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Mrrafil [7]
3 years ago
5

How to write domain and range

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Domain is the complete list of x-values that a function can have, and the range is the complete list of y-values that a function can have.


Domain and range can be written as (x, y) if the domain/range does not include the x or y value.


Domain/range can be written as [x, y] if the domain/range does include the x or y value.


If the function has multiple intervals, we use U to symbolize "union."

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Prove that the gregorian calendar repeats itself every 400 years.
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The calendar obviously has an integral number of years and months in 400 years. If it has an integral number of weeks, then it will repeat itself after that time. The rules of the calendar eliminate a leap year in 3 out of the four century years, so there are 97 leap years in 400 years. The number of excess days of the week in 400 years can be found by ...

(303·365) mod 7 + (97·366) mod 7 = (2·1 + 6·2) mod 7 = 14 mod 7 = 0

Thus, there are also an integral number of weeks in 400 years.

The first day of the week is the same at the start of every 400-year interval, so the calendar repeats every 400 years.

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Multiplying a number by 4/5 then dividing by 2/5 is the same as multiplying what number?
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Y equals negative X squared +10 X -26
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When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8 ?
Zanzabum

Answer:

\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}

Step-by-step explanation:

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?

f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}

8 0
3 years ago
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