Given:
After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after x hours can be modeled by the function
To find:
Interpret the given function values and determine an appropriate domain for the function.
Solution:
The general form of an exponential function is
Where, a is the initial value, 0<b<1 is decay factor and b>1 is growth factor.
We have,
Here, 110 is the initial value and 0.83 is the decay factor.
It means, the amount of medicine in the person's bloodstream after taking the dose is 110 milligrams and the amount of medicine decreasing in the person's bloodstream with the decay factor 0.83 or decreasing at the rate of (1-0.83)=0.17=17%.
We know that an exponential function is defined for all real values of x but the time cannot be negative. So, x must be non negative.
We know that for any value of x. So, for all values of x.
Therefore, domain of the function is and the range is .
Answer:
Irrational
Step-by-step explanation:
Any number that can be written as a fraction or a ratio is a rational number. The product of any two rational numbers is therefore a rational number, because it too may be expressed as a fraction. For example, 5/7 and 13/120 are both rational numbers, and their product, 65/840, is also a rational number.
An irrational number is a number that is NOT rational. It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.
Answer:
40:80
Step-by-step explanation:
When the questions asks the ratio of roses to daisies, the answer should be respectively answered with the number of roses first and then daisies. You find the number of roses by subtracting the total number of flowers from the number of daisies which is 120-80. 120-80=40. Since there are 40 roses and 80 daisies you right 40:80. You can also write a ratio as a fraction so 40/80 or
Answer:
It might be 6
Step-by-step explanation:
I got (-1,-7) but that’s not a option?