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2 years ago

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Mathematics

1 answer:

jasenka [17]2 years ago

6 0

Answer:

3.6 mph

Step-by-step explanation:

The total distance was 6 mi. and the total time was 5/3 hr.

6 ÷ 5/3 = 6(3/5) = 18/5 = 3.6 mph

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If 8(x) is the inverse of f(x) and f(x) = 4x + 12 what is g(x) ?

kompoz [17]

Answer:

(y-12)/4

Step-by-step explanation:

If g(x) is the inverse of f(x)

and f(x) = 4x + 12

f⁻¹(x) = g(x)

let f(x) be represented as y

f(x) = y

y = 4x + 12

subtract 12 from both sides

y-12= 4x

divide both sides by 4

(y-12)/4 = x

so f ⁻¹ (y)= (y-12)/4 so g(x) = (x-12)/4

7 0

2 years ago

Kendra is thinking of an integer greater than negative 3 2/5 and less then -2.7.which of the following numbers could Kendra be t

meriva

Hello,

- 3&2/5=-17/5=-3.4

==>-3.4<n<-2.7
==>n=-3 (if -3 is an integer)

7 0

3 years ago

Mr. Barber uses 7/9 yard of wire to put up a ceiling fan. He uses 1/3 yard of wire to fix a switch How much more wire does he us

Oliga [24]

1/3 is the same as 3/9. To solve this, subtract 3/9 from 7/9.

$\frac{7}{9}-\frac{3}{9}= \frac{4}{9}$

Your answer is $\frac{4}{9}$

4 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

Can you please tell me asp

Lera25 [3.4K]

Answer:

i think 8

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers