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3 years ago

Please answer the following question

Mathematics

1 answer:

wel3 years ago

6 0

B, x>5 Because the graph is shaded right from 5 meaning x is greater than 5. It is an open dot meaning 5 is not included so we have to use > not ≥

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5x +6y = 20 (1)

slega [8]

(2) + (2)

=> 8x - 6y = -46 ———(3)

(1) + (3)

=> 5x + 6y + (8x - 6y) = 20 - 46

=> 13x + (6-6)y = -26

=> 13x + 0y = -26

=> 13x = -26

=> x = -26/13

=> x = -2

=> 5(-2) + 6y = 20

=> 6y = 20 + 10

=> 6y = 30

=> y = 5

x = -2, y = 5 => C

4 0

2 years ago

Read 2 more answers

Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for

MAXImum [283]

72 minutes

We require their hourly rate of work

Maria cleans $\frac{1}{2}$ the house in 1 hour

Sasha cleans $\frac{1}{3}$ of the house in 1 hour

let x be the time it takes both to clean the house

$\frac{1}{2}$ + $\frac{1}{3}$ = $\frac{1}{x}$

multiply through by 6x

3x + 2x = 6

5x = 6 ⇒ x = $\frac{6}{5}$

Together they can clean the house in 72 minutes

6 0

3 years ago

What is 2 to the first power?

Colt1911 [192]

2 to the first is 2 because there is only one 2

7 0

2 years ago

One of the equations below is not correct. Which on is incorrect. Then explain the error that was made and write the correct ans

timurjin [86]

Only 3 is false, because of spare minus.

3 0

3 years ago

NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi

natali 33 [55]

Answer:

a. $\frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100$

b. $\frac{dR(q)}{dq}=-0.01q+200$

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

$\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100$

b) The income function is given by the relation $R (q) = P (q) q = -0.005q^2 + 200q$ .

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

$\frac{dR(q)}{dq}= -0.01q+200$

(c) The profit function of the company is given by the relation $U (q) = R (q) - C (q)$ , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

$\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100$

When q = 2000, the marginal utility is:

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

When q = 7000, the marginal utility is:

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

6 0

3 years ago