Answer: (x+1)^2=12(y-2)
Step-by-step explanation:
<span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q:
(1/q)(dq/dp) − 3/p + 0.003 = 0
dq/dp = (3/p − 0.003)q.
So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p.
b) The revenue is pq.
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1:
3 − 0.003p = −1
0.003p = 4
p = 4/0.003 = 4000/3 = 1333.33</span>
C. f(x)=2/3x-2
<h2>
Explanation:</h2>
Looking at the graph we realize that the y-intercept is given by:

The Slope-intercept form of the equation of a line is given by:

So, our equation becomes:

So the only option that matches a negative y-intercept is C. Let's see that the slope
. Look at the y-intercept, if you increase x by 3 units, then y increases by 2 units and goes from
to
. In other words:

<h2>Learn more:</h2>
Writing linear equations: brainly.com/question/12169569
#LearnWithBrainly
Answer:
Triangle ABCABCA, B, C the option C is correct.
Step-by-step explanation:
As in the triangle ABCABCA, B, C
the given Choice A is DEFDEFD, E, F, and Choice B is GHIGHIG, H, I is in the same sequence as ABCABCA, B, C so option C is correct.
Answer:
-x^3*(x + 1)
Step-by-step explanation:
Perform the indicated multiplication and then write out all the terms in descending order by powers of x:
-x^3(5x+1)+4x^4 = -5x^4 - x^3 + 4x^4
= -x^4 - x^3, or = -x^3*(x + 1)