Answer:
<em>A=3 and B=6</em>
Step-by-step explanation:
<u>Increasing and Decreasing Intervals of Functions</u>
Given f(x) as a real function and f'(x) its first derivative.
If f'(a)>0 the function is increasing in x=a
If f'(a)<0 the function is decreasing in x=a
If f'(a)=0 the function has a critical point in x=a
As we can see, the critical points may define open intervals where the function has different behaviors.
We have
Computing the first derivative:
We find the critical points equating f'(x) to zero
Simplifying by -6
We get the critical points
They define the following intervals
Thus A=3 and B=6
Answer:
d = 1/2
Step-by-step explanation:
5/6 = 1/3 + d
~Find common denominators
5/6 = 2/6 + d
~Subtract 2/6 to both sides
3/6 = d
~Simplify
1/2 = d
Best of Luck!
(Y-Y1)/(X-X1)
(-9-(-29))/(7-15)
20/-8
-2 1/2
The slope is -2 1/2
The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
Read more about Alternate Angles at; brainly.com/question/24839702
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