29. A carpenter worked for 4 days to finish a repair job. She charged $825 for 15 hours plus $278 for materials. What is the carpenter's rate per hour?
Let’s start solving:
=> 825 dollars + 278 dollars = 1 103 dollars is the total payment a carpenter have received
=> 15 hours is the total hours he worked
=> 1 103 / 15 = 73.5 dollars per hour. This is already including the material or equipment fee.
For the given table, the difference between two consecutive y terms are

It means the difference is constant. So the given function is in arithmetic progression.
And to find the equation, representing the given series, we will use the formula for the nth term of arithmetic series, which is

Here,

So we will get

Answer:

Step-by-step explanation:
We want to determine the result of the quotient: 
We follow the procedure of long division which is set out int he table below.

Therefore:

Answer: (x-6)(x+1)
Step-by-step explanation:
Sum : x2 − 5 x- 6
x2 + x-=6 x − 6
factor pair: x 2 + x − 6 x − 6
x( x+ 1 ) − 6 ( x + 1 )
rewrite from: x (x + 1 ) − 6 ( x + 1 )
(x-6)(x+1)
Answer:
(-5, 3)
Step-by-step explanation: