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Gekata [30.6K]
3 years ago
13

As a membership fee a health club charges a one time amount of $40 and charges $25 for each month. The total fee after m months

is $240. What is the value of m
A runner warms up for ten minutes and then takes seven minutes to run each mile. The total time after r miles is 45 minutes. How many miles are run?
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0
First you need to set up an equation y = mx + b. m would be the monthly charge and b would be the one time fee. x represents the number of months.
To solve for the number of months with a total price of 240 we substitute 240 in for y and solve for x.
240 = 25x + 40
subtract 40 from each side
200= 25x
divide by 25
8 = x
8 months

10 + 7r = 45
7r = 35
r = 5
5 miles
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Answer:

$481.25

Step-by-step explanation:

The number of transactions is 175.

The fee per transaction is $2.75.

The total fees is calculated as:

Number of transactions × Fee per transaction

175 × $2.75

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Step-by-step explanation:

2(3x + 5y = -19)

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3 years ago
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Step-by-step explanation:

4 0
3 years ago
The height of a small rise in a roller coaster track is modeled by () = −. + . + . , where x is the distance in feet from a supp
Reika [66]

Answer:

Maximum height is 7 feet

Step-by-step explanation:

Solution:-

- The complete question is as follows:

" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.

Find the greatest height of the rise "

- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.

- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.

                    f(x) = –0.07x^2 + 0.42x + 6.37

- Now set the first derivative equal to zero, and determine the critical values of x:

                    0 =  -0.14x + 0.42

                    x = 0.42 / 0.14 = 3 ft

- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:

                    f ( x = 3 ) = max height

                    max height =  –0.07*3^2 + 0.42*3 + 6.37

                                        = 7 ft

5 0
3 years ago
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