Answer:
Function is decreasing on (-8,infinity)
Step-by-step explanation:
The given function is
The first derivative is given by
For the function to be decreasing, we have
Divide both sides by -2. Since, we are dividing by a negative number hence, the inequality sign will change.
Subtract 8 to both sides
Therefore, the function is decreasing on (-8,infinity)
First option is correct.
Answer:
(x, y) = (-0.6, 0.8) or (1, 4)
Step-by-step explanation:
Use the second equation to substitute for y in the first.
(x -1)² +((2x +2) -2)² = 4
x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses
5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms
Now we can rearrange the middle term to ease factoring by grouping.
(5x² -5x) +(3x -3) = 0
5x(x -1) +3(x -1) = 0
(5x +3)(x -1) = 0
The values of x that make these factors zero are ...
x = -3/5, x = 1
The corresponding values of y are ...
y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5
y = 2(1) +2 = 4 . . . . . . . . for x = 1
The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).
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A graphing calculator verifies these solutions.
First you had to subtract by one from both sides of equation form.
Then simplify.
Next multiply by two from both sides of equation form.
You can also cross it out for .
Finally you simplify by equation.
Final answer
Hope this helps!
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-Charlie
