2x minus 1 into backet 4x plus +2 into bracket
2 answers:
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Answer:
Step-by-step explanation:
Call x the amount of blinds that Manny buys.
Let's call and the amount of curtains that Manny buys
There are only 35 windows, so the number of curtains and windows can not be greater than 35.
Manny can only spend $ 2100
Then we can represent this by an inequality in the following way.
and
We can write this as a single inequality:
Finally, the set of inequalities to model this problem is:
Answer:
11,664 in³
Step-by-step explanation:
For a square side length of x, the girth is 4x and the length of the parcel is then allowed to be up to 108-4x.
The total volume is the product of the edge lengths, so is ...
V = (108 -4x)(x²) = -4x³ +108x²
This will be a maximum where its derivative is zero:
dV/dx = -12x² +216x = 0 = -12x(x -18)
This is zero for x=0 and for x=18.
The maximum volume parcel is 18 in by 18 in by 36 in, and has a volume of ...
(18 in)(18 in)(36 in) = 11,664 in³
