Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by

We need to find the value of 
The value of the function f can be determined when
by identifying in which interval does the value of
lie in the piecewise function.
Thus,
lies in the interval
, the function f is given by

Substituting
in the function
, we get,


Thus, the value of
is 5.
Therefore, Option B is the correct answer.
Answer:
C, E
Step-by-step explanation:
Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.
The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...
x² +y² -4x -6y +8 = 0
Subtracting 8 puts us in better position to complete the squares.
x² +y² -4x -6y = -8
Now, we can add the squares of half the coefficients of the linear terms.
(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C
And we can simplify this to the standard form equation:
(x -2)² +(y -3)² = 5 . . . . . matches E
Answer: The Solution to inequality is _______ (x < -4). A graph of the solution should have______ (A filled-in circle at -4) and should be shaded to the ____ (left)
Hope this helps! Please people give more explantions like this Y'ALL MAKE IT COMPLICATED! :)
Answer:
1. $60
2. 600 Calories were burned
3. D
Step-by-step explanation:
1. $75 x .20=$15
75-15=$60
2. What I started with is 200/40=5 calories burned per min
60 plus 60=120
5x120=600
3. It's the only option that has something decreasing. and there is a -5 which means it's getting subtracted or its decreasing.