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:
77
Step-by-step explanation:
HAV A GREAT DAY hope this helps
Hello
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2.
Hey there!
You would be able to rent the limo for 4 hours plus the booking fee.
75 x 4 = 300
300 + 50 = 350
350 = 350
Hope this helps you! :)
Hugs!
- Nicole
Answer: The system of equation is,
2 ( x + y ) = 50
x = 2 y - 5
Step-by-step explanation:
Let x represents the length of the rectangular brownie and y represents the width of the rectangular brownie.
Thus, the perimeter of the brownie = 2 ( x + y )
But, According to the question,
Perimeter of the brownie = 50,
2 ( x + y ) = 50
The length of the brownie is 5 less than twice the width,
That is, x = 2 y - 5
Thus, the required system of equation is,
2 ( x + y ) = 50 , x = 2 y - 5
