For this case, we have to:
By definition, we know:
The domain of
is given by all real numbers.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root. Thus, it will always be defined.
So, we have:
with
:
is defined.
with
is also defined.
has a domain from 0 to ∞.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.
Thus, we observe that:
is not defined, the term inside the root is negative when
.
While
if it is defined for
.
Answer:

Option b
Answer:
2.5cm
Step-by-step explanation:
area of a trapeziod = 1/2 (a+b)×h
a=1cm
b=5cm
h=?
area= 7.5cm^2
••••• 7.5cm^2=1/2 (6)h
7.5= 3h
then height = 7.5/3= 2.5cm
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation
-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 =
<span>
<span>
<span>
3.1622776602
</span>
</span>
</span>
x1 =
<span>
<span>
<span>
13.1622776602
</span>
and don't forget that square root of 10 also equals </span></span><span><span><span> -3.1622776602
</span>
</span>
</span>
x2 = 10
-<span>
<span>
<span>
3.1622776602
x2 = </span></span></span>
<span>
<span>
<span>
6.8377223398
</span>
</span>
</span>
Answer:
Third one
Step-by-step explanation:
30x would be 30 times the amount of fish (x)
+ 80y would be 80 times the amount of octopus captured (y)
- 15z would be subtracting 15 times the amount of crabs she captures
I don’t understand what you mean