1. 36x + 4
2. 30n + 42
3. -24p + 32
4. 24p -28
5. 15m - 30
6. 5x + 45
Answer:
zero goats and 120 Ilamas to get profit of $15,120
Step-by-step explanation:
Goats: G
Ilamas: l
Explicit constraints:
2G + 5l ≤ 400
100G+ 80l≤ 13,200
Implicit constraints
G≥0
I≥0
P= 84G+ 126l
See attachment for optimal area
substituting coordinats of optimal region in profit equation to get profit
When G= 132, l=0
P=84(132) + 126(0)
P=11,088
When G=0, l=120
P=84(0)+ 126(120)
P = 15120
When G= 100, l=40
P=84(100)+126(40)
P=13440
First we will find the x coordinate.
x1+x2 / 2 = the x coordinate of the midpoint.
-9 + x2 / 2 = 10
x2/2 -4.5 = 10
x2/2 = 14.5
x2 = 29
Now the y coordinate:
y1+y2 /2 = y coordinate of the midpoint
7 + y2 / 2 = -3
y2/2 + 3.5 = -3
y2/2 = -6.5
y2 = -13
So the other endpoint is (29,-13)
I hope i am right :)
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
"THIS MESSAGE IS TOP SECRET."
We need to use the Caesar cipher.
As in general we always take a shift of 3 keys in Caesar cipher.
so, According to shift of 3 keys it becomes,
T→W
H→K
I→L
S→V
M→P
E→H
A→D
G→J
O→R
C→F
R→U
P→S
So, it can be written as
"THIS MESSAGE IS TOP SECRET."
WKLVP HVVDJ HLVWR SVHFU HW.
we make a set of 5 letters in a word after Caesar cypher.
Hence, Option 'a' is correct.
i think the best answer for this question is A)