Answer:
it's an inscribed angle
Step-by-step explanation:
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
Answer:
1/6
Step-by-step explanation:
this seems too simple but...
6/6 would be all the cupcakes the whole
so if 5/6 are gone than
1/6 are left
Answer:
x = 71
Step-by-step explanation:
The sum of the measures of the exterior angles of a polygon is always 360°.
A triangle has 3 exterior angles.
152+ 137+x = 360
Combine like terms
289 +x = 360
Subtract 289 from each side
289-289+x=360-289
x = 71