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Marizza181 [45]
3 years ago
11

The function, f(x) = 70n-400, models the profit if the instructor of a guitar class per month, where n is the number of students

enrolled in the class. How many students must be enrolled in the class for the instructor to make a profit? How many students must be enrolled in the class if the instructor needs to make $1,000.00 profit per month?
Mathematics
1 answer:
Tasya [4]3 years ago
6 0
F(x) = 1,000
70n - 400 = 1,000
70n = 1,000 + 400
70n = 1,400
n = 1,400/70
n = 20

The instructor needs 20 students
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Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

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We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

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-12 = A*(-1)*(6)

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Then the equation is:

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Now we need to write this in standard form, so we just need to expand the equation:

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y =  2*x^2 - 2*x - 24

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