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Semenov [28]
3 years ago
8

Please help me solve this

Mathematics
1 answer:
uysha [10]3 years ago
5 0

Answer:

(D)  (a + 4)/2

Step-by-step explanation:

To solve, you need to subtract the first equation from the second.

  9p = 3a + 1

<u>-  7p = 2a - 3</u>

  2p = 1a + 4

Now, you need to rearrange the equation so that is equal to p.

2p = a + 4

(2p)/2 = (a + 4)/2

p = (a + 4)/2

This gives you answer choice D.

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The net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1x^2 + 6 x + 1, where x is the n
viktelen [127]

Answer:

His profit in dollars per day is 91.

Step-by-step explanation:

You know that the net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1*x² + 6*x + 1, where x is the number of employees he hires.

If he hires the number of employees that will maximize his profit, then this indicates that I should look for the maximum of the function f (x).

A quadratic function or second degree function is a polynomial function defined as:

f(x)= a*x² + b*x + c

If the scalar a> 0, the parabola opens upwards and the vertex is the minimum of the function. On the other hand, if a <0, the parabola opens downwards and the vertex is the maximum of the function.

In this case, having a value of -0.1, the vertex will indicate the maximum of the function.

The maximum in x is then reached when:

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The number of employees who will maximize their profits is 30. So, replacing in the function f (x) you get:

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<u><em> His profit in dollars per day is 91.</em></u>

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