Please help me with this question
1 answer:
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Answer:
, which corresponds to answer D.
Step-by-step explanation:
Recall that the maximum or minimum of a parabola is always located at its vertex. Notice that all quadratic functions listed are given in what is called "vertex" form, since they explicitly show the vertex coordinates in their formulation:
where
, and
stand for the x and y coordinates respectively of the vertex.
Examining all four options, we notice that in all four cases listed, the is correct (equal to positive 9), so we proceed to examine what the
expression should look like for
:
Notice that when replace with "-3", we end up with a sign change:
Therefore we find that the last two options can be candidates. Then we recall that the question also states that this should be a minimum. Then, for a parabola to have a minimum, its branches must go upwards, and this corresponds to a case in which the factor (leading coefficient) multiplying (x-x_v)^2 is positive. So in looking for such condition, we find that the very last option is the only one that verifies such.
Then, is the option we select.
Answer:
Step-by-step explanation:
Given the function:
f(x) =number of days it would take to complete the project
x =number of full-time workers.
The domain of a function is the complete set of possible values of the independent variable.
In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.
Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).