Answer:
(x - 2) (x - 12)
Step-by-step explanation:
Factor the following:
x^2 - 14 x + 24
The factors of 24 that sum to -14 are -2 and -12. So, x^2 - 14 x + 24 = (x - 2) (x - 12):
Answer: (x - 2) (x - 12)
The Lagrangian,
has critical points where its partial derivatives vanish:
tells us 
, so that
Then with 
, we get
and 
tells us
Then there are two critical points, 
. The critical point with the negative 
-coordinates gives the maximum value, 
.
Answer:
the standard form of equation is in the form of
x - 9y = -45 , so the answer is B
Answer:
300 miles
Step-by-step explanation:
The distance equation is D = RT
Where
D is the distance
R is the rate
T is the time
<u>Mindy</u>
8 am to 1 pm = 5 hours
<u>Kelly</u>
8 am to 2 pm = 6 hours
Kelly's rate is 10 mph SLOWER than mindy, so if we let Mindy's rate be "m", so Kelly's rate will be " m - 10 "
Now using the distance equation, we can write:
Mindy >>> D = RT >>> D = 5m
Kelly >>> D = RT >>> D = 6(m-10) >>> D = 6m - 60
Since both the distances are equal, we can write:
5m = 6m - 60
m = 60
We want the distance, we know:
D = 5m
D = 5(60)
D = 300 miles
The distance is 300 miles
