A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.Part A) Write a formula
1 answer:
SOLUTION:
Step 1:
In this question, we are given the following:
A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.
Part A) Write a formula for the amount, A mg, of caffeine in the body t hours after drinking a cup of coffee.
Step 2:
The details of the solution are as follows:
The graph of:
is as follows:
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Answer:
Step-by-step explanation:
7) 2ab + 4ac = 2*a*b + 2 *2 *a*c
= 2a(b + 2c)
8) ac - a²c² = c( a - a²c)
bc - abc = c(b - ab)
9) b²+ 4b - 5 = b² + 5b - 1b - 5
= b(b + 5) - 1(b + 5)
= (b +5)(b - 1)
b² + 8b + 15 = b² + 5b + 3b + 15
= b(b + 5) + 3(b + 5)
= (b + 5 )(b + 3)
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
