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LenKa [72]
3 years ago
6

The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function

is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

P(x) = 3x - 10

Step-by-step explanation:

Given

R(x) = 5x

C(x) = 10 + 2x

Required

Determine P(x) = (R - C)(x)

In functions;

(f - g)(x) = f(x) - g(x)

So, we have:

P(x) = (R - C)(x)

P(x) = R(x) - C(x)

Substitute values for R(x) and C(x)

P(x) = 5x - (10 + 2x)

Open bracket

P(x) = 5x - 10 - 2x

Collect Like Terms

P(x) = 5x - 2x- 10

P(x) = 3x - 10

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Which system of equations has the solution (4,−2)?
Marat540 [252]

Answer:

A)

Step-by-step explanation:

To find the answer we must solve each of the systems separately. Starting with the first one:

x + y = 2

2x - y = 10

We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:

x + y = 2

y = 2 - x

Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

2x - (2 - x) = 10

2x - 2 + x = 10

3x = 12

x = 12/3

x = 4

Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I'll go with the one that seems easier.

4 + y = 2

y = 2 - 4

y = - 2

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2 years ago
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nirvana33 [79]

Answer:

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2 years ago
What is Howard’s weekly salary to the nearest cent ?
Aleksandr [31]

Answer: can you show a picture

Step-by-step explanation:

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WINSTONCH [101]
Hello. this is the answer for your question

6 0
2 years ago
30 feet below the surface of the water. You are ascending towards the
fomenos

Answer is slope of 5


Step by step


You can graph the slope as seen on the attached picture. You go up 30, you go right +6. Slope is y/x, so 30/6, equals 5



You can also use the slope formula


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(-30-0 ) over (0-6)


-30 over -6


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