Answer: Choice A) at most 2.5 ft wide
Work Shown:
16w ≤ 40
w ≤ 40/16
w ≤ 2.5
This says that the banner must be at most 2.5 ft wide (choice A)
In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.
Answer:
Y=-2x+6
Step-by-step explanation:
The length of the rectangle is = 72 cm
The width of the rectangle is = 56 cm
Area of the rectangle is = 
=
cm²
As given, the other rectangle has the same area as this one, but its width is 21 cm.
Let the length here be = x


Hence, length is 192 cm.
We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.
So, in the new rectangle,constant of variation=k is given by,
or 
Hence, the constant of variation is 
Answer:
u have to watch the videos so it can help u with the problem
Step-by-step explanation:
It will be easier if u watch them
Answer:
30 trees/acre
Step-by-step explanation:
Let n = the number of trees added to 1 acre
Let Y(n) = the yield in bushels/acre
Yield in bushels/acre = [bushels/tree] x [trees/acre]
Y(n) = (40-n)*(20+n)
= 800 - 20n + 40n - n^2
= n^2 + 20n + 800 ---------------------(1)
The n-value of the vertex ( which is a peak ) is given by the formula:
n(max) = -b/2a
Putting values from equation (1) gives us
n(max) = 10
The grower started with 20 tree/acre and adds 10 more for max yield, so she should plant: 30 trees/acre
and
Maximum yield is 900 bushels/acre.