May be there is an operator missing in the first function, h(x). I will solve this in two ways, 1) as if the h(x) = 5x and 2) as if h(x) = 5 + x
1) If h(x) = 5x and k(x) = 1/x
Then (k o h) (x) = k ( h(x) ) = k(5x) = 1/(5x)
2) If h(x) = 5 + x and k (x) = 1/x
Then (k o h)(x) =k ( h(x) ) = k (5+x) = 1 / [5 + x]
Answer: $172.50
Step-by-step explanation: Method 1:
The original price of the item is $230.
The discount is 25%.
Let's find 25% of $230.
25% of $230 = 0.25 * $230 = $57.50
The discount amount is $57.50.
Now we subtract the amount of the discount from the original cost.
Sale price = $230 - $57.50 = $172.50
Method 2.
The original price is $230.
That means that $230 is 100% of the price since 100% of a thing means the entire thing.
Since the discount is 25% of the price, we subtract 25% from 100%, 100% - 25% = 75%.
The sale price is 75% of the original price.
Now we find 75% of $230.
75% of $230 = 0.75 * $230 = $172.50
Answer: Matrix B is non- invertible.
Step-by-step explanation:
A matrix is said to be be singular is its determinant is zero,
We know that if a matrix is singular then it is not invertible. (1)
Or if a matrix is invertible then it should be non-singular matrix. (2)
Given : A and B are n x n matrices from which A is invertible.
Then A must be non-singular matrix. ( from 2 )
If AB is singular.
Then either A is singular or B is singular but A is a non-singular matrix.
Then , matrix B should be a singular matrix. ( from 2 )
So Matrix B is non- invertible. ( from 1 )
Answer:
$73,000
$43,000 + $5,000 x t
Step-by-step explanation:
Every year increase $5,000, after 6 years increase $5000 x 6 = $30,000
Her salary will be $43,000 + $30,000 = $73,000
After t years, her salary will be
$43,000 + $5,000 x t
Answer:
5 1/8 feets
Step-by-step explanation:
Given that:
PLAN A:
Length of post = 4.25 feets
Post must be 7/8 feets below the ground
Height of fence in PLAN A :
Converting 4.25 feets to decimal :
4.25 feets = 4 feets + 0.25 feets
0.25 feets = 1/4 feets
4 + 1/4 feets = 4 1/4 feets
4 1/4 feets + 7/8 feets
17 /4 feets + 7 /8 feets = [(34 + 7) / 8] feets
[(34 + 7) / 8] feets = 41/ 8 feets
41 / 8 feets = 5 1/8 feets
