Answer:
The maximum value of C is 68
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Find out the area of the feasible region, using a graphing tool
The vertices of the feasible region are
(0,0),(5,19),(5,0)
see the attached figure
To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

For (0,0) -----> 
For (5,19) -----> 
For (5,0) -----> 
therefore
The maximum value of C is 68
3) MD=ED
MJD=EVD
JD=VD
TriangleMJD=TriangleEVD
by SAS
4) BE=AE
ER=ER
BR=AR
TriangleBER=TriangleAER
by SSS
Answer:
B. -50+15t>5
Step-by-step explanation:
Because the hiker climbs at a rate of 15 feet per minute, the hiker will climb 15t feet in t minutes. Therefore, -50 + 15t would represent where the hiker would be after t minutes. According to the problem, -50 + 15t is greater than 5
Answer:
y=x-1
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
First, notice that this is a composition of functions. For instance, let's let
and
. Then, the given equation is essentially
. Thus, we can use the chain rule.
Recall the chain rule:
. So, let's find the derivative of each function:

We can use the Power Rule here:
Now:

Again, use the Power Rule and Sum Rule

Now, we can put them together:

