Answer:
When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.
Step-by-step explanation:
a)
b)
c)
d)
e)
f)
Answer: The second choice is answer.
Step-by-step explanation:
<h3>The first line (Blue One)</h3> (Slope is -1 and intercepts y at -3)
(Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)
Because there are choices, it's easy to notice.
The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)
The second one, x = 1 and almost 2 is right.
The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)
The fourth one, just like the first one... x = 4 almost 5
<h3>Or solve the equations.</h3>Substitute y=2x-8 in y=-x-3
Look at the value of x then find the answer that matches the value of x.
Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)
So the answer is the second choice.
Answer:
(a) 0.107 million per year
(b) 0.114 million per year
Step-by-step explanation:
(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, and in 2014,
. Mathematically,
(b) The instantaneous rate of change is determined by finding the differential derivative at that year.
The result of differentiating functions of the firm (where
is a constant) is
. Let's use in this in finding the derivative of
.
In the year 2014, .