Answer:
x≠-1,1
Step-by-step explanation:
f(g(x)) is a composition where g(x) is is substituted for x in f(x).
Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.
|x|-1=0
|x|=1
x=1,-1
Answer: (d). Area = 6.8 × 10^3 m^2 (to 2 significant figure)
Step-by-step explanation:
The area to find rectangular is:
Area = length × breadth
Area = 32.30 × 210
Area = 6783 m^2
Area = 6.8 × 10^3 m^2 (to 2 significant figure)
Answer:
There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.
Step-by-step explanation:
a) What is the probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected?
The problem states that 40% of the travelers on vacation check work email. And 16% of them check both work email and use a cell phone.
So, the probability is the division of those who use both email and cellphone by those who use email.
There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.
Answer:
47.74
Step-by-step explanation:
(tax is 8.5% of 100%, so you turn it into a fraction)
44 x .085 = 3.74
44 + 3.74 = 47.74
Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we consider:
- The flat fee as the y-intercept.
- The hourly rate as the slope.
Hence the costs for x hours of moving from each company are given as follows:
For 7 hours, the costs are given as follows:
- A(7) = 50 + 25 x 7 = $225.
- B(7) = 40 + 30 x 7 = $250.
- C(7) = 60 + 20 x 7 = $200.
- D(7) = 150 + 5 x 7 = $185.
Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.
More can be learned about linear functions at brainly.com/question/24808124
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