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bulgar [2K]
3 years ago
11

Is it (sometimes true/never true) that all three altitudes of a triangle fall outside the triangle?

Mathematics
1 answer:
aniked [119]3 years ago
5 0

never true is always 180

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Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys
il63 [147K]

Answer:

a)  P(x)=-0.042x^2+530x-18000

b)  P'(x)=-0.084x+530

c)

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

a)

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

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

Finding Profit Function (P(x)):

P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000

This is the profit function.

b)

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

\frac{d}{dx}(x^n)=nx^{n-1}

Now, we differentiate the profit function to get the marginal profit function (P'):

P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530

This is the marginal profit function , P'.

c)

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194

and

P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268

6 0
3 years ago
What is 0.25 (repeating 5) as a fraction?​
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1/2 or 2/4 pretty sure
4 0
2 years ago
What does -3x + 7 + -6x t 9 equal
liberstina [14]

Answer:

-50x

Step-by-step explanation:

-6x times 9 which is -54x

-54x-3x = -57x

-54x+7

8 0
3 years ago
What 2 fun facts did you learn about the inauguration
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1-there were a huge amount of firsts yesterday
2-first ever inauguration the ex president didn’t go
8 0
3 years ago
Which expression is equivalent to 5^4(5^-^3)^2?<br> 5^1 <br> 5^2<br> 1/5^1<br> 1/5^2
inessss [21]

Answer:

1 5th  ^2.

Step-by-step explanation:

8 0
3 years ago
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