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baherus [9]
3 years ago
7

What is the first derivative of p with respect to q (i.e., differentiate P with respect to q)?P = 6q2 + 3

Mathematics
1 answer:
Ahat [919]3 years ago
4 0

Answer:

<h2>12q</h2>

Step-by-step explanation:

Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;

dy/dx = naxⁿ⁻¹

Rewriting the given equation as P =  6q² + 3q⁰

Using the formula to find the derivative;

dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹

dP/dq = 12q¹ + 0

dP/dq = 12q

<em>Hence the derivative of the function P with respect to q is 12q</em>

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Which of the following equations is equivalent to 2/3x - 1/2y = 6?
Nostrana [21]

Answer:

4x - 3y = 36

Step-by-step explanation:

2/3x - 1/2y = 6

Multiply each side by 6 to get rid of the fractions

6*  (2/3x - 1/2y) = 6*6

Distribute the 6

12/3 x - 6/2y = 36

4x -3y = 36


4 0
3 years ago
Roger is paid $50 to sell videos of a play to an audience after the play is preformed.
konstantin123 [22]

Answer:

Roger can earn $510 at most.

Step-by-step explanation:

We are given the function



Which gives the earnings of Roger when he sells v videos. Since the play’s audience consists of 230 people and each one buys no more than one video, v can take values from 0 to 230, i.e.  



That is the practical domain of E(v)

If Roger is in bad luck and nobody is willing to purchase a video, v=0

If Roger is in a perfectly lucky night and every person from the audience wants to purchase a video, then v=230. It's the practical upper limit since each person can only purchase 1 video

In the above-mentioned case, where v=230, then



Roger can earn $510 at most.

3 0
3 years ago
A movie theatre has 26 rows of seats.There are 18 seats in each row.How many seats are there in all?
lawyer [7]
468 seats is the answer.

26 x 18

or

13 x 2 x 9 x 2

both equal 468
5 0
3 years ago
What is the equation of the translated function, g(x), if
Ivanshal [37]

Answer:

D.  g(x)  =  (x+ 4)² + 6

Step-by-step explanation:

Here, the given function is f(x)  = x²

Now,if a graph  x² is translated by (h,k) where:

h = Translation  done towards RIGHT

k = Translation  done towards UP

Then the translated equation is given as:

y =    (x-h)² + k    .... (1)

Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.

⇒  h =  - 4 and k = 6

Substituting the value of h, k in (1) , we get:

g(x) =  (x-(-4))² + 6  =  (x+ 4)² + 6  

⇒ g(x)  =  (x+ 4)² + 6

Hence,  the equation of the translated function, g(x) is g(x)  =  (x+ 4)² + 6.

3 0
3 years ago
X squared +20 equals 2X
Ivahew [28]

x={1+i√19 , 1-i√19}

solve this by using quadratic formula

5 0
3 years ago
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