Answer:
<em>Any width less than 3 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:
A = L.W
The first condition can be written as follows:
LW < 18
The length should be 3 feet longer than the width, thus:
L = W + 3
Substituting in the inequality:
(W + 3)W < 18
Operating and rearranging:

Factoring:
(W-3)(W+6)<0
Since W must be positive, the only restriction comes from:
W - 3 < 0
Or, equivalently:
W < 3
Since:
L = W + 3
W = L - 3
This means:
L - 3 < 3
L < 6
The width should be less than 3 feet and therefore the length will be less than 6 feet.
If the measures are whole numbers, the possible dimensions of the garden plot are:
W = 1 ft, L = 4 ft
W = 2 ft, L = 5 ft
Another solution would be (for non-integer numbers):
W = 2.5 ft, L = 5.5 ft
There are infinitely many possible combinations for W and L as real numbers.
Answer:
[P, V1, V2]
[P, V1, V3]
[P, V2, V3]
Step-by-step explanation:
From the question, the executive board has 4 persons.
P = president
V1 = vice president 1
V2 = vice president 2
V3 = vice president 3
The president must be part of three members formed from these 4 to vote yes for a motion to pass
The weighted system can be represented as
[P, V1, V2]
[P, V1, V3]
[P, V2, V3]
These are the 3 possibilities.
Problem
evaluate the function
f(-x) = f(x)
plug in the points (2,1) then solve
Solution
For this case we can conclude that:
f(2) =1
So then we satisfy that:
f(-2) =1
i answer the questions that relate to the lessons i've learned
Answer:
R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}
R3 = {(x, y) (y, z) (z, t) (t, v)}
R1 and R3 are functions because first element in the ordered pair is not repeating, i.e they have unique images