Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to


so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C

------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is 
Answer:
8 and -2
Step-by-step explanation:
Let the numbers be l and s.
We have equations:
l = 5s + 18
3l + 4s = 16
Solve for s by substituting l into the second equation:
3(5s + 18) + 4s = 16
15s + 54 + 4s = 16
19s = 16 - 54
19s = -38
s = -38/19
s = -2
Find the value of l:
l = 5(-2) + 18
l = -10 + 18
l = 8
Answer:
x = 2
Step-by-step explanation:
10x + 1 = 2(3x + 5) - 1
- mutlipy the 2 to the 3x and the 5
- you should get 10x + 1 = 6x + 10 - 1
- now you have to add the combine terms
- so it will now be 10x + 1 = 6x + 9
- now you.have to get the x's on one side and the constants (numbers alone) on the other side
- so you can subtract the 6x on both sides
- once you do that you wil get 4x + 1 = 9
- After you get this equation you will have to subtract the one from both sides.
- you will get 4x = 8
- All you have to do it divide 4 on both sides. Your final answer is x = 2.
Answer:
no
Step-by-step explanation: