Answer:
The numbers of measure of music played are 1 and 7
Step-by-step explanation:
Given

Required
Solve for x when s = 80
Substitute 80 for x

Subtract 50 from both sides


Divide through by 10


Reorder

This can be split into
or 
Solve for x
or 
or 
Hence:
<em>The numbers of measure of music played are 1 and 7</em>
If the garden is square it would be 8 square feet.
Well you could multiply 432 by 0.75, or you can divide it by 4 and then multiply it by 3. Either way your answer is 324.
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.
Answer:
x = 24
Step-by-step explanation:
1/6 x + 3 = 7
1/6 x = 4
x = 24