Answer:
since you recorded the first marble then replaced it, you drew 10 blue marbles, so therefore we can predict the next marble you drew, was blue.
Step-by-step explanation:
Answer:
See picture and explanation below.
Step-by-step explanation:
With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.
A is defined as
denotes the vector of coordinates of
respect to the basis
(we can apply this definition because
forms a basis for the domain of T).
The vector of coordinates can be computed in the following way: if
then
.
Note that we have all the required information:
then
hence
The matrix A is on the picture attached, with the multiplication A(1,1,1).
Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:
In this last case, we can either use the linearity of T or multiply by A.
0.8888888 = 8/9
2.8888888 = 26/9
-2.888888 = -26/9
When you know your equation f(x) and they want you to find f(-4), it means that they want to know what f(x) is worth when x=-4
Therefore, you only need to plug in you x in the equation
f(x)=5x-2
f(-4)=5(-4)-2
=-20-2
=-22 (B)