Answer:
First, the function:
y = x
Is:
Positive if x > 0
Negative if x < 0
Now, on another hand, the function y = IxI is:
Positive if x < 0
Positive if x > 0.
Then the only part that changes is the negative side of the domain, and the thing that changes is the sign (the change of sign is equivalent to a reflection over the x-axis or the line y = 0".
Then the correct option is:
"All points for x < 0 are reflected over the x-axis"
I suppose that this is option C, the missing one.
You would need to take 500 * .52 = 260 next take 260 * .25 to find how many cats like fish which equals 65, the probability that it likes fish and it sleeps inside can be found by taking .52 * .25 = .13 so there would be a 13% chance of picking a cat that sleeps indoors and likes fish, 435 cats dont like fish found by taking 500-65=435 and finally to find how many cats sleep outside take 500-260=240 then take 240 * .625 = 150 then 240-150 = 90 so 90 cats like to sleep outside and like fish thats it!=) Hope this helps!
We have that
[(x²+2x+1)/(x-2)]/[(x²-1)/(x²-4)]
we know that
(x²+2x+1)---------> (x+1)²
(x²-1)------> (x+1)*(x-1)
(x²-4)----->(x+2)*(x-2)
so
[(x+1)²/(x-2)]/[(x+1)*(x-1)/(x+2)*(x-2)]
[(x+1)²*(x+2)*(x-2)]/[(x-2)*(x+1)/(x-1)]
[(x+1)*(x+2)]/[(x-2)*(x-1)]
the answer is
[(x+1)*(x+2)]/[(x-2)*(x-1)]
Explanation:
A triangle can be formed for b=3 and B=15° as long as side c is between 3 and 3/sin(15°) ≈ 11.59 inches in length. The limit for side c on the high end is that it is opposite a right angle. The limit for side c on the other end is that it is opposite a linear angle.
For the given length of side c, there are two possible triangles with b=3 and B=15°. (See attached.)
_____
For the given values of b and c, the largest possible value of B is the angle that puts side c opposite a right angle: B ≤ arcsin(3/7) ≈ 25.3769°
6+2k(-1/2)-3=0.
6+1k-3=0
3+1k=0
-3
k=-3