For each of these pairs of sets, determine whether the firstis a subset of the second, the second is a subset of the first, or neither is a subset of the other. a)the set of airline flights from new york to new delhi, the set of nonstop airline flights from new york tonew delhib)the set of people who speak english, the set of peoplewho speak chinesec)the set of flying squirrels, the set of living creaturesthat can fly

(a) 2nd is subset of 1st.

(b) Neither is a subset.

(c) 1st is subset of 2nd.

Step-by-step explanation:

a) Let us assume that A be the set contains the airline flights from NY (New York) to D (Delhi)

and B be the set contains the nonstop airline flights from NY to D

A= {flights from NY to D}

B= {nonstop flights from NY to D}

All the flights from NY to D also includes nonstop flights from NY to D and so set B is a part of set A.

Hence, 2nd set is a subset of 1st set.

b)

Let us assume that A be the set contains people speaking English

and B be the set contains people speaking Chinese

A= {People speaking English}

B= {People speaking Chinese}

People speaking English and People speaking Chinese are two different sets as people speaking English may or may not speak Chinese and people speaking Chinese may or may not speak English and so neither set is part of the other.

Hence, neither set is a subset of the other set.

c)

Let us assume that A be the set contains the flying squirrels and B be the set contains the living creatures that can fly.

A= {flying squirrels}

B= {flying living creatures}

All the flying living creatures also includes flying squirrels and so set A is a part of set B.

Hence, 1st set is a subset of 2nd set.

add an image

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1