Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
1.
8 < x(7 - x)
We can now substitute the given values to see which one satisfies the inequality.
8 < 2(7 - 2)
8 < 10
A is the correct answer.
2.
D.
This lists all of the factors of 24.
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Number of students who are interested in being on the team = 9
Number of positions to fill on his basket ball team = 3
So, the combinations of the three positions he can choose for the team is given by

Hence, Option 'c' is correct.
Multiply both sides by 2.2 to isolate the x.
5(2.2) = w
11 = w
hope it helps
5 weeks
Toby after 5 weeks: 15+(5x5)=40
Marcos after 5 weeks: 30+(5x2)=40
Hence, the answer is 5 weeks