Answer:
Option b.
Step-by-step explanation:
In a situation of a multicriteria decision problem, the decision-maker can tackle a given situation in at least two alternatives but due to some conflicting objectives, he is unable to choose the best option among the alternatives.
Therefore, in a multicriteria decision problem, <u>the decision-maker must evaluate each alternative with respect to each criterion</u>.
Answer:
Third option
x ≠2 and x cannot be any value for which v(x) = 0
Step-by-step explanation:
In this problem we are asked to find the domain of the function

We know that
.
We know that:
Domain of U(x) is all real numbers except <em>x = 0</em>
Domain of V(x) is all real numbers except <em>x = 2</em>.
Then the domain of the composite function U(V (x)) is:
all real numbers except <em>x = 2</em>. (since <em>x = 2</em> does not belong to the domain of V(x) and all values of x for which <em>V(x) = 0</em> (since <em>x = 0</em> does not belong to the domain of U(x))
Finally the domain of
) is:
and 
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
_____
<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
Answer: false because you’d add 32
Step-by-step explanation:
Correct answer is
<span>C. 6(3 + 2)</span>