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Sergio039 [100]
3 years ago
5

Alex buys a subscription to a streaming site. The function describes the 5.50m c=3+2 cost of the yearly subscription,c, in terms

of the number of months he uses the service. Would the set of integers be an appropriate domain for the function? What about the set of natural (or counting) numbers? The set of real numbers? Explain why or why not.
Mathematics
1 answer:
azamat3 years ago
3 0

Answer:

5.50 = c = 3 + 5 = 7c \\  \\ then \: divide \: 5.50to \: the7 \\  \\

Step-by-step explanation:

the answer u will get after

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Answer;  1/5
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3 years ago
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How do you solve this?
solong [7]

It looks like your equations are

7M - 2t = -30

5t - 12M = 115

<u>Solving by substitution</u>

Solve either equation for one variable. For example,

7M - 2t = -30   ⇒   t = (7M + 30)/2

Substitute this into the other equation and solve for M.

5 × (7M + 30)/2 - 12M = 115

5 (7M + 30) - 24M = 230

35M + 150 - 24M = 230

11M = 80

M = 80/11

Now solve for t.

t = (7 × (80/11) + 30)/2

t = (560/11 + 30)/2

t = (890/11)/2

t = 445/11

<u>Solving by elimination</u>

Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,

7M - 2t = -30   ⇒   -10t + 35M = -150 … (multiply by 5)

5t - 12M = 115   ⇒   10t - 24M = 230 … (multiply by 2)

Now combining the equations eliminates the t terms, and

(-10t + 35M) + (10t - 24M) = -150 + 230

11M = 80

M = 80/11

It follows that

7 × (80/11) - 2t = -30

560/11 - 2t = -30

2t = 890/11

t = 445/11

4 0
2 years ago
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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

prime factorization

40y³ = 2³×5y³

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Greatest common factor = 5

40y³ - 625 = 5(8y³ - 125)

Note that 8y³ - 125 is the difference of cubes.

8y³ - 125 = (2y)³ - 5³ = (2y-5)((2y)² + 2y·5 + 5²) = (2y-5)(4y² + 10y + 25)

40y³ - 625 = 5(2y-5)(4y² + 10y + 25)

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