For this case, we must find the inverse of the following function:

We follow the steps below:
We exchange the variables:

We put the variable y on the left side of the equation:

We apply logarithm properties:

So:

Answer:

Option B
Answer:
f=1,098
Step-by-step explanation:
- subtract 66 from -300
- now you have -1/3f=-366
- multiply by the reciprocal of -3
- you have your answer
Answer:
10 and 4.
Step-by-step explanation:
Let x be the first number.
Let y be the second number.
x + y = 2x - 6
x - y = 4y - 10
x = 4y - 10 + y
x = 5y - 10
(5y - 10) + y = 2(5y - 10) - 6
6y - 10 = 10y - 20 - 6
6y - 10 = 10y - 26
6y - 10y = -26 + 10
-4y = -16
y = 4
x - (4) = 4(4) - 10
x - 4 = 16 - 10
x - 4 = 6
x = 6 + 4
x = 10
First do 43 - 30= $13 for two hats
so for one hat you do 13 divided by 2 which equals= <u>$6.50</u> for one hat
then you do 30 - 13= $17 for two pairs of gloves
so for one pair of gloves you do 17 divided by 2=<u> $8.50</u> for one pair of gloves
Answer:
![\left[\begin{array}{ccc}-32\\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The product of a scalar times the matrix involves the product of that scalar times each of the elements of the matrix, resulting on the multiplication by "-4" of each of the four elements as shown below. These new product values end up being the new matrix elements.
![-4*\left[\begin{array}{ccc}8\\-1\\-5\\9\end{array}\right] = \left[\begin{array}{ccc}-32\\4\\20\\-36\end{array}\right]](https://tex.z-dn.net/?f=-4%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C-1%5C%5C-5%5C%5C9%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-32%5C%5C4%5C%5C20%5C%5C-36%5Cend%7Barray%7D%5Cright%5D)