Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are 
.
Step-by-step explanation:
We know that the coordinates of the midpoint(x,y) of line joining A(a,b) and B(c,d) is given by :-
.....(i)
Given : The coordinates of endpoints of CM are C(1, -6) and M(7,5)
Then , by using (i) , the coordinates of the midpoint of CM would be :-
Hence, the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are .
Answer:
(a) - 25 boxes per dollar
(b) - 20 boxes per dollar
Step-by-step explanation:
Given that,
Consumer's willing to buy boxes of nails at p dollars per box:
N(p) = 80 - 5p^{2}
(a) Change in price from $2 to $3.
N(2) = 80 - 5(2)^{2}
= 80 - 20
= 60
N(3) = 80 - 5(3)^{2}
= 80 - 45
= 35
Therefore, the average rate of change of demand is
= [N(3) - N(2)] ÷ (3 - 2)
= 35 - 60
= - 25 boxes per dollar.
(b) N(p) = 80 - 5p^{2}
Now, differentiating the above function with respect to p,
N'(p) = -10p
Therefore, the instantaneous rate of change of demand when the price is $2 is calculated as follows:
N'(p) = -10p
N'(2) = -10 × 2
= -20 boxes per dollar
Answer:
2, 3, 4
Step-by-step explanation:
Since the question is asking which of the following are functions, lets define what it is first
Function: An equation for one answer for y for every x
This means that every x coordinate can have a y, but multiple x coordinates can have the same y coordinate
Because of this it has to be every one of them except the first one
Divide total amount of boards by amount needed for a birdhouse:
24.58 / 1.8287 = 13.44124
He can make 13 birdhouses.
