Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
<u> 0 -1 -1 -1 </u>
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
Answer:
1/2
Step-by-step explanation:
if you look at a unit circle, sin(\pi/6) is 
so cos of (\pi/6/2) would be \pi/3, and cos of (\pi/3) is 1/2
Answer:
D
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ BCD is an exterior angle of the triangle, thus
∠ BCD = 50° + 60 = 110° → D
Answer:
- C The range is the set of all real numbers greater than 0.
Step-by-step explanation:
We see that the function has positive range and no restriction of domain.
A The range is the set of all real numbers less than 0.
- Incorrect, positive values only
B The domain is the set of all real numbers greater than-4.
- Incorrect, the domain can get any value
C The range is the set of all real numbers greater than 0.
- Correct, the range is restricted to positive values
D The domain is the set of all real numbers less than-4.
- Incorrect, no restrictions
