Answer:
(5, -3)
Step-by-step explanation:
let (x1, y1) = (6, -7) and (x2, y2) = (4,1)
(Xmidpoint, Ymidpoint) = ( (x1+x2) / 2, (y1+y2) / 2)
= (5, -3)
Answer:
Increasing on: 
Decreasing on: 
Constant at : x=-1
Step-by-step explanation:
The given absolute value function is 
.
A function is said to be increasing if for all 
, 
From the graph, we can observe that the graph has a positive slope for all x-values less than -1. This implies that the interval of increase is or 
We can also observe that, the slope of this function is negative on the interval: or 
.
At x=-1, the function is neither increasing nor decreasing. We say the function is constant at x=-1
seven times a number in algebraic expression is 7x
hope this is helpful,
^_^
Answer:
75
Step-by-step explanation:
5(2.5)(6)
5*2.5*6
=75
The area is:
A = x * y = 45000 feet ^ 2
The cost function is given by:
C = 1 * (2x) + 2 * (2y)
We write the function in terms of x:
C (x) = 1 * (2x) + 2 * (2 (45000 / x))
Rewriting we have:
C (x) = 2x + 180000 / x
We derive the expression:
C '(x) = 2 - 180000 / x ^ 2
We match zero:
2 - 180000 / x ^ 2 = 0
We clear x:
2 = 180000 / x ^ 2
x ^ 2 = 180000/2
x = root (90000)
x = 300 feet
Therefore the total cost will be:
C (300) = 2 * (300) + 180000/300
C (300) = 1200 $
Answer:
The cost of the least expensive fence is:
C (300) = 1200 $
