5(x + y) - 3(x - y)
5x + 5y - 3x + 3y
5x - 3x + 5y + 3y
2x + 8y
5(x + y) - 3(x - y) = 2x + 8y
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
All these numbers are common factors of 12 and 24 because you can divide each one by all of the factors
ex. 12/3 = 4
24/3 = 8
if you don't get a decimal answer, then it is a factor of these numbers
Answer: Hello!
the cross product between sets is defined as:
if A = {a,b,c} and B = {1,2,3)
then
![AxB = \left[\begin{array}{ccc}a\\b\\c\end{array}\right]x\left[\begin{array}{ccc}1&2&3\end{array}\right] =\left[\begin{array}{ccc}a1&a2&a3\\b1&b2&b3\\b1&b2&b3\end{array}\right]](https://tex.z-dn.net/?f=AxB%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%5C%5Cb%5C%5Cc%5Cend%7Barray%7D%5Cright%5Dx%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5Cend%7Barray%7D%5Cright%5D%20%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da1%26a2%26a3%5C%5Cb1%26b2%26b3%5C%5Cb1%26b2%26b3%5Cend%7Barray%7D%5Cright%5D)
where the A took the place of the columns, and B for the files.
then if our sets are A = {a,b} and B = {a,b,c)
a) AxB
![AxB = \left[\begin{array}{ccc}aa&ab&ac\\ba&bb&bc\end{array}\right]](https://tex.z-dn.net/?f=AxB%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Daa%26ab%26ac%5C%5Cba%26bb%26bc%5Cend%7Barray%7D%5Cright%5D)
b) BxA
![BxA = \left[\begin{array}{ccc}aa&ab\\ba&bb\\ca&cb\end{array}\right]](https://tex.z-dn.net/?f=BxA%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Daa%26ab%5C%5Cba%26bb%5C%5Cca%26cb%5Cend%7Barray%7D%5Cright%5D)
c) AxA
![AxA = \left[\begin{array}{ccc}aa&ab\\ba&bb\end{array}\right]](https://tex.z-dn.net/?f=AxA%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Daa%26ab%5C%5Cba%26bb%5Cend%7Barray%7D%5Cright%5D)
d) BxB
![BxB = \left[\begin{array}{ccc}aa&ab&ac\\ba&bb&bc\\ca&cb&cc\end{array}\right]](https://tex.z-dn.net/?f=BxB%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Daa%26ab%26ac%5C%5Cba%26bb%26bc%5C%5Cca%26cb%26cc%5Cend%7Barray%7D%5Cright%5D)
Hope it helps, i know that is kinda hard work with this kind of operations, i tried to make a kinda of map in the first part so you can replace the values of A and B and do the multiplications by yourself, if you have troubles don't doubt of asking.
Answer:

Step-by-step explanation:
Given
per game

at most
Required
Represent using an inequality
Represent the number of games with g
So, if 1 game costs $2,
g games would cost $2 * g
Since, I will be spending on games and food, my spending can be calculates as:

From the question, we understand that total spending is at most $25.
The term at most means 
So, the expression can be represented as:

This gives:


The above inequality models the scenario