Answer:
The sheet should be turned up 7.5cm on each side to obtain maximum volume.
Step-by-step explanation:
If we make a rectangular eavesdrop, by bending the sheet along dotted line, then.
Height of eaves trough = x cm
Length of eaves trough = 600 cm
Width of eaves trough = (30 - 2x) cm
We know that Volume is given by:
V = Length · Width · Height
V = (x)(30 - 2x)(600)
V = -1200x² + 18000x
To maximize the volume, we take the derivative and put it equal to zero.
Answer:
5
Step-by-step explanation:
p=45/9
If x=-1 => y-2=5=> y=7,x=-1
If x=0=> y+0=5=> y=5,x=0
If x=3=> y+6=5=> y=-1,x=3
Answer:
Multiplying a function by a constant expands the graph vertically by the magnitude of the constant. (If the constant is negative, the graph is also reflected about the x-axis.)
Step-by-step explanation:
Each value of a·ln(x) will be a factor of "a" farther away from the x-axis than it is for the parent function ln(x). That is, a·ln(x) is a vertically expanded version of the parent function ln(x). When |a| > 1, the expansion increases the distance from the x-axis.
The width of one campsite is 30.5 yards.
The campsite area has a 1220 square yards and a width of 5 yards.
If we divide 1220 by 5, we see that the total length of the campgrounds must be 244 yards.
Now, divide 244 by 8 and you will get that each campground is 30.5 yards wide.
(Unless, you forgot to include the distance of the campground with the given width, that would change our answer)
