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stellarik [79]
3 years ago
9

To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended five sessions

and paid $25 in all. Later, when he had attended 10 sessions, he paid $40 in all. How much is the membership fee and how much are the sessions.
Write a system of two equations with the variables m and f in each to represent this problem.
Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0
M + 5f = 25....multiply by -1
m + 10f = 40
----------------
-m - 5f = -25 (result of multiplying by -1)
m + 10f = 40
-----------------add
5f = 15
f = 3

m + 10f = 40
m + 10(3) = 40
m + 30 = 40
m = 40 - 30
m = 10

so the membership fee (m) = 10 and the sessions(f) = 3
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Answer:

$15.49

Step-by-step explanation:

29.50*.50=14.75

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14.75+.74=15.49

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3 years ago
At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
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Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

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y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

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3 years ago
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Answer:

12 possible outcomes.

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Step-by-step explanation:

The collection of all possible outcomes of a probability experiment forms a set that is known as the sample space.

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2. There are three possible outcomes for the second wheel: 1, 2 and 3

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\begin{array}{cccc}(F,1)&(A,1)&(I,1)&(R,1)\\(F,2)&(A,2)&(I,2)&(R,2)\\(F,3&(A,3)&(I,3)&(R,13)\end{array}

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