The point slope form of a line is written as y - y1 = m(x -x1)
Where m is the slope and x1 and y1 are the points on the line.
You are told the slope is 3 and the point is (2,-1/2)
x1 is 2 and y1 is -1/2
Replace those in the equation to get:
y- (-1/2) = 3(x-2)
Simplify to get the final answer:
y + 1/2 = 3(x-2)
Answer:
eleven below zero
Step-by-step explanation:
opposite of -11 =11 so that doesn't work
positive eleven=11 so that doesn't work
eleven greater than zero=11 so that doesn't work
eleven below zer0= -11 so it works
Q(p) = k/p^3 . . . . . . . . we want to find k
q(10) = k/10^3 = 64
k = 64,000
Revenue = q(p)*p = 64000/p^2
Cost = 150 +2q = 150 +2*64000/p^3
Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150
Differentiating to find the maximum profit, we have
.. dProfit/dp = -2(64000/p^3) +6(64000/p^4) = 0
.. -1 +3/p = 0
.. p = 3
A price of $3 per unit will yield a maximum profit.
Answer:
Step-by-step explanation:
hope it helps
Answer:
Step-by-step explanation:
4x + y = - 1 -------------(I)
-5x - 2y = -4 -----------(II)
Multiply the equation (I) by 2 and then add the equations.
(I)*2 8x + 2y = -2
(II) <u>-5x - 2y = -4</u> {Now add and y will be eliminated}
3x = -6
x = -6/3
x = -2
Substitute x = -2 in equation (I)
4*(-2) + y = -1
-8 + y = -1
y = - 1 + 8
y = 7