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lesya692 [45]
2 years ago
13

Don recently received his first credit card, a MasterCard with a credit line of $500. In the first month he had it, he ran up ch

arges of $425. How much of that must he pay if he wants to charge a discount airline ticket, which costs $200, on his card without going over his credit limit
Mathematics
1 answer:
tatuchka [14]2 years ago
4 0

The amount Don must pay on his card without  going over the credit limit is $125.

<h3>How much must Don pay?</h3>

Don's credit limit is $500. If Don does not want to go over the limit, he must not exceed the $500 limit. In order to determine the amount he should pay, add the sum of the charges and subtract it from the credit limit.

Amount to be paid = (425 + 200) - 500 = $125

To learn more about addition, please check: brainly.com/question/19628082

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Step-by-step explanation:

How do we set about finding the points in which two graphs y = f(x) and y = g(x) intersect?

We already know how to find where the graph of f(x) cuts the x−axis. That’s where y = 0. We calculate it by solving the equation  f(x) = 0 .

When the graphs of y = f(x) and  y = g(x)  intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation  f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection. We can then find the y value by putting the value for x that we have found into one of the original equations. That is by calculating either f(x) or g(x).

Example 1 

Calculate the point of intersection of the two lines f(x) = 2x − 1 and g(x) = x + 1.  First let’s look at a graph of the two functions. We can see the point of intersection is (2, 3).



We calculate the point of intersection by solving the equation f(x) = g(x). That is:

    2x − 1 = x + 1

    2x − x = 1 + 1

            x = 2

The y coordinate can now be found by calculating f(2):

    f(2) = 2×2 − 1 = 3

The point of intersection is (2, 3).

The example shows that we can find the point of intersection in two ways.

Either graphically, by drawing the two graphs in the same coordinate system, or algebraically by solving the equation such as the one in the above example.

Solving an equation graphically is easy with a graphical calculator or a computer program such as Excel.

Some equations cannot be solved algebraically but we can find solutions that are correct to as many significant figures as we want by using computers and calculators

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