Which number belongs in the integers area on the venn diagram?
a) −19
b) −5
9

c) 12
d) 14.25

-19      - Integer

-5       - Integer

12       - Whole Number

14.25 - Rational Numbers

Step-by-step explanation:

Whole numbers = {0, 1 , 2, 3, . . . }

They are the the natural numbers and zero.

Integers: {. . . , -3, -2, -1, 0 , 1, 2, 3, . . . }

Rational Numbers: These are the numbers that can be written in the form of where .

Note that All Whole numbers are integers.

All Integers are in turn Rational Numbers. (When q = 1, we get all the integers.).

In the given problem, we have: -19 Negative number. It should be an Integer.

Similarly -5 is also an integer.

12 is a whole number. Note that it is also an integer. Consequently, a rational number.

And 14.25 = is in the form of . So it is a rational number.

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the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).