Q+P =180 so (Q is 137) p=s so (s is 43) and q = r so (r is 137)
Answer:
If you are trying to simplify this, the answer would be: 
Hope this helps! If not, feel free to comment below and I'll see what else I can do to help. Thanks and good luck!
Answer:
1/6
Step-by-step explanation:
We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation
4650 = 9300 * (1/64)^t
divide both sides by 9300
1/2 = (1/64)^t
First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because
(1/2)^6 = 64
take the 6th root of both sides
(1/2) = (64)^(1/6)
. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds
* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator
Answer:
-(x + 1)(7x - 12)
Step-by-step explanation:
Step 1: Factor out a -1
-1(7x² - 5x - 12)
Step 2:
Think. Answer this question: "What 2 numbers multiply up to -12 and adds up to -5 while 7 is an x coefficient?". You answer should be -12 and 1.
So, <em>factor</em>.
-1(x + 1)(7x - 12)
To double check, just expand/FOIL everything and see if it is the same as the original expression.
