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lidiya [134]
2 years ago
9

Jason owns a cabin that he rents to people for a maximum of 21 nights. He uses the function f(x) = 175x + 50 to calculate the re

ntal cost for nightsWhat is the domain for the function in this context?
Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
7 0

Answer:

domain: all natural numbers greater than zero and less than or equal to 21

Step-by-step explanation:

You cannot go for zero nights, and the maximum number of nights you can stay is 21. You also cannot have fractional night, so your answer has to be in natural numbers.

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Stephanie is a taxi driver. She rents her taxi for $300/week. She feels she can take in $120/day in fares. Let D be the number o
Lesechka [4]

Answer: a. (0, -300), (1, -180), (2, -60), (7, 540)

b. T=120D-300

c. $28080

Step-by-step explanation:

a. T=120D-300 ==> per week

D=0: T=120(0)-300

D=0: T=-300 ==> (0, -300)

D=1: T=120(1)-300

D=1: T=120-300

D=1: T=-180 ==> (1, -180)

D=2: T=120(2)-300

D=2: T=240-300

D=2: T=-60 ==> (2, -60)

D=7: T=120(7)-300

D=7: T=840-300

D=7: T=540 ==> (7, 540)

b. T=120D-300

c. T=120(7)-300

T=840-300

T=$540 per week

1 year = 52 weeks

540*52=$28080

6 0
2 years ago
A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.
vichka [17]

Answer:

14878.04878miles/hours^2

Step-by-step explanation:

Let's find a solution by understanding the following:

The acceleration rate is defined as the change of velocity within a time interval, which can be written as:

A=(Vf-Vi)/T where:

A=acceleration rate

Vf=final velocity

Vi=initial velocity

T=time required for passing from Vi to Vf.

Using the problem's data we have:

Vf=65miles/hour

Vi=6miles/hour

T=14.8seconds

Using the acceleration rate equation we have:

A=(65miles/hour - 6miles/hour)/14.8seconds, but look that velocities use 'hours' unit while 'T' uses 'seconds'.

So we need to transform 14.8seconds into Xhours, as follows:

X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)

X=0.0041hours

Using X=0.0041hours in the previous equation instead of 14.8seconds we  have:

A=(65miles/hour - 6miles/hour)/0.0041hours

A=(61miles/hour)/0.0041hours

A=(61miles)/(hour*0.0041hours)

A=61miles/0.0041hours^2

A=14878.04878miles/hours^2

In conclusion, the acceleration rate is 14878.04878miles/hours^2

7 0
3 years ago
Axel lives in Virginia and makes $54,000 a year. If the median annual income in Virginia is $61,233 and the median annual income
Natalka [10]

Answer:

The answer is Yes Axel will qualify for chapter 7 bankruptcy.

Step-by-step explanation:

To qualify for a Chapter 7 bankruptcy, the debtor must earn less than the state median income on a monthly basis. Here it is given that Axel lives in Virginia and makes $54,000 a year. The median annual income in Virginia is $61,233. So, Axel is earning less than the median income. Hence, he will qualify for chapter 7 bankruptcy.

3 0
3 years ago
Read 2 more answers
Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.
Serga [27]

Answer:

It has a maximum

Step-by-step explanation:

The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.

I hope this helped!

8 0
3 years ago
What is z to the -6th power
jeka94

Answer:

  • z^(-6) or  1/z^6

Step-by-step explanation:

What is z to the -6th power?

  • z^(-6) = 1/z^6
4 0
2 years ago
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