If you would like to know which variable expression represents the word phrase, you can find this using the following steps:
<span>six decreased by the sum of a number and two
</span>the number ... m
the sum of a number and two ... m + 2
six decreased ... 6 -
________________
6 - (m + 2)
The correct result would be A. 6 - (m + 2<span>).</span>
Answer:
172 in
Step-by-step explanation:
i think g(x) has been translated up by 2 units :)
Answer:
The following classification is found:
- Absolute minimum
- Absolute maximum
Step-by-step explanation:
Let be , we need to find first and second derivatives of this expression at first:
First derivative
(Eq. 1)
Second derivative
(Eq. 2)
Critical points are points that equals first derivative to zero and that may be maxima or minima. That is:
Which leads to the following critical points:
and
Now we evaluate each result in second derivative expression:
(Absolute minimum)
(Absolute maximum)
Lastly we evaluate the function at each critical point:
And the following classification is found:
- Absolute minimum
- Absolute maximum
Answer:
The domain is all real numbers, x, such that x ≤ 4/3.
The range is all real numbers, y, such that y ≥ 0.
Step-by-step explanation:
The domain is the set of values that can be substituted for x.
The expression inside the square root cannot be negative; therefore, it must be zero or positive.
4 - 3x ≥ 0
-3x ≥ -4
x ≤ 4/3
The domain is: x ≤ 4/3
The range is the set of value that can be substituted for y.
When all numbers of the domain are used for x, and then the square root is taken, the smallest value that the square root can have is zero. Therefore, y can be all real numbers greater than or equal to 0.
The range is: y ≥ 0