<span>The long piece should measure 7.5 feet or 7'6" (7 foot 6 inches).
If x is the length of the short piece then the length of the long piece must be 3x. The total length of the uncut beam is 10 foot.
This can be represented by :
x + 3x = 10
4x = 10
x = 2.5
As x = 2.5 = length of short piece, then the long piece measures 3x = 3(2.5) = 7.5 feet.
There are 12 inches in a foot so 7.5 feet = 7'6"</span>
x=23
a²+b²=c²
25+144=169
the square root of 169 is 13
add 10 to get x
23
<h2>
Answer:</h2><h3>False</h3><h2>
Step-by-step explanation:</h2>
Let's find the inverse function of 
to know whether this function has an inverse function ![f^{-1}(x)=-3+\sqrt[3]{x+4}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D-3%2B%5Csqrt%5B3%5D%7Bx%2B4%7D)
. So let's apply this steps:
a) Use the Horizontal Line Test to decide whether 
has an inverse function.
Given that f(x) is a cubic function there is no any horizontal line that intersects the graph of at more than one point. Thus, the function is one-to-one and has an inverse function.
b) Replace 
by 
in the equation for .
c) Interchange the roles of 
and and solve for
![x=(y-3)^3+4 \\ \\ \therefore x-4=(y-3)^3 \\ \\ \therefore (y-3)^3=x-4 \\ \\ \therefore y-3=\sqrt[3]{x-4} \\ \\ \therefore y=\sqrt[3]{x-4}+3](https://tex.z-dn.net/?f=x%3D%28y-3%29%5E3%2B4%20%5C%5C%20%5C%5C%20%5Ctherefore%20x-4%3D%28y-3%29%5E3%20%5C%5C%20%5C%5C%20%5Ctherefore%20%28y-3%29%5E3%3Dx-4%20%5C%5C%20%5C%5C%20%5Ctherefore%20y-3%3D%5Csqrt%5B3%5D%7Bx-4%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D%5Csqrt%5B3%5D%7Bx-4%7D%2B3)
d) Replace by 
in the new equation.
![f^{-1}(x)=\sqrt[3]{x-4}+3](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx-4%7D%2B3)
So this is in fact the inverse function and it isn't the same given function. Therefore, the statement is false
Unit price so compare
2 gets 64 or 7.50 get 256
grocery store 2:64=1:32=32 oz per $1
wholesale club 7.5:256=1:34.133=34.133 oz per $1
wholesale club gets you more oz of juice for the same price
A: 32 oz per $1 or $0.031 per 1 oz
B: 34.133 oz per $1 or $0.029 per 1 oz
C: best deal is at wholesale club
Answer: the 3rd one
Step-by-step explanation:
