This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
Answer:
40
Step-by-step explanation:
Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.
As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.
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The equation reduces, mod 23, to ...
10x = 11
Its solutions are x = 23n +8.
75<span>°. So divide 120 by 8, then multiply 8 with 15. That's the measure of the larger angle. </span>
The correct answer is A. (-3,2).
Subtract to find the amount of tax paid:
1890 - 1800 = 90
Divide the amount of tax by the price of the computer:
90 / 1800 = 0.05
Multiply the decimal by 100:
0.05 x 100 = 5%
The tax rate is 5%
