Answer:
-2y + 3 = 0
Step-by-step explanation:
x - 6y - 9 = 0
-6y - 9 = -x subtract x from both sides
6y + 9 = x divide both sides by -1
x = 8y + 6
6y + 9 = 8y + 6 replace x with 6y + 9
-2y + 9 = 6 subtract 8y from both sides
-2y + 3 = 0 subtract 6 from both sides
Listing is for finite or "countable" sets -whatever that means to you.
49. list x-value(s) for which the equality holds
50. 0,1,2,3,4 since 5!=120
51. 0,1,2,3,4,5,6,7
52.a. P (10,3) order matters
b. P (6,3)
c. could be answer to a but I am not entirely sure.
Follow for solutions.
Answer:
12 ≤ a < 18 B is the letter
Step-by-step explanation:
i took the test
The product would be negative. Since there are three negative integers, the product would be negative. Two negatives make a positive, but another negative makes the end result negative.
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
