Answer:
B.
Step-by-step explanation:
The function is positive when it is above the x-axis
The following x values are where the function has positive y coordinates:
(-2,0)
(4,inf)
The function is negative when it is below the x-axis
The following x values are where the function has negative y coordinates:
(-inf,-2)
(0,4)
So you should see all of these intervals listed in choice B
The volume as a function of the location of that vertex is
... v(x, y, z) = x·y·z = x·y·(100-x²-y²)
This function is symmetrical in x and y, so will be a maximum when x=y. That is, you wish to maximize the function
... v(x) = x²(100 -2x²) = 2x²(50-x²)
This is a quadratic in x² that has zeros at x²=0 and x²=50. It will have a maximum halfway between those zeros, at x²=25. That maximum volume is
... v(5) = 2·25·(50-25) = 1250
The maximum volume of the box is 1250 cubic units.
Answer:
143ft
Step-by-step explanation:
12in is 1 foot and 13x11 (11x13) is 143
Answer:
the value of what exactly ❓
Answer: Juan travelled 28 miles in the taxi
Step-by-step explanation:
A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)
So if F represents the fare, then
F = $2.25 + $0.20(m - 1)
If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,
F = $2.25 + $0.20(m - 1). It becomes
7.65 = 2.25 + 0.20(m-1)
7.65 = 2.25 + 0.20m - 0.20
7.65 - 2.25 + 0.20 = 0.2m
0.2m = 5.6
m = 5.6/0.2 = 28 miles
