Answer:
Company one charges $11 + $0.16 per min.
Then if you talk for x minutes, the cost will be:
C₁(x) = $11 + ($0.16 per min)*x
For company two, the prize is $20 + $0.11 per min, and if yo talk for x minutes, the cost will be:
C₂(x) = $20 + ($0.11 per min)*x
Now we want to find the value of x, the number of minutes, such that the cost is the same with both companies.
C₁(x) = C₂(x)
$11 + ($0.16 per min)*x = $20 + ($0.11 per min)*x
($0.16 per min)*x - ($0.11 per min)*x = $20 - $11
($0.05 per min)*x = $9
x = $9/($0.05 per min) = 180 mins
If you speak for 180 minutes, the cost is the same in both companies.
Denominator is the number which appears at the
bottom of fraction so the fraction we want is in the form X/8 and also less
than 5/6
Lets start from changing the values of X from
1.
1/8 = 0.125 and 5/6 = 0.8333
2/8 = 0.25
3/8 = 0.375
4/8 = 0.5
5/8 = 0.625
6/8 = 0.75
7/8 = 0.875, this is greater than 5/6
<span>So, the fractions with denominator 8 and less
than 5/6 are 1/8, 2/8, 3/8, 4/8, 5/8 and 6/8</span>
The simplified expression of the function
is
. f(x) is increasing for all x > –4.The correct answer is option C.
<h3>What is a function?</h3>
A function is defined as a relation between the set of inputs having exactly one output each.
The function expression is given as:
Expand the denominator
Factorize the denominator

Factor out x + 9

The simplified expression of the function
is
. f(x) is increasing for all x > –4
Read more about functions at:
brainly.com/question/1851758
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