Answer:
-20
Step-by-step explanation:
n/4 + 7 = 2
n/4 = -5
n = -20
Answer:
The temperature after 10 hours is -9 ºF.
Step-by-step explanation:
This statement can be translated mathematically as follows. The temperature after 10 hours from sunrise is:
The temperature after 10 hours is -9 ºF.
Answer:
14
Step-by-step explanation:
25-11 = 14
A differentiable function 
is increasing on an open interval 
if 
for all 
, and decreasing if 
. For this problem, you then need to compute the derivative:
then solve for 
:
We can ignore 
because 
is defined only for 
. So we have two intervals to consider, 
and 
. All we need to do is pick any value from either interval and check the sign of the derivative 
. Since 
, from the first interval we can take 
, and from the second we can pick 
.
The above indicates that is decreasing on the first interval , and increasing on the second interval .
For part (b), we use the info from above as part of the first derivative test for extrema. We have one critical point at 
, and we know how behaves to either side of this point; decreases to left of it, and increases to the right. This pattern is indicative of a minimum occurring at , and we find that has the (local) minimum value of 
.
(5,60)(10,40)
slope = (40 - 60) / (10 - 5) = - 20/5 = -4
y = mx + b
slope(m) = -4
(5,60)...x = 5 and y = 60
now we sub and find b, the y int
60 = -4(5) + b
60 = -20 + b
60 + 20 = b
80 = b
equation is : y = -4x + 80
function form : f(x) = -4x + 80...where x = number of weeks and f(x) = loads of waste removed
