The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain
1 answer:
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We know the following relationship:
The domain of a function are the inputs of the function, that is, a function
is a relation that assigns to each element 
in the set A exactly one element in the set B. The set A is the domain (or set of inputs) of the function and the set B contains the range (or set of outputs).Then applying this concept to our function 
we can write its domain as follows:
1. D<span>omain of validity for:
</span>
When:
?
when:
where k is an integer either positive or negative. That is:
To match this with the choices above, the answer is:
<span>"All real numbers except multiples of
"
</span>
2. which identity is not used in the proof of the identity
:
This identity can proved as follows:
The identity that is not used is as established in the statement above:
<span>"1 +cos squared theta over sin squared theta= csc2theta"
Written in mathematical language as follows:
</span>
<span>
</span>
The domain of a function are the inputs of the function, that is, a function
1. D<span>omain of validity for
</span>
When:
when:
where k is an integer either positive or negative. That is:
To match this with the choices above, the answer is:
<span>"All real numbers except multiples of
</span>
2. which identity is not used in the proof of the identity
This identity can proved as follows:
The identity that is not used is as established in the statement above:
<span>"1 +cos squared theta over sin squared theta= csc2theta"
Written in mathematical language as follows:
</span>
</span>
Answer:Perry and Lorna take the maximum time and Maria and Lorna take the minimum time when they work together.
Explanation: Since, according to the question- Perry takes time when he works alone = 3 hours
Similarly, Maria takes = 2 hours, While Lorna takes= 2 hours 30 minutes or 2.5 hours.
since, there are three people thus their are three possibility to choose any two of them.
1- when Perry and Maria work together then time taken by them is =
= 6/5= 1 hour 12 minutes.
2- when Maria and Lorna work together then time taken by them is = 10/9= 1 hours 1/9 minutes ≈ 1 hours 7 min
3- when Perry and Lorna work together then time taken= = 15/11= 1 hour 4/11 minutes≈ 1 hours 21 minutes
From the above explanation, it has been proved that when we talk about 2 members team then Perry and Lorna take the maximum time. While Maria and Lorna take the minimum time when they work together.
Answer: A) The initial number of bacteria is 350.
Step-by-step explanation:
Exponential growth equation: , where A=Initial value, r= growth rate. (i)
Given: A bacteria sample can be modeled by the function which gives the number of bacteria in the sample at the end of x days.
Here,
Compare this equation to (i) , we get A = 350 and r= 0.20 = 20% (growth rate)
So, the best interpretation of one of the values in this function are:
A) The initial number of bacteria is 350.