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True [87]
2 years ago
6

a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold

at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items
Mathematics
1 answer:
sergejj [24]2 years ago
8 0

Profits are simply the difference between the selling price and the cost price of an item.

The expression that represents the total profit is 3850x - 22100

The profit (p1) on the first item is given as:

p_1 = 2000x - 10500

The profit (p2) on the second item is given as:

p_2 = 1850x - 11600

So, the total profit (p) on the sales of both items is:

p = p_1 + p_2

Substitute known values

p = 2000x - 10500 + 1850x - 11600

Collect like terms

p = 2000x + 1850x- 10500  - 11600

p = 3850x-22100

Hence, the expression that represents the total profit is 3850x - 22100

Read more about profits at:

brainly.com/question/23103804

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Domain:  \boldsymbol{(-\infty, \infty)}

Range:  \boldsymbol{(-\infty, \infty)}

=======================================================

Explanation:

domain = set of all possible x inputs

range = set of all possible y outputs

--------------

In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.

We can say x is between -\infty and \infty and write -\infty < x < \infty

That turns into the interval notation (-\infty, \infty)

The curved parenthesis are <u>always</u> used with either infinity because we cannot reach them.

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The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.

If it peaked at y = 4, then the range would be (-\infty, 4], but instead the graph goes beyond y = 4 because of that upward arrow.

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