<h3>Answers:</h3>
- (a) The function is increasing on the interval (0, infinity)
- (b) The function is decreasing on the interval (-infinity, 0)
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Explanation:
You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).
The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)
Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)
a=(4,1) b=(4,3) c=(8,2) d=(8,0) i think i havent done these in a while
The equation of a linear function: y = mx + b
x = y - 3 → y - 3 = x <em>add 3 to both sides</em>
y = x + 3 <em>it's a linear function!</em>
y = x³ + 2 NOT, because we have x³
y = 6x² NOT, because we have x²
y = 2/(3x) NOT, because x is in denominator.
Answer:
Half-life of the goo is 49.5 minutes
191.7 grams of goo will remain after 32 minutes
Step-by-step explanation:
Let 
denotes initial and final mass.
According to exponential decay,
Here, t denotes time and k denotes decay constant.
So, half-life of the goo in minutes is calculated as follows:
Half-life of the goo is 49.5 minutes
So,
Put 
Put t = 32 minutes
