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3 years ago

14

Mrs.Johnson just purchased a total of 12 books and magazines for her office. The total bill was $112. She spent $18 on magazines

, and the books cost $12 each. How many books did she buy?

1 answer:

SCORPION-xisa [38]3 years ago

3 0

She bought 154 books

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inessss [21]

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now, X ≥ 0, and X ∈ R.

(x,x + 1]∩N is the intersection between the set x and x+1 with the set of natural numbers, so the result of this operation is the set of all the natural numbers between x and x+1.

if x is a rational (or irrational) number, such as 1.5, then x +1 = 2.5

in (1.5, 2.5] there is only one natural element, the 2, then (x,x + 1]∩N is the singleton {2}

if x is a positive integer number, such as 1, then x + 1 = 2

the set is (1,2] is important to notice that 1 ∉ (1,2] because the set is open in the lower limit. so this set only contains one natural number, the 2; so again; the intersection with the natural set is a singleton

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This happens because each element in the natural set is separated by the next one by 1, and in the set (x,x + 1] although the distance between the lower and upper limits is 1, the set is open in the lower limit, so the distance is < 1. then you never can have two natural numbers on this set.

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Answer:

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Step-by-step explanation:

We have been given a function:

$f(x)=2x^3+13x^2+23x+12$

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From the given four values we will put the values in the function and wherever we get zero is the zero of the function.

put x= -1 we get:

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$f(-1)=-2+13-23+12=0$

Hence, x= -1 is the another zero of the given function.

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