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:
George made the first mistake by multiplying by 7 instead of 8
Step-by-step explanation:
The total cars needed to have a mean of 24:
24 x 8 = 192
Total cars sold during the seven months:
18 + 22 + 26 + 12 + 25 + 20 + 19 = 142
Subtract the total cars sold from the total cars needed:
192 - 142 = 50
George needs to sell 50 cars in the eight month in order to have an average of 24 cars sold per month.
Answer:
Step-by-step explanation:
This is an equilateral triangle.
The altitude bisects the 60 degree angle, so a=30
b=60 since its an interior angle of the isosceles triangle.
e = 4 since the two triangles formed by the altitude are congruent.
c = 8 since the side length is 4 + 4 = .
f = 4sqrt3 by the properties of 30 60 90 triangles.
Answer:
3.06417777
Step-by-step explanation:
cos(40)=x/4
Answer:9/15
Step-by-step explanation:
You change 2/5 to 6/15 by multiplying each by 3 then adding it to 3/15 to get 9/15.
