To find the reciprocal, you just flip the fraction upside down, so it would be D
-2x+ 12 = x^2 +16
-2x -4 = x^2
-4= x^2 + 2x
-4= 3x
-4/3 = 3/3x
-1.333 (repeated) = x
Since it's so nicely grouped, we can work with it! For the equation to equal 0, x=0, 3, or -1 (since x-3 and x+1 equal 0 when plugged in with 3 and -1 respectively). All we have to do is plug in numbers before, between, and after these numbers and apply it to the rest of them. Since -1 is the smallest number of the group, we can plug in a number below that (for this example, -5) and plug it in to get -8*-5*-4= something negative since it contains an odd number of negative numbers. Therefore, anything less than 1 is negative. For between -1 and 0, we get x=-0.5 equals -0.5*-3.5*0.5=something positive (since it has an even amount of negative numbers), proving that everything between -1 and 0 here is positive. For something between 0 and 3, we can plug 1 in to get 1*-2*2= something negative. Do you see a pattern here? It's negative, then positive, etc.. Therefore, if the number is greater than 3 it is positive. Reviewing a bit, we can see that (-inf, -1) is negative as well as (0,3), making the interval notation (-inf, -1) U (0, 3) since when you plug -1, 0, and 3 in it is 0, not less than 0!
One of his
greatest contributions to the Persian Empire was the way he promoted tolerance
for all religions throughout the empire. The Persians left great legacies to humanity such as the construction of
the first canal, the postal system, and the creation of large gardens in
temples and cities and the tradition of carpets that are used today in homes
around the world, besides his great tolerance to different cultures and
religions.
9)1= one 1/9 for each
so do that 5 more times and u get 6/9 for each friend
or 2/3
