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V125BC [204]
3 years ago
13

The tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negat

ive 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22)
Mathematics
2 answers:
weeeeeb [17]3 years ago
6 0

Answer:

(8,-22)

Step-by-step explanation:

i just took the test and checked

Basile [38]3 years ago
4 0

Answer: The answer is D

Step-by-step explanation:

i took the test

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y= 0,-2

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What property is 1 • 4 = 4?¿? I forgot lol
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Ugh I hate these... Inverse property of multiplication.
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Read 2 more answers
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
5. Mr. Rodriguez invests $2,000 in a savings plan. The savings account pays an annual interest rate of 5.75% on the amount he pu
slamgirl [31]

Answer: $1150

Step-by-step explanation:

Simple interest is calculated as:

= Principal × Rate × Time

where,

Principal = $2000

Rate = 5.75%

Time = 10

Interest = 2000 × 5.75% × 10

= 2000 × 0.0575 × 10

= 1150

The amount earned will be $1150.

4 0
3 years ago
What is the y intercept of 8x+4y=16
amid [387]
4 is the correct answer
8 0
3 years ago
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