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zhannawk [14.2K]
3 years ago
6

Write the domain and range as an inequality.

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

Step-by-step explanation:

domain is (-3,x) x- inter

range is (x,2) y-inter

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Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after
Artyom0805 [142]

Answer:

The fraction of the book that Rena read every day is \frac{4}{27}

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:  

\frac{8}{9}÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to \frac{6}{1}, by inverting the number, then you get \frac{1}{6}

Then:

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}

Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}

Finally, simplifying the fraction:

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}

So:

\frac{8}{9}÷6= \frac{4}{27}

<u><em>The fraction of the book that Rena read every day is </em></u>\frac{4}{27}<u><em></em></u>

3 0
3 years ago
Find f(g(x)) and g(f(x)).<br> f(x)=x²-2 and g(x)=√x+1
Archy [21]

Answer:

1. x - 1

2. \sqrt{x^2-1}

Step-by-step explanation:

f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1

g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}

6 0
2 years ago
Select all the statements that are correct rational approximation of irrational numbers?
eimsori [14]

The answers would most likely be A,C,and B from my calculations

6 0
3 years ago
HELP PLEASEEEE!!! SOMEONE HELP ME FOR ONCE, NO ONE IS ANSWERING MY QUESTIONS AND IM SO FREAKING STRESSED OUT. OH MY GOD SOMEONE
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Answer:

I have come to the conclusion that it is A. 112,000

8 0
3 years ago
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A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
defon

Answer:

Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons

Step-by-step explanation:

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