Answer:
72
Step-by-step explanation:
Let
Carl grades = x = 62, 78, 59, 89
Number of grades, N = 4
Mean of Carl's grade = sum of x / number of grades,N
= (62 + 78 + 59 + 89) / 4
= 288/4
= 72
Therefore, mean of Carl's grade = 72
<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
.

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
Answer:
49
Step-by-step explanation:
M=y2-y1/x2-x1
M=-10-77/-3-66
M=-88/-69
M=88/69
M=1 19/69
Hope this helps!
Just multiple the three numbers then divide it by 6.5