Considering the definition of the absolute value function, the expression is written as -7m + 56.
<h3>What is the definition of the absolute value function?</h3>The absolute value function is defined as follows:
That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.
In this problem, the expression is:
|7m - 56|
For m < 8, we have that one example is m = 0:
7(0) - 56 = -56.
The expression is negative, hence the signal is changed, that is:
|7m - 56| = -(7m - 56) = -7m + 56.
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Answer:
f(-x)= -f(x) so, the given function is Odd
Step-by-step explanation:
We need to determine if the function is Even, Odd, or Neither.
Determining if a function f(x) is even or not we put x=-x and check
If f(-x)=f(x) the function is even
if f(-x)= -f(x) the function is odd
So, Putting x =-x and determining if the given function is Even, Odd, or Neither.
As f(-x)= -f(x) so, the given function is Odd
Answer:
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
Where is the force acting on the object,
is the object's acceleration and
is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting and
into the equation and solving for
:
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
3. The result is: