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nevsk [136]
2 years ago
5

A restaurant sells tea for $1.50 plus $0.50 per refill. The restaurant brews enough tea for 4 refills per customer. The linear f

unction that represents the total cost of r tea refills is C(r)=0.5r+1.5. Describe an appropriate domain of this function. Make sure to identify the set of numbers appropriate to the domain.
Mathematics
1 answer:
ra1l [238]2 years ago
5 0

Answer:

The correct option is;

The domain, r is equivalent to W = {0, 1, 2, 3,...}

Step-by-step explanation:

The cost for each cup of tea sold by the restaurant = $1.50

The cost per tea refill = $0.50

The amount of tea the restaurant brews = 4 refills per customer

The cost of r tea refills C(r) is given as follows;

C(r) = 0.5·r + 1.5

The domain is the set of all whole, W, numbers or the set of all natural numbers including 0

r = W = {0, 1, 2, 3,...}.

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Drag the values to order them from least to greatest, with the least at the top. Item 2 moved to position 3. 79 − − √ + 63 − − √
Nonamiya [84]

\sqrt{63} \\ \\ \sqrt{79}  \\ \\ \sqrt{143} \\ \\ 4\pi

<h2>Explanation:</h2>

As I understand, in this exercise, we have the following numbers:

\text{Number 1}=\sqrt{79} \\ \\ \text{Number 2}=\sqrt{63} \\ \\ \text{Number 3}=\sqrt{143} \\ \\ \text{Number 4}=4\pi

By using calculator, let's convert those numbers into decimal form:

\text{Number 1} \approx 8.88\\ \\ \text{Number 2} \approx 7.93 \\ \\ \text{Number 3} \approx 11.96 \\ \\ \text{Number 4} \approx 12.56

So arranging from least to greatest we have:

\text{Number 2} \\ \\ \text{Number 1} \\ \\ \text{Number 3} \\ \\ \text{Number 2}

Put another way:

\sqrt{63} \\ \\ \sqrt{79}  \\ \\ \sqrt{143} \\ \\ 4\pi

7 0
2 years ago
WILL GIVE FIRST RIGHT ANSWER BRAINIEST
saw5 [17]

Answer:

2 integers: $7 and $8

5-by-step explanation:

compute 3 times square root of 5 and get 6.708. . .

Plot that.

Compute 5 times the square root of 3 and get 8.6602...

Plot that.

See which whole numbers are between those two points. Only two: 7 and 8

Since the question includes $ signs (WHY??) include the $ in your answer.

8 0
2 years ago
Function g can be thought as scaled version of f(x)=x^2
Genrish500 [490]

Answer:

g(x)=-\frac{1}{4} x^2

Step-by-step explanation:

The graph is reflected against the x-axis, meaning it is negative

Next, we see that the graph is stretched out, therefor we have a fraction

The fraction is -1/4

You can check by inputting the x values into the x variable.

4 0
2 years ago
Jeff earned his pilot's license and flew to visit his brother 200 miles away. A headwind of 20 mph slowed down the plane's speed
lora16 [44]
<h2>Plane's speed without wind i s 117.68 mph</h2>

Step-by-step explanation:

We have speed of plane without wind is x.

Distance to brothers place = 200 miles.

A headwind of 20 mph slowed down the plane's speed on the first leg of the trip

Speed to brothers place = x - 20

We have

         Distance = Speed x Time

         200=(x-20)\times t_1\\\\t_1=\frac{200}{x-20}

A tailwind of 20 mph sped up the plane on the return trip

Speed of return trip = x + 20

We have

         Distance = Speed x Time

         200=(x+20)\times t_2\\\\t_2=\frac{200}{x+20}

The entire trip took 3.5 hours.

That is

            t_1+t_2=3.5\\\\\frac{200}{x-20}+\frac{200}{x+20}=3.5\\\\200x+4000+2000x-4000=3.5(x-20)(x+20)\\\\400x=3.5x^2-1400\\\\7x^2-800x-2800=0\\\\\texttt{x = 117.68mph or x =-3.40mph}

Plane's speed without wind i s 117.68 mph

7 0
2 years ago
The number of hours walked varies inversely with the speed of the walker. if it takes sam 12 hours to complete his walking goal
Effectus [21]
We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s. 

                        h = k/s
Substituting the known values,
                        12 = k/5
                          k = 60

For the second scenario,
                          h = k/s
Substituting the calculated value for k and the given value for speed,
                          h = (60)(3 miles/hour)
                         h = 20 hours
                         h = 20 hours

Therefore, it will take 20 hours to walk with a speed of 3 miles per hour. 
7 0
2 years ago
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