Answer:
The simplified form of
is 
Step-by-step explanation:
Given : 
We have to write the simplified form of 
Consider the given expression 
We know 
and 
Thus,

Simplify, we have,

Thus, The simplified form of
is 
Answer:
Option C.
Step-by-step explanation:
If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.
The given division problem is

Here,

The numerator polynomial can be written as

So, the coefficients of numerator are 6, 1, 0, -3.
The synthetic division form for given division problem is
7 | 6 1 0 -3
Therefore, the correct option is C.
Step-by-step explanation:
x=90°
SUM OF ALL ANGLES OF PENTAGON =540
90+2(180-Y)+105+113=540
90+360-2Y+105+113=540
488-2Y=540
2 hours because 65 miles is = to one hour
130=65x2
130 miles is =to 2 hours
Answer:
B. [-1, ∞).
Step-by-step explanation:
g(x) = 3|x − 1| − 1
When x = 1 g(x) = 3(0) - 1 = -1.
As all negative vales of x will give positive values of |x - 1| then g(x) = -1 is its minimum value. The graph will be shaped like a letter V with the vertex at (1,-1).
Therefore the range is [-1, ∞).