When
, you're left with
When
or
, you're left with
Adding the two equations together gives
, or
. Subtracting them gives
,
.
Now, you have
By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that
and
. These alone tell you that you must have
and
.
So the partial fraction decomposition is
Answer:
11 hours
Step-by-step explanation:
104 dollars for 8 hours of work. So how much money per hour?
104/8= 13 dollars per hour
At the same rate = 13 dollars per hour, so
How many hours to make 143 dollars? With the same rate?
143/13 = 11 hours
Answer:
The eighth of an inch scale measures more precisely.
Step-by-step explanation:
An eighth of an inch means that one inch is divided into 8 equal lengths on the scale i.e. the minimum length that can be measured is 
inch.
Again a fourth of an inch means that one inch is divided into 4 equal lengths on the scale i.e. the minimum length that can be measured is 
inch.
Therefore, the eighth of an inch scale measures more precisely as it can measure more small measurements. (Answer)
The values are x = 8 and x = -1.
To find the undefined values, we need to know when the denominator is zero.
To do this, we need to factor it and find the value that would make either factor equal to zero.
If factors to: (x - 8)(x + 1)
Therefore, the undefined values would be at 8 and -1.
Use distributive property:
(a + b)(c + d) = ac + ad + bc + bd
(y + 1)(y² + 2y + 3) = (y)(y²) + (y)(2y) + (y)(3) + (1)(y²) + (1)(2y) + (1)(3)
= y³ + 2y² + 3y + y² + 2y + 3 = y³ + (2y² + y²) + (3y + 2y) + 3
= y³ + 3y² + 5y + 3
