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vladimir1956 [14]
2 years ago
15

Craig bought a treadmill for $400. He estimates that the annual costs to maintain the machine will be $36. Which rational functi

on yields the average annual cost in dollars of owning the treadmill for x years?
Mathematics
2 answers:
Lorico [155]2 years ago
7 0

Given that Craig bought a treadmill for 400 dollars.

Useful life of the macine = x

Hence annual purchase cost spread over x years will be 400/x per year.

In addition, there is an annual maintenance cost of 36 dollars.

Hence Average annual cost in dollars = purchase cost per year+maintenance cost per year

= \frac{400}{x} +36 \\= \frac{400+36x}{x}

Hence answer for rational function is

either \frac{400}{x} +36[tex]Or [tex]\frac{400+36x}{x}

Katarina [22]2 years ago
5 0

Answer:C

took the test on edge

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Write an equivalent expression for n x a using only addition
bulgar [2K]

Answer:

Equivalent expression for n x a  = a+ a+a+a....n times

Step-by-step explanation:

Given: Expression for n x a .

To find : Write an equivalent expression for n x a using only addition.

Solution : We have given that n x a .

Here, we can say Sum of  a is n times.

We can rewrite it n x a  = a+ a+a+a....n times.

Example : 3 x 2 = 2 +2+ 2.

                   6 = 6 ( true)

Therefore , equivalent expression for n x a  = a+ a+a+a....n times.

7 0
2 years ago
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A study was conducted on the effects of long-term marriage (more than 10 years). Researchers gathered data from a random sample
True [87]

Answer:

The correct option is;

We cannot infer a cause and effect relationship because the multiple variables were included

Step-by-step explanation:

The criteria required in order to establish a cause and effect relationship includes the following;

1) There must be a temporal precedence between the cause and the effect such that the cause must take place before the effect

In the question, it is not clearly stated weather there was a divorce (the likely cause) takes place before the event

2) In the vent that the cause occurs, the effect must occur

Therefore, all those who are not married are expected to be deceased for there to be a cause and effect relationship

3) The cause and effect relationship must not be explicable by other factors

In the question, it is stated that those who were married were more likely to be active physically, maintain an healthy weight and were nonsmokers, which are factors that contribute to longevity.

8 0
2 years ago
How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?
DaniilM [7]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\

Following are the graph attachment to this question:

The second function, that is g(x)= (\frac{2}{3})^x is not even a function.

Remember that g(x) function is the inverted f(x) function. And when you see this pattern, a reflection on the Y-axis expects you.

Reflection in the axis.

In x-axis:

Increase the function performance by -1 to represent an exponential curve around the x-axis.

In y-axis:

Increase the input of the function by -1 to represent the exponential function around the y-axis.

8 0
2 years ago
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Grace is an hourly employee, and the line that models her total pay in dollars
tresset_1 [31]

Answer: Hello mate!

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

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2 years ago
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terry wants to buy 3 eggplants. The eggplants weigh a total of 3 3/4 pounds. about how much will the eggplants cost?
Mrrafil [7]

You are required to find the weight of each eggplant

The weight of each eggplant is 5/4 pounds

Let

Number of eggplant = 3

Total <em>Weight</em> of eggplant = 3 3/4 pounds

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= 3 3/4 ÷ 3

= 15/4 ÷ 3

= 15/4 × 1/3

= (15 × 1) / (4 × 3)

= 15/12

= 5/4 pounds

Weight of each eggplant = <em>5/4 pounds</em>

Read more:

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