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3 years ago

Can someone help me with this math problem..?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

10x -15y=45
9x+15y= 12

19x= 57
x= 3

3(3)+5y= 4

9 + 5y = 4
5y = -5
y = -1

(3,-1)

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Write the following ratio using two other notations. 8/9

belka [17]

Answer: 8 to 9 or .8888888888888888889

Step-by-step explanation:

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3 years ago

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) $P'(x)=-0.084x+530$

$P'(4000)=194$

$P'(9500)=-268$

Step-by-step explanation:

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.

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'.

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

1.) Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new

Ivahew [28]

So here are the answers to the given questions above:
1. Since the equation is already given, what we are going to do is to solve for x first.
x + (2x – 10) + 1/2 (2x – 10) = 145
x + (2x -10) + x - 5 = 145
x + 2x + x - 10 - 5 = 145
4x = 145 +10 + 5
4x = 160 <<divide both sides by 4 and we get
x = 40.
Therefore, the amount of white paint is 40ml.
The amount of blue paint is 70ml and the green paint is 35ml.
So the difference between the amounts of white paint and blue paint Vivian combined is 30ml.
2. The equation of the line that passes through the points (-2, 1) and (1, 10) would be: 3x - y = -7, the last option. In order to check, just plug in the given ordered pairs.

3 0

3 years ago

Some one please help with any of these!!!!

lidiya [134]

11.) y=(4/5)x-(12/5)

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3 years ago

Whats half of 30 i need a answer

Flura [38]

Answer:

Step-by-step explanation:

30 / 2 = 15