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3 years ago

A phone company has two long distance

Mathematics

1 answer:

Bogdan [553]3 years ago

5 0

Answer:

After 300 minutes of long distance calls it will be cheaper for a customer to purchase the first plan.

Step-by-step explanation:

With the information provided, you have to find the amount of minutes of long distance calls where it will be cheaper for the customer to purchase the first plan by stating that the price of the second plan which is calculated by adding up the fixed fee plus the result of multiplying the price per minute for the number of minutes is higher than the price of the first plan, which could be express as:

10+0.05x>25, where:

x is the number of minutes

Now, you can solve for x:

0.05x>25-10

0.05x>15

x>15/0.05

x>300

According to this, the answer is that after 300 minutes of long distance calls it will be cheaper for a customer to purchase the first plan.

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Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

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$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10$

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

$m_1m_2=-1$ .

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the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is $y=\frac{1}{3}x$

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