Answer:
c
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Minimize c = -x + 5y
The constraints say
2x >= 3y, x<=3y, y>=4 and x>=6, x+y<=12
Since we need to minimize y and maximize x in order to minimize c
y_(min) = 4
x_(max) <= 3y_(min) <= 12
which is also a constraint from x + y <= 16
Hence the closest feasible solution will be (12,4)
Therefore, minimum value of c will be -12 + 5(4) = 8
Hence the final answer is equal to 8
H = cost of horseback riding per hr, p = cost of parasailing per hr
3h + 2p = 192...multiply by 2
2h + 3p = 213..multiply by -3
------------------
6h + 4p = 384 (result of multiplying by 2)
-6h - 9p = - 639 (result of multiplying by -3)
-----------------add
-5p = - 255
p = -255/-5
p = 51 <== cost of 1 hr for parasailing
3h + 2p = 192
3h + 2(51) = 192
3h + 102 = 192
3h = 192 - 102
3h = 90
h = 90/3
h = 30 <== cost of 1 hr of horseback riding
Hello!
This question is an example of composition of functions. It is using range values of some given function as domain values of some other given function to find new range values. Remember that the domain of the composite function will be the same as the domain of the first function.
Given f(g(x)), for f = 
, substitute x with g(x) = 
.
Therefore, 
.
9514 1404 393
Answer:
52 measures
Step-by-step explanation:
Let s represent the length of the second song. Then the first song's length is 108 -s, and the difference in length is ...
(108 -s) -(s) = 4
108 -2s = 4 . . . .collect terms
54 -s = 2 . . . . divide by 2
52 = s . . . . . add s-2
Grace's second song is 52 measures long.
