The functions f(x) and g(x) are defined below.
2 answers:
<h3>Answer:</h3>
none of the above
<h3>Step-by-step explanation:</h3>This question wants you to see that the radical can be simplified because it is ...
The answer choices show you are expected to simplify this to ...
... f(x) = x +6
Then
... f(x)·g(x) = (x+6)(x³ -12) = x⁴ +6x³ -12x -72 . . . . . matches choice C
_____
However,
... f(x) = |x+6| . . . . . . . √(x^2) = |x|, the positive root regardless of sign of x
so the product f(x)·g(x) only matches selection C for x≥ -6. It matches the opposite of selection C for x ≤ -6.
The attached graph shows this. It graphs f(x), g(x), f(x)·g(x) (as a purple curve), and selection C (as orange dots).
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Answer:
Please check the explanation.
Step-by-step explanation:
'3 meals a day' is a unit rate because there is a 1 in the denominator.
A unit ratio is a fraction between two dissimilar units with a denominator 1.
'3 meals a day' indicate that someone is eating 3 meals in one day.
i.e. unit rate = 3 meals / per day
Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.
The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.
For example,
we know that the equation
where is the constant of proportionality and '
' and '
' are two proportional quantities, directly proportional to each other.
Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.