I'm pretty sure the answer would be a. and b. because I know the coefficients of an expression do not have to be negative.
Answer:
(-6,4)
Step-by-step explanation:
1/3x − 2 = x + 2 is obtained by equating the following two functions:
y = (⅓)x - 2
y = x + 2
Graph:
Draw two straight lines
1) joining (0,-2) and (6,0)
2) joining (0,2) and (-2,0)
On the graph, you'll see that the above two lines intersect at: (-6,4)
Hence the solution is (-6,4)
Answer:
1.33
Step-by-step explanation:
Answer:
t = 2489 years
Step-by-step explanation:
The equation you need for this is
where N is the amount AFTER the decomposition, N-sub-0 is the initial amount, k is the decomposition constant and t is time in years.
If we are told that the tusk LOST 26% of its carbon-14, that means <u>74% of it remains</u> from the <u>initial 100% it had</u>.
Filling in:
Begin by dividing both sides by 100 to get a decimal of .74:
The goal is to get that t out of the exponential position in which it is currently sitting. Do this by "undoing" the e. Do THAT by taking the natural log of both sides because a natural log "undoes" an e. This is due to the fact that the base of a natural log is e.
The ln and the e disappear on the right side, leaving
ln(.74) = -.00012097t
Plug ln(.74) into your calculator to get
-.3011050928 = -.00012097t
t = 2489