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:
Assuming you mean on a number line.
Answer:
The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.
Answer:
If there are 24 green grapes, then there would be 32 black grapes!
Step-by-step explanation:
First, identify what you know.
1) In a bowl of fruit, there are green grapes, and black grapes.
2) The ratio of green grapes to black grapes is 3:4
3) There are 24 green grapes
Simply divide 4 by 3!
4/3 = 1.3
24 x 1.3 = 32
Hope this helps! :)
