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wlad13 [49]
3 years ago
11

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 p

er month, with unlimited data. Rule C gives the monthly cost, in dollars, of using g gigabytes of data on Company C's plan. Rule D gives the monthly cost, in dollars, of using g gigabytes of data on Company D's plan.
Mathematics
1 answer:
DaniilM [7]3 years ago
3 0

Answer:

C(g) = 10 + 15g

C'(g) = 80

The monthly charges of Company C for using 2 Gigabyte of data usage.

Step-by-step explanation:

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.

Now, the monthly cost in Company C for using g gigabyte of data will be  

C(g) = 10 + 15g ........ (1)

Again, the monthly cost in Company D for using g gigabyte of data will be  

C'(g) = 80 ......... (2)

Now, from equation (1), the statement C(2) = 10 + 15 × 2 = 40, means that monthly charges of Company C for using 2 Gigabyte of data usage.

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Without graphing, tell whether the line containing (4, 2) and (4, 9) is horizontal, vertical, or neither.
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3 years ago
(-0.75+6)-1(2.5x+-1.9
fenix001 [56]

Simplifying

(0.75x + 6) + -1(2.5x + -1.9) = 0


Reorder the terms:

(6 + 0.75x) + -1(2.5x + -1.9) = 0


Remove parenthesis around (6 + 0.75x)

6 + 0.75x + -1(2.5x + -1.9) = 0


Reorder the terms:

6 + 0.75x + -1(-1.9 + 2.5x) = 0

6 + 0.75x + (-1.9 * -1 + 2.5x * -1) = 0

6 + 0.75x + (1.9 + -2.5x) = 0


Reorder the terms:

6 + 1.9 + 0.75x + -2.5x = 0


Combine like terms: 6 + 1.9 = 7.9

7.9 + 0.75x + -2.5x = 0


Combine like terms: 0.75x + -2.5x = -1.75x

7.9 + -1.75x = 0


Solving

7.9 + -1.75x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Add '-7.9' to each side of the equation.

7.9 + -7.9 + -1.75x = 0 + -7.9


Combine like terms: 7.9 + -7.9 = 0.0

0.0 + -1.75x = 0 + -7.9

-1.75x = 0 + -7.9


Combine like terms: 0 + -7.9 = -7.9

-1.75x = -7.9


Divide each side by '-1.75'.

x = 4.514285714


Simplifying

x = 4.514285714

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