ofy, c(x, y) mean that x and y are cousins, x = y mean that x and y are the same person and x +y mean that x and y are distinct people express each of the english sentences below in predicate logic. a) two people are siblings if and only if they are distinct and have a parent in common. (that means for any x and y, x and y are siblings if and only if they are distinct and there exists a third person, say z, such that z is the parent of x and z is the parent of y.) b) if two people are cousins then they have parents who are siblings. (that means if x and y are cousins, then there's a u and a v such that u is a parent of x, v is a parent ofy and u and vare siblings.) c) there exist three distinct people, say x, y and z, such that x is a cousin ofy and y is a cousin of z but x is not a cousin of z. (note that x+y+z isn't the same as saying x and y and z are all distinct because it allows x and z to be equal. to express that three people are distinct you need three inequalities.)

594 square inches

step-by-step explanation:

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the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

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add the numbers under frequency to find the total number:

5 + 8 +7 + 4 + 0 +1 = 25

the answer is 25.