Answer:
a. 8.4 ft³
b. 4.44 ft × 2.44 ft × 0.78 ft
Step-by-step explanation:
a. <em>Maximum volume
</em>
We are creating a box with dimensions
l = 6 – 2x
w = 4 – 2x
h = x
V = lwh = x(6 – 2x)(4 – 2x)
We must determine the value of x that makes V a maximum.
One way is to plot the function V = x(6 – 2x)(4 – 2x).
The maximum appears to be at about (0.78, 8.4).
Thus, the maximum volume is 8.4 ft³.
b.<em> Dimensions
</em>
l = 6 – 2 × 0.78 = 6 – 1.56 = 4.44 ft
w = 4 – 2 × 0.78 = 4 – 1.56 = 2.44 ft
h = 0.78 ft
The box with maximum volume has dimensions 4.44 ft × 2.44 ft × 0.78 ft.
Answer:
(3,5)
Step-by-step explanation:
Answer:
(a). Assuming consumption is only dependent upon miles driven, the function is defined as :
Amount of gas left after driving x miles :
(b). The y-intercept is obviously 10. This represents the initial gas in the tank, 10 gallons.
(c). The x-intercept is the solution to
The x-intercept is 250. It represents the "distance taken by car to empty the tank".
99(15) = 1.35x14.85 = 1.35x14.85/1.35 = 11
I think it is 15. I am not sure about the proper way to solve this....I just know that if he sold 15 brownies, he could buy 11 packs with exactly no change left over.
