Answer:
y = -3/2x - 13 and y = 4/5x - 4/5
Step-by-step explanation:
I suppose those are 2 opposite equations, and I will solve both, assuming you need both solved.
1) y = -3/2x - 13
2) y = 4/5x - 4/5
Perpendicular angle so the slope is the opposite reciprocal: 1/6

plug in x and y values of given point

find b
b = - 5
rewrite equation with b and slope values
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.
you just muliply 16 by 4 i