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)
79 is 4 below 83 so her next grade needs to be 4 above in order to get an average of 83. The answer is 87.
Answer: 
Step-by-step explanation:
We know that the general form of the exponential decay formula is
, where y is final amount remaining after t time, A is the original amount and r is the rate of decay
Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. 
Hence, the ratio of remaining since the nuclear accident is
Answer:
The value of x is 4
Step-by-step explanation:
y = 2.5x + 65; y = 75
Now, Substitute
y = 2.5x + 65
75 = 2.5x + 65
75 – 65= 2.5x + 65 – 65
10 = 2.5x
2.5x = 10
2.5x/2.5 = 10/2.5
x = 4
Thus, The value of x is 4
<u>-TheUnknownScientist</u><u> 72</u>
Answer:15/17
Step-by-step explanation: cos = adjacent/hypotenuse
