Answer:
for 
and 
for 
Step-by-step explanation:
Remember that the CDF of an exponental random variable is given by
where 
is the parameter. In this case 
so, for this case
Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
9514 1404 393
Answer:
x = 12.75
∠C = 51.75°
Step-by-step explanation:
The two marked angles are complementary, so ...
(5x -12) +(3x) = 90
8x = 102
x = 102/8
x = 12.75
__
C = (5x -12)° = (5(12.75) -12)°
∠C = 51.75°
__
<em>Check</em>
E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should
Step-by-step explanation:
TO FIND THE DOMAIN OF THIS FUCTION AVOID SITUATIONS LIKE Y=2/0 FOR THIS IS UNDEFINED.
TAKING THE DENOMINATOR AND EQUATING IT TO ZERO
=> X – 6 =0
=> X=6
SO AVOID HAVING X = 6 IN THE DENOMINATOR FOR WHICH THE FUNCTION WILL BECOME UNDEFINED
THEREFORE, X ≠6
DOMAIN ={ X£R, x ≠6}
I.e all real numbers except 6
Plug h = 3 and g = 27 into the expression:
