Answer:
y ≤ -1/3x + 1
Step-by-step explanation:
The shading is below the line so it is y ≤ and then the slope is -1/3x because when you go down 1 and 3 units to the right, you get another point. And lastly, the y-intercept is 1.
I hope this helps
Answer:
the maximum concentration of the antibiotic during the first 12 hours is 1.185 at t= 2 hours.
Step-by-step explanation:
We are given the following information:
After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in
Thus, we are given the time interval [0,12] for t.
- We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
- The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.
First, we differentiate C(t) with respect to t, to get,
Equating the first derivative to zero, we get,
Solving, we get,
At t = 0
At t = 2
At t = 12
Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 at t= 2 hours.
She would have to use 11 1/4 milliliters of perfume 3 3/4= 15/4 multiply 15/4 by 3/1
15/4 (3/1)= 45/4= 11 1/4
Answer:
2.5
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
f(x)= x²+3x-1
f(-1)= (-1)²+3(-1)-1
= 1-3-1
= -2-1
= -3