Answer:
You need a graph chart for this, people won't really be able to help that much, the most they can give you is the y intercept for these points.
Step-by-step explanation:
<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
. 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
.
![y=(x-3)^3+4](https://tex.z-dn.net/?f=y%3D%28x-3%29%5E3%2B4)
c) Interchange the roles of
and
and solve for ![y](https://tex.z-dn.net/?f=y)
![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
1X6+21=27
6X10+21=81
There u go hope this helped
Answer:
$15
Step-by-step explanation:
use a calculator and type 25%x12 and you will get 3
so 3 is 25% of 12
add 12 and 3 together to get your answer. $15
now, keeping in mind that 1 degree has 60 minutes, and that 1 minute has 60 seconds and therefore there are 60*60 seconds in 1 degree, or 3600 seconds.
72°22'30", has 72 degrees, plus 22 minutes and 30 seconds.
or 72 degrees plus 22/60 degrees plus 30/3600 degrees.
![\bf 72+\boxed{\cfrac{22}{60}+\cfrac{30}{3600}}\implies \cfrac{11}{30}+\cfrac{1}{120}\implies \stackrel{\textit{LCD of 120}}{\cfrac{44+1}{120}}\implies \cfrac{45}{120}\implies \cfrac{3}{8}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 72+\cfrac{3}{8}\implies 72\frac{3}{8}^o](https://tex.z-dn.net/?f=%20%5Cbf%2072%2B%5Cboxed%7B%5Ccfrac%7B22%7D%7B60%7D%2B%5Ccfrac%7B30%7D%7B3600%7D%7D%5Cimplies%20%5Ccfrac%7B11%7D%7B30%7D%2B%5Ccfrac%7B1%7D%7B120%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7BLCD%20of%20120%7D%7D%7B%5Ccfrac%7B44%2B1%7D%7B120%7D%7D%5Cimplies%20%5Ccfrac%7B45%7D%7B120%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B8%7D%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%2072%2B%5Ccfrac%7B3%7D%7B8%7D%5Cimplies%2072%5Cfrac%7B3%7D%7B8%7D%5Eo%20)