It's a linear program; the extrema will be at the corners.
Let's enumerate them. 4 choose 2 gives 6 possible meets of 4 lines. One pair are parallel, down to five to try.
4x-y=1 intersects x=0 at y=-1, outside the domain y≥0.
4x-y=1 intersects y=0 at x=1/4, (1/4, 0)
4x-y=1 intersects x=5 at y=19, (5,19)
(0,0) is outside the domain 4(0)-0=0 which isn't ≥1.
(5,0) is a valid corner.
It's a triangular domain. Three points to try,
C(1/4,0) = 6(1/4) + 2(0) = 3/2
C(5,19) = 6(5) + 2(19) = 68
C(5,0) = 6(5) + 2(0) = 30
Answer: Maximum C=68 at (x,y)=(5,19)
Short Answers
P(Both) = 0.1792
Givens
The total number of roles = 100
Total number of heads = 56
Number of times rolled a four = 32 [check this for me].
Set up the probabilities.
P(H) = 56/100
P(4) = 32/100
P(H)*P(4) = P(Both)
Substitute and solve
P(Both) = 56/100 * 32/100 = 1792/10000
P(Both) = 112/625 because there are many cancellations. Or you could just express it as 0.1972
Answer:
The 
best models the amount of time it takes him to finish with kelvin cycling .
Option (A) is correct.
Step-by-step explanation:
As given
Kevin cycles 18 miles every morning as part of his exercise.
The time it takes him to complete the distance varies inversely as the speed at which he rides.
As m miles per hour is represented the speed.
T is the time taken by Kevin cycle for morning exercise .
Distance = 18
Putting the values in the above
Therefore the best models the amount of time it takes him to finish with kelvin cycling .
Option (A) is correct.
El precio total por 3 1/2 kg de jitomate que compró Juana es 127.75
Para saber el precio total de los 3 1/2 kg de jitomate que compró Juana debemos hacer el siguiente procedimiento.
Necesitamos saber cuánto vale medio kg de jitomate, para ello dividimos 36.50 en 2.
36.50/2 = 18.25
Luego multiplicamos 36.50 por 3, para saber cuánto valen 3 kg de jitomate.
36.50 X 3 = 109.5
Por último, sumamos el precio de medio kilo con el precio de tres kilos para tener el total que pagó Juana.
109.5 + 18.25 = 127,75
Aprenda más en: brainly.com/question/16170919
Answer:
24y+24
Step-by-step explanation:
You multiply the number on the outside of the parenthesis with both the numbers on the inside of the parenthesis. The + stays the same.
4*6y=24y
4*6=24
Hope this helps!
