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Irina-Kira [14]
3 years ago
14

Laura sends an average of 27 text messages per month to each of f friends. Her cell phone provider charges her a flat rate of $3

.50 per month and $0.04 per text message. The function t(f) gives the total number of text messages Laura sends each month to f friends, and g(t) gives the amount Laura is charged by her cell phone provider for t text messages.
find t(f) and g(t)
Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

t(f) = 27*f

g(t) = $0.04*27*f

without the value for f (the number of friends) that is the farthest this can be solved.

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Log10 (2x + 1) - logio(3x - 2) = 1​
Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

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Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

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Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

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Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

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To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

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Hence, the solution to the given equation is x=3/4 .

3 0
3 years ago
The length of a model car is 1/20 of the length of the actual car. If the model. is 8.7 inch long, how long is the actual car? E
madam [21]
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the answer is 14 feet and 6 inches or 14.5 feet
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